Abstract

In the past decades, quantum plasmonics has become an active area due to its potential applications in on-chip plasmonic devices for quantum information processing. However, the fundamental physical process, i.e., how a quantum state of light evolves in the photon-plasmon conversion process, has not been described by a detailed microscopic quantum model. Here, we report a complete characterization of the plasmon-assisted extraordinary optical transmission process through quantum process tomography. By inputting various coherent states to interact with the plasmonic structure and detecting the output states with a homodyne detector, we reconstruct the process tensor of the photon-plasmon conversion process. Both the amplitude and phase information of the process are extracted, which explain the evolution of the quantum-optical state after the coupling with plasmons. Our experimental demonstration constitutes a fundamental block for future on-chip applications of quantum plasmonic circuits.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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    [Crossref] [PubMed]

2018 (5)

Y. Zhu, D. Wei, Z. Kuang, Q. Wang, Y. Wang, X. Huang, Y. Zhang, and M. Xiao, “Broadband variable meta-axicons based on nano-aperture arrays in a metallic film,” Sci. Rep. 8(1), 11591 (2018).
[Crossref] [PubMed]

A. I. Fernández-Domínguez, S. I. Bozhevolnyi, and N. A. Mortensen, “Plasmon-enhanced generation of nonclassical light,” ACS Photonics 5(9), 3447–3451 (2018).
[Crossref]

S. G. Dlamini, J. T. Francis, X. Zhang, Ş. K. Özdemir, S. N. Chormaic, F. Petruccione, and M. S. Tame, “Probing Decoherence in Plasmonic Waveguides in the Quantum Regime,” Phys. Rev. Appl. 9(2), 024003 (2018).
[Crossref]

J.-S. Lee, S.-J. Yoon, H. Rah, M. Tame, C. Rockstuhl, S. H. Song, C. Lee, and K.-G. Lee, “Quantum plasmonic sensing using single photons,” Opt. Express 26(22), 29272–29282 (2018).
[Crossref] [PubMed]

M. Dowran, A. Kumar, B. J. Lawrie, R. C. Pooser, and A. M. Marino, “Quantum-enhanced plasmonic sensing,” Optica 5(5), 628–633 (2018).
[Crossref]

2017 (5)

J.-S. Lee, T. Huynh, S.-Y. Lee, K.-G. Lee, J. Lee, M. Tame, C. Rockstuhl, and C. Lee, “Quantum noise reduction in intensity-sensitive surface-plasmon-resonance sensors,” Phys. Rev. A (Coll. Park) 96(3), 033833 (2017).
[Crossref]

C. Altuzarra, S. Vezzoli, J. Valente, W. Gao, C. Soci, D. Faccio, and C. Couteau, “Coherent perfect absorption in metamaterials with entangled photons,” ACS Photonics 4(9), 2124–2128 (2017).
[Crossref]

Y. Wang, X. Fang, Z. Kuang, H. Wang, D. Wei, Y. Liang, Q. Wang, T. Xu, Y. Zhang, and M. Xiao, “On-chip generation of broadband high-order Laguerre-Gaussian modes in a metasurface,” Opt. Lett. 42(13), 2463–2466 (2017).
[Crossref] [PubMed]

D. Wei, Y. Wang, D. Liu, Y. Zhu, W. Zhong, X. Fang, Y. Zhang, and M. Xiao, “Simple and nondestructive on-chip detection of optical orbital angular momentum through a single plasmonic nanohole,” ACS Photonics 4(4), 996–1002 (2017).
[Crossref]

F. Marquier, C. Sauvan, and J.-J. Greffet, “Revisiting quantum optics with surface plasmons and plasmonic resonators,” ACS Photonics 4(9), 2091–2101 (2017).
[Crossref]

2016 (6)

R. Chikkaraddy, B. de Nijs, F. Benz, S. J. Barrow, O. A. Scherman, E. Rosta, A. Demetriadou, P. Fox, O. Hess, and J. J. Baumberg, “Single-molecule strong coupling at room temperature in plasmonic nanocavities,” Nature 535(7610), 127–130 (2016).
[Crossref] [PubMed]

K. Santhosh, O. Bitton, L. Chuntonov, and G. Haran, “Vacuum Rabi splitting in a plasmonic cavity at the single quantum emitter limit,” Nat. Commun. 7(1), 11823 (2016).
[Crossref] [PubMed]

M.-C. Dheur, E. Devaux, T. W. Ebbesen, A. Baron, J.-C. Rodier, J.-P. Hugonin, P. Lalanne, J.-J. Greffet, G. Messin, and F. Marquier, “Single-plasmon interferences,” Sci. Adv. 2(3), e1501574 (2016).
[Crossref] [PubMed]

S. M. Wang, Q. Q. Cheng, Y. X. Gong, P. Xu, C. Sun, L. Li, T. Li, and S. N. Zhu, “A 14 × 14 μm2 footprint polarization-encoded quantum controlled-NOT gate based on hybrid waveguide,” Nat. Commun. 7(1), 11490 (2016).
[Crossref] [PubMed]

C. Lee, F. Dieleman, J. Lee, C. Rockstuhl, S. A. Maier, and M. Tame, “Quantum plasmonic sensing: beyond the shot-noise and diffraction limit,” ACS Photonics 3(6), 992–999 (2016).
[Crossref]

M. W. Holtfrerich, M. Dowran, R. Davidson, B. J. Lawrie, R. C. Pooser, and A. M. Marino, “Toward quantum plasmonic networks,” Optica 3(9), 985–988 (2016).
[Crossref]

2015 (4)

J. S. Fakonas, A. Mitskovets, and H. A. Atwater, “Path entanglement of surface plasmons,” New J. Phys. 17(2), 023002 (2015).
[Crossref]

D. Wang, C. Xia, Q. Wang, Y. Wu, F. Liu, Y. Zhang, and M. Xiao, “Feedback-optimized extraordinary optical transmission of continuous-variable entangled states,” Phys. Rev. B Condens. Matter Mater. Phys. 91(12), 121406 (2015).
[Crossref]

W. Fan, B. J. Lawrie, and R. C. Pooser, “Quantum plasmonic sensing,” Phys. Rev. A 92(5), 053812 (2015).
[Crossref]

C. Kupchak, S. Rind, B. Jordaan, and E. Figueroa, “Quantum process tomography of an optically controlled kerr non-linearity,” Sci. Rep. 5(1), 16581 (2015).
[Crossref] [PubMed]

2014 (4)

J. S. Fakonas, H. Lee, Y. A. Kelaita, and H. A. Atwater, “Two-plasmon quantum interference,” Nat. Photonics 8(4), 317–320 (2014).
[Crossref]

G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, Ş. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of Quantum Interference in the Plasmonic Hong-Ou-Mandel Effect,” Phys. Rev. Appl. 1(3), 034004 (2014).
[Crossref]

G. Fujii, D. Fukuda, and S. Inoue, “Direct observation of bosonic quantum interference of surface plasmon polaritons using photon-number-resolving detectors,” Phys. Rev. B Condens. Matter Mater. Phys. 90(8), 085430 (2014).
[Crossref]

Y.-J. Cai, M. Li, X.-F. Ren, C.-L. Zou, X. Xiong, H.-L. Lei, B.-H. Liu, G.-P. Guo, and G.-C. Guo, “High-Visibility On-Chip Quantum Interference of Single Surface Plasmons,” Phys. Rev. Appl. 2(1), 014004 (2014).
[Crossref]

2013 (3)

M. S. Tame, K. R. McEnery, Ş. K. Özdemir, J. Lee, S. A. Maier, and M. S. Kim, “Quantum plasmonics,” Nat. Phys. 9(6), 329–340 (2013).
[Crossref]

B. J. Lawrie, P. G. Evans, and R. C. Pooser, “Extraordinary optical transmission of multimode quantum correlations via localized surface plasmons,” Phys. Rev. Lett. 110(15), 156802 (2013).
[Crossref] [PubMed]

R. W. Heeres, L. P. Kouwenhoven, and V. Zwiller, “Quantum interference in plasmonic circuits,” Nat. Nanotechnol. 8(10), 719–722 (2013).
[Crossref] [PubMed]

2012 (4)

P. Tassin, T. Koschny, M. Kafesaki, and C. M. Soukoulis, “A comparison of graphene, superconductors and metals as conductors for metamaterials and plasmonics,” Nat. Photonics 6(4), 259–264 (2012).
[Crossref]

G. Di Martino, Y. Sonnefraud, S. Kéna-Cohen, M. Tame, Ş. K. Özdemir, M. S. Kim, and S. A. Maier, “Quantum statistics of surface plasmon polaritons in metallic stripe waveguides,” Nano Lett. 12(5), 2504–2508 (2012).
[Crossref] [PubMed]

A. Anis and A. I. Lvovsky, “Maximum-likelihood coherent-state quantum process tomography,” New J. Phys. 14(10), 105021 (2012).
[Crossref]

F. van Beijnum, C. Rétif, C. B. Smiet, H. Liu, P. Lalanne, and M. P. van Exter, “Quasi-cylindrical wave contribution in experiments on extraordinary optical transmission,” Nature 492(7429), 411–414 (2012).
[Crossref] [PubMed]

2011 (2)

S. Rahimi-Keshari, A. Scherer, A. Mann, A. T. Rezakhani, A. I. Lvovsky, and B. C. Sanders, “Quantum process tomography with coherent states,” New J. Phys. 13(1), 013006 (2011).
[Crossref]

A. Huck, S. Kumar, A. Shakoor, and U. L. Andersen, “Controlled coupling of a single nitrogen-vacancy center to a silver nanowire,” Phys. Rev. Lett. 106(9), 096801 (2011).
[Crossref] [PubMed]

2010 (2)

R. W. Heeres, S. N. Dorenbos, B. Koene, G. S. Solomon, L. P. Kouwenhoven, and V. Zwiller, “On-chip single plasmon detection,” Nano Lett. 10(2), 661–664 (2010).
[Crossref] [PubMed]

J. A. Schuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, “Plasmonics for extreme light concentration and manipulation,” Nat. Mater. 9(3), 193–204 (2010).
[Crossref] [PubMed]

2009 (4)

A. L. Falk, F. H. L. Koppens, C. L. Yu, K. Kang, N. de Leon Snapp, A. V. Akimov, M.-H. Jo, M. D. Lukin, and H. Park, “Near-field electrical detection of optical plasmons and single-plasmon sources,” Nat. Phys. 5(7), 475–479 (2009).
[Crossref]

A. Huck, S. Smolka, P. Lodahl, A. S. Sørensen, A. Boltasseva, J. Janousek, and U. L. Andersen, “Demonstration of quadrature-squeezed surface plasmons in a gold waveguide,” Phys. Rev. Lett. 102(24), 246802 (2009).
[Crossref] [PubMed]

R. Kolesov, B. Grotz, G. Balasubramanian, R. J. Stöhr, A. A. L. Nicolet, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Wave–particle duality of single surface plasmon polaritons,” Nat. Phys. 5(7), 470–474 (2009).
[Crossref]

A. I. Lvovsky and M. G. Raymer, “Continuous-variable optical quantum-state tomography,” Rev. Mod. Phys. 81(1), 299–332 (2009).
[Crossref]

2008 (3)

Y.-J. Bao, R.-W. Peng, D.-J. Shu, M. Wang, X. Lu, J. Shao, W. Lu, and N.-B. Ming, “Role of Interference between localized and propagating surface waves on the extraordinary optical transmission through a subwavelength-aperture array,” Phys. Rev. Lett. 101(8), 087401 (2008).
[Crossref] [PubMed]

M. Lobino, D. Korystov, C. Kupchak, E. Figueroa, B. C. Sanders, and A. I. Lvovsky, “Complete characterization of quantum-optical processes,” Science 322(5901), 563–566 (2008).
[Crossref] [PubMed]

M. S. Tame, C. Lee, J. Lee, D. Ballester, M. Paternostro, A. V. Zayats, and M. S. Kim, “Single-photon excitation of surface plasmon polaritons,” Phys. Rev. Lett. 101(19), 190504 (2008).
[Crossref] [PubMed]

2007 (3)

A. V. Akimov, A. Mukherjee, C. L. Yu, D. E. Chang, A. S. Zibrov, P. R. Hemmer, H. Park, and M. D. Lukin, “Generation of single optical plasmons in metallic nanowires coupled to quantum dots,” Nature 450(7168), 402–406 (2007).
[Crossref] [PubMed]

F. J. García de Abajo, “Colloquium: Light scattering by particle and hole arrays,” Rev. Mod. Phys. 79(4), 1267–1290 (2007).
[Crossref]

C. Genet and T. W. Ebbesen, “Light in tiny holes,” Nature 445(7123), 39–46 (2007).
[Crossref] [PubMed]

2006 (3)

S. Fasel, M. Halder, N. Gisin, and H. Zbinden, “Quantum superposition and entanglement of mesoscopic plasmons,” New J. Phys. 8, 13 (2006).
[Crossref]

E. Ozbay, “Plasmonics: merging photonics and electronics at nanoscale dimensions,” Science 311(5758), 189–193 (2006).
[Crossref] [PubMed]

X. F. Ren, G. P. Guo, Y. F. Huang, C. F. Li, and G. C. Guo, “Plasmon-assisted transmission of high-dimensional orbital angular-momentum entangled state,” EPL 76(5), 753–759 (2006).
[Crossref]

2005 (1)

S. Fasel, F. Robin, E. Moreno, D. Erni, N. Gisin, and H. Zbinden, “Energy-time entanglement preservation in plasmon-assisted light transmission,” Phys. Rev. Lett. 94(11), 110501 (2005).
[Crossref] [PubMed]

2004 (1)

A. I. Lvovsky, “Iterative maximum-likelihood reconstruction in quantum homodyne tomography,” J. Opt. B Quantum Semiclassical Opt. 6(6), S556–S559 (2004).
[Crossref]

2003 (1)

M. Ježek, J. Fiurášek, and Z. Hradil, “Quantum inference of states and processes,” Phys. Rev. A 68(1), 012305 (2003).
[Crossref]

2002 (1)

E. Altewischer, M. P. van Exter, and J. P. Woerdman, “Plasmon-assisted transmission of entangled photons,” Nature 418(6895), 304–306 (2002).
[Crossref] [PubMed]

2001 (1)

J. Fiurášek and Z. Hradil, “Maximum-likelihood estimation of quantum processes,” Phys. Rev. A 63(2), 020101 (2001).
[Crossref]

1999 (1)

1998 (1)

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[Crossref]

1996 (1)

U. Leonhardt, M. Munroe, T. Kiss, T. Richter, and M. G. Raymer, “Sampling of photon statistics and density matrix using homodyne detection,” Opt. Commun. 127(1-3), 144–160 (1996).
[Crossref]

1994 (1)

G. M. D’Ariano, C. Macchiavello, and M. G. A. Paris, “Detection of the density matrix through optical homodyne tomography without filtered back projection,” Phys. Rev. A 50(5), 4298–4302 (1994).
[Crossref] [PubMed]

Akimov, A. V.

A. L. Falk, F. H. L. Koppens, C. L. Yu, K. Kang, N. de Leon Snapp, A. V. Akimov, M.-H. Jo, M. D. Lukin, and H. Park, “Near-field electrical detection of optical plasmons and single-plasmon sources,” Nat. Phys. 5(7), 475–479 (2009).
[Crossref]

A. V. Akimov, A. Mukherjee, C. L. Yu, D. E. Chang, A. S. Zibrov, P. R. Hemmer, H. Park, and M. D. Lukin, “Generation of single optical plasmons in metallic nanowires coupled to quantum dots,” Nature 450(7168), 402–406 (2007).
[Crossref] [PubMed]

Altewischer, E.

E. Altewischer, M. P. van Exter, and J. P. Woerdman, “Plasmon-assisted transmission of entangled photons,” Nature 418(6895), 304–306 (2002).
[Crossref] [PubMed]

Altuzarra, C.

C. Altuzarra, S. Vezzoli, J. Valente, W. Gao, C. Soci, D. Faccio, and C. Couteau, “Coherent perfect absorption in metamaterials with entangled photons,” ACS Photonics 4(9), 2124–2128 (2017).
[Crossref]

Andersen, U. L.

A. Huck, S. Kumar, A. Shakoor, and U. L. Andersen, “Controlled coupling of a single nitrogen-vacancy center to a silver nanowire,” Phys. Rev. Lett. 106(9), 096801 (2011).
[Crossref] [PubMed]

A. Huck, S. Smolka, P. Lodahl, A. S. Sørensen, A. Boltasseva, J. Janousek, and U. L. Andersen, “Demonstration of quadrature-squeezed surface plasmons in a gold waveguide,” Phys. Rev. Lett. 102(24), 246802 (2009).
[Crossref] [PubMed]

Anis, A.

A. Anis and A. I. Lvovsky, “Maximum-likelihood coherent-state quantum process tomography,” New J. Phys. 14(10), 105021 (2012).
[Crossref]

Atwater, H. A.

J. S. Fakonas, A. Mitskovets, and H. A. Atwater, “Path entanglement of surface plasmons,” New J. Phys. 17(2), 023002 (2015).
[Crossref]

J. S. Fakonas, H. Lee, Y. A. Kelaita, and H. A. Atwater, “Two-plasmon quantum interference,” Nat. Photonics 8(4), 317–320 (2014).
[Crossref]

Balasubramanian, G.

R. Kolesov, B. Grotz, G. Balasubramanian, R. J. Stöhr, A. A. L. Nicolet, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Wave–particle duality of single surface plasmon polaritons,” Nat. Phys. 5(7), 470–474 (2009).
[Crossref]

Ballester, D.

M. S. Tame, C. Lee, J. Lee, D. Ballester, M. Paternostro, A. V. Zayats, and M. S. Kim, “Single-photon excitation of surface plasmon polaritons,” Phys. Rev. Lett. 101(19), 190504 (2008).
[Crossref] [PubMed]

Bao, Y.-J.

Y.-J. Bao, R.-W. Peng, D.-J. Shu, M. Wang, X. Lu, J. Shao, W. Lu, and N.-B. Ming, “Role of Interference between localized and propagating surface waves on the extraordinary optical transmission through a subwavelength-aperture array,” Phys. Rev. Lett. 101(8), 087401 (2008).
[Crossref] [PubMed]

Barnard, E. S.

J. A. Schuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, “Plasmonics for extreme light concentration and manipulation,” Nat. Mater. 9(3), 193–204 (2010).
[Crossref] [PubMed]

Baron, A.

M.-C. Dheur, E. Devaux, T. W. Ebbesen, A. Baron, J.-C. Rodier, J.-P. Hugonin, P. Lalanne, J.-J. Greffet, G. Messin, and F. Marquier, “Single-plasmon interferences,” Sci. Adv. 2(3), e1501574 (2016).
[Crossref] [PubMed]

Barrow, S. J.

R. Chikkaraddy, B. de Nijs, F. Benz, S. J. Barrow, O. A. Scherman, E. Rosta, A. Demetriadou, P. Fox, O. Hess, and J. J. Baumberg, “Single-molecule strong coupling at room temperature in plasmonic nanocavities,” Nature 535(7610), 127–130 (2016).
[Crossref] [PubMed]

Baumberg, J. J.

R. Chikkaraddy, B. de Nijs, F. Benz, S. J. Barrow, O. A. Scherman, E. Rosta, A. Demetriadou, P. Fox, O. Hess, and J. J. Baumberg, “Single-molecule strong coupling at room temperature in plasmonic nanocavities,” Nature 535(7610), 127–130 (2016).
[Crossref] [PubMed]

Benz, F.

R. Chikkaraddy, B. de Nijs, F. Benz, S. J. Barrow, O. A. Scherman, E. Rosta, A. Demetriadou, P. Fox, O. Hess, and J. J. Baumberg, “Single-molecule strong coupling at room temperature in plasmonic nanocavities,” Nature 535(7610), 127–130 (2016).
[Crossref] [PubMed]

Bitton, O.

K. Santhosh, O. Bitton, L. Chuntonov, and G. Haran, “Vacuum Rabi splitting in a plasmonic cavity at the single quantum emitter limit,” Nat. Commun. 7(1), 11823 (2016).
[Crossref] [PubMed]

Boltasseva, A.

A. Huck, S. Smolka, P. Lodahl, A. S. Sørensen, A. Boltasseva, J. Janousek, and U. L. Andersen, “Demonstration of quadrature-squeezed surface plasmons in a gold waveguide,” Phys. Rev. Lett. 102(24), 246802 (2009).
[Crossref] [PubMed]

Bozhevolnyi, S. I.

A. I. Fernández-Domínguez, S. I. Bozhevolnyi, and N. A. Mortensen, “Plasmon-enhanced generation of nonclassical light,” ACS Photonics 5(9), 3447–3451 (2018).
[Crossref]

Brongersma, M. L.

J. A. Schuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, “Plasmonics for extreme light concentration and manipulation,” Nat. Mater. 9(3), 193–204 (2010).
[Crossref] [PubMed]

Cai, W.

J. A. Schuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, “Plasmonics for extreme light concentration and manipulation,” Nat. Mater. 9(3), 193–204 (2010).
[Crossref] [PubMed]

Cai, Y.-J.

Y.-J. Cai, M. Li, X.-F. Ren, C.-L. Zou, X. Xiong, H.-L. Lei, B.-H. Liu, G.-P. Guo, and G.-C. Guo, “High-Visibility On-Chip Quantum Interference of Single Surface Plasmons,” Phys. Rev. Appl. 2(1), 014004 (2014).
[Crossref]

Chang, D. E.

A. V. Akimov, A. Mukherjee, C. L. Yu, D. E. Chang, A. S. Zibrov, P. R. Hemmer, H. Park, and M. D. Lukin, “Generation of single optical plasmons in metallic nanowires coupled to quantum dots,” Nature 450(7168), 402–406 (2007).
[Crossref] [PubMed]

Cheng, Q. Q.

S. M. Wang, Q. Q. Cheng, Y. X. Gong, P. Xu, C. Sun, L. Li, T. Li, and S. N. Zhu, “A 14 × 14 μm2 footprint polarization-encoded quantum controlled-NOT gate based on hybrid waveguide,” Nat. Commun. 7(1), 11490 (2016).
[Crossref] [PubMed]

Chikkaraddy, R.

R. Chikkaraddy, B. de Nijs, F. Benz, S. J. Barrow, O. A. Scherman, E. Rosta, A. Demetriadou, P. Fox, O. Hess, and J. J. Baumberg, “Single-molecule strong coupling at room temperature in plasmonic nanocavities,” Nature 535(7610), 127–130 (2016).
[Crossref] [PubMed]

Chormaic, S. N.

S. G. Dlamini, J. T. Francis, X. Zhang, Ş. K. Özdemir, S. N. Chormaic, F. Petruccione, and M. S. Tame, “Probing Decoherence in Plasmonic Waveguides in the Quantum Regime,” Phys. Rev. Appl. 9(2), 024003 (2018).
[Crossref]

Chuntonov, L.

K. Santhosh, O. Bitton, L. Chuntonov, and G. Haran, “Vacuum Rabi splitting in a plasmonic cavity at the single quantum emitter limit,” Nat. Commun. 7(1), 11823 (2016).
[Crossref] [PubMed]

Couteau, C.

C. Altuzarra, S. Vezzoli, J. Valente, W. Gao, C. Soci, D. Faccio, and C. Couteau, “Coherent perfect absorption in metamaterials with entangled photons,” ACS Photonics 4(9), 2124–2128 (2017).
[Crossref]

D’Ariano, G. M.

G. M. D’Ariano, C. Macchiavello, and M. G. A. Paris, “Detection of the density matrix through optical homodyne tomography without filtered back projection,” Phys. Rev. A 50(5), 4298–4302 (1994).
[Crossref] [PubMed]

Davidson, R.

de Leon Snapp, N.

A. L. Falk, F. H. L. Koppens, C. L. Yu, K. Kang, N. de Leon Snapp, A. V. Akimov, M.-H. Jo, M. D. Lukin, and H. Park, “Near-field electrical detection of optical plasmons and single-plasmon sources,” Nat. Phys. 5(7), 475–479 (2009).
[Crossref]

de Nijs, B.

R. Chikkaraddy, B. de Nijs, F. Benz, S. J. Barrow, O. A. Scherman, E. Rosta, A. Demetriadou, P. Fox, O. Hess, and J. J. Baumberg, “Single-molecule strong coupling at room temperature in plasmonic nanocavities,” Nature 535(7610), 127–130 (2016).
[Crossref] [PubMed]

Demetriadou, A.

R. Chikkaraddy, B. de Nijs, F. Benz, S. J. Barrow, O. A. Scherman, E. Rosta, A. Demetriadou, P. Fox, O. Hess, and J. J. Baumberg, “Single-molecule strong coupling at room temperature in plasmonic nanocavities,” Nature 535(7610), 127–130 (2016).
[Crossref] [PubMed]

Devaux, E.

M.-C. Dheur, E. Devaux, T. W. Ebbesen, A. Baron, J.-C. Rodier, J.-P. Hugonin, P. Lalanne, J.-J. Greffet, G. Messin, and F. Marquier, “Single-plasmon interferences,” Sci. Adv. 2(3), e1501574 (2016).
[Crossref] [PubMed]

Dheur, M.-C.

M.-C. Dheur, E. Devaux, T. W. Ebbesen, A. Baron, J.-C. Rodier, J.-P. Hugonin, P. Lalanne, J.-J. Greffet, G. Messin, and F. Marquier, “Single-plasmon interferences,” Sci. Adv. 2(3), e1501574 (2016).
[Crossref] [PubMed]

Di Martino, G.

G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, Ş. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of Quantum Interference in the Plasmonic Hong-Ou-Mandel Effect,” Phys. Rev. Appl. 1(3), 034004 (2014).
[Crossref]

G. Di Martino, Y. Sonnefraud, S. Kéna-Cohen, M. Tame, Ş. K. Özdemir, M. S. Kim, and S. A. Maier, “Quantum statistics of surface plasmon polaritons in metallic stripe waveguides,” Nano Lett. 12(5), 2504–2508 (2012).
[Crossref] [PubMed]

Dieleman, F.

C. Lee, F. Dieleman, J. Lee, C. Rockstuhl, S. A. Maier, and M. Tame, “Quantum plasmonic sensing: beyond the shot-noise and diffraction limit,” ACS Photonics 3(6), 992–999 (2016).
[Crossref]

G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, Ş. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of Quantum Interference in the Plasmonic Hong-Ou-Mandel Effect,” Phys. Rev. Appl. 1(3), 034004 (2014).
[Crossref]

Dlamini, S. G.

S. G. Dlamini, J. T. Francis, X. Zhang, Ş. K. Özdemir, S. N. Chormaic, F. Petruccione, and M. S. Tame, “Probing Decoherence in Plasmonic Waveguides in the Quantum Regime,” Phys. Rev. Appl. 9(2), 024003 (2018).
[Crossref]

Dorenbos, S. N.

R. W. Heeres, S. N. Dorenbos, B. Koene, G. S. Solomon, L. P. Kouwenhoven, and V. Zwiller, “On-chip single plasmon detection,” Nano Lett. 10(2), 661–664 (2010).
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Dowran, M.

Ebbesen, T. W.

M.-C. Dheur, E. Devaux, T. W. Ebbesen, A. Baron, J.-C. Rodier, J.-P. Hugonin, P. Lalanne, J.-J. Greffet, G. Messin, and F. Marquier, “Single-plasmon interferences,” Sci. Adv. 2(3), e1501574 (2016).
[Crossref] [PubMed]

C. Genet and T. W. Ebbesen, “Light in tiny holes,” Nature 445(7123), 39–46 (2007).
[Crossref] [PubMed]

T. Thio, H. F. Ghaemi, H. J. Lezec, P. A. Wolff, and T. W. Ebbesen, “Surface-plasmon-enhanced transmission through hole arrays in Cr films,” J. Opt. Soc. Am. B 16(10), 1743–1748 (1999).
[Crossref]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[Crossref]

Erni, D.

S. Fasel, F. Robin, E. Moreno, D. Erni, N. Gisin, and H. Zbinden, “Energy-time entanglement preservation in plasmon-assisted light transmission,” Phys. Rev. Lett. 94(11), 110501 (2005).
[Crossref] [PubMed]

Evans, P. G.

B. J. Lawrie, P. G. Evans, and R. C. Pooser, “Extraordinary optical transmission of multimode quantum correlations via localized surface plasmons,” Phys. Rev. Lett. 110(15), 156802 (2013).
[Crossref] [PubMed]

Faccio, D.

C. Altuzarra, S. Vezzoli, J. Valente, W. Gao, C. Soci, D. Faccio, and C. Couteau, “Coherent perfect absorption in metamaterials with entangled photons,” ACS Photonics 4(9), 2124–2128 (2017).
[Crossref]

Fakonas, J. S.

J. S. Fakonas, A. Mitskovets, and H. A. Atwater, “Path entanglement of surface plasmons,” New J. Phys. 17(2), 023002 (2015).
[Crossref]

J. S. Fakonas, H. Lee, Y. A. Kelaita, and H. A. Atwater, “Two-plasmon quantum interference,” Nat. Photonics 8(4), 317–320 (2014).
[Crossref]

Falk, A. L.

A. L. Falk, F. H. L. Koppens, C. L. Yu, K. Kang, N. de Leon Snapp, A. V. Akimov, M.-H. Jo, M. D. Lukin, and H. Park, “Near-field electrical detection of optical plasmons and single-plasmon sources,” Nat. Phys. 5(7), 475–479 (2009).
[Crossref]

Fan, W.

W. Fan, B. J. Lawrie, and R. C. Pooser, “Quantum plasmonic sensing,” Phys. Rev. A 92(5), 053812 (2015).
[Crossref]

Fang, X.

D. Wei, Y. Wang, D. Liu, Y. Zhu, W. Zhong, X. Fang, Y. Zhang, and M. Xiao, “Simple and nondestructive on-chip detection of optical orbital angular momentum through a single plasmonic nanohole,” ACS Photonics 4(4), 996–1002 (2017).
[Crossref]

Y. Wang, X. Fang, Z. Kuang, H. Wang, D. Wei, Y. Liang, Q. Wang, T. Xu, Y. Zhang, and M. Xiao, “On-chip generation of broadband high-order Laguerre-Gaussian modes in a metasurface,” Opt. Lett. 42(13), 2463–2466 (2017).
[Crossref] [PubMed]

Fasel, S.

S. Fasel, M. Halder, N. Gisin, and H. Zbinden, “Quantum superposition and entanglement of mesoscopic plasmons,” New J. Phys. 8, 13 (2006).
[Crossref]

S. Fasel, F. Robin, E. Moreno, D. Erni, N. Gisin, and H. Zbinden, “Energy-time entanglement preservation in plasmon-assisted light transmission,” Phys. Rev. Lett. 94(11), 110501 (2005).
[Crossref] [PubMed]

Fernández-Domínguez, A. I.

A. I. Fernández-Domínguez, S. I. Bozhevolnyi, and N. A. Mortensen, “Plasmon-enhanced generation of nonclassical light,” ACS Photonics 5(9), 3447–3451 (2018).
[Crossref]

Figueroa, E.

C. Kupchak, S. Rind, B. Jordaan, and E. Figueroa, “Quantum process tomography of an optically controlled kerr non-linearity,” Sci. Rep. 5(1), 16581 (2015).
[Crossref] [PubMed]

M. Lobino, D. Korystov, C. Kupchak, E. Figueroa, B. C. Sanders, and A. I. Lvovsky, “Complete characterization of quantum-optical processes,” Science 322(5901), 563–566 (2008).
[Crossref] [PubMed]

Fiurášek, J.

M. Ježek, J. Fiurášek, and Z. Hradil, “Quantum inference of states and processes,” Phys. Rev. A 68(1), 012305 (2003).
[Crossref]

J. Fiurášek and Z. Hradil, “Maximum-likelihood estimation of quantum processes,” Phys. Rev. A 63(2), 020101 (2001).
[Crossref]

Fox, P.

R. Chikkaraddy, B. de Nijs, F. Benz, S. J. Barrow, O. A. Scherman, E. Rosta, A. Demetriadou, P. Fox, O. Hess, and J. J. Baumberg, “Single-molecule strong coupling at room temperature in plasmonic nanocavities,” Nature 535(7610), 127–130 (2016).
[Crossref] [PubMed]

Francis, J. T.

S. G. Dlamini, J. T. Francis, X. Zhang, Ş. K. Özdemir, S. N. Chormaic, F. Petruccione, and M. S. Tame, “Probing Decoherence in Plasmonic Waveguides in the Quantum Regime,” Phys. Rev. Appl. 9(2), 024003 (2018).
[Crossref]

Fujii, G.

G. Fujii, D. Fukuda, and S. Inoue, “Direct observation of bosonic quantum interference of surface plasmon polaritons using photon-number-resolving detectors,” Phys. Rev. B Condens. Matter Mater. Phys. 90(8), 085430 (2014).
[Crossref]

Fukuda, D.

G. Fujii, D. Fukuda, and S. Inoue, “Direct observation of bosonic quantum interference of surface plasmon polaritons using photon-number-resolving detectors,” Phys. Rev. B Condens. Matter Mater. Phys. 90(8), 085430 (2014).
[Crossref]

Gao, W.

C. Altuzarra, S. Vezzoli, J. Valente, W. Gao, C. Soci, D. Faccio, and C. Couteau, “Coherent perfect absorption in metamaterials with entangled photons,” ACS Photonics 4(9), 2124–2128 (2017).
[Crossref]

García de Abajo, F. J.

F. J. García de Abajo, “Colloquium: Light scattering by particle and hole arrays,” Rev. Mod. Phys. 79(4), 1267–1290 (2007).
[Crossref]

Genet, C.

C. Genet and T. W. Ebbesen, “Light in tiny holes,” Nature 445(7123), 39–46 (2007).
[Crossref] [PubMed]

Ghaemi, H. F.

T. Thio, H. F. Ghaemi, H. J. Lezec, P. A. Wolff, and T. W. Ebbesen, “Surface-plasmon-enhanced transmission through hole arrays in Cr films,” J. Opt. Soc. Am. B 16(10), 1743–1748 (1999).
[Crossref]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[Crossref]

Gisin, N.

S. Fasel, M. Halder, N. Gisin, and H. Zbinden, “Quantum superposition and entanglement of mesoscopic plasmons,” New J. Phys. 8, 13 (2006).
[Crossref]

S. Fasel, F. Robin, E. Moreno, D. Erni, N. Gisin, and H. Zbinden, “Energy-time entanglement preservation in plasmon-assisted light transmission,” Phys. Rev. Lett. 94(11), 110501 (2005).
[Crossref] [PubMed]

Gong, Y. X.

S. M. Wang, Q. Q. Cheng, Y. X. Gong, P. Xu, C. Sun, L. Li, T. Li, and S. N. Zhu, “A 14 × 14 μm2 footprint polarization-encoded quantum controlled-NOT gate based on hybrid waveguide,” Nat. Commun. 7(1), 11490 (2016).
[Crossref] [PubMed]

Greffet, J.-J.

F. Marquier, C. Sauvan, and J.-J. Greffet, “Revisiting quantum optics with surface plasmons and plasmonic resonators,” ACS Photonics 4(9), 2091–2101 (2017).
[Crossref]

M.-C. Dheur, E. Devaux, T. W. Ebbesen, A. Baron, J.-C. Rodier, J.-P. Hugonin, P. Lalanne, J.-J. Greffet, G. Messin, and F. Marquier, “Single-plasmon interferences,” Sci. Adv. 2(3), e1501574 (2016).
[Crossref] [PubMed]

Grotz, B.

R. Kolesov, B. Grotz, G. Balasubramanian, R. J. Stöhr, A. A. L. Nicolet, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Wave–particle duality of single surface plasmon polaritons,” Nat. Phys. 5(7), 470–474 (2009).
[Crossref]

Guo, G. C.

X. F. Ren, G. P. Guo, Y. F. Huang, C. F. Li, and G. C. Guo, “Plasmon-assisted transmission of high-dimensional orbital angular-momentum entangled state,” EPL 76(5), 753–759 (2006).
[Crossref]

Guo, G. P.

X. F. Ren, G. P. Guo, Y. F. Huang, C. F. Li, and G. C. Guo, “Plasmon-assisted transmission of high-dimensional orbital angular-momentum entangled state,” EPL 76(5), 753–759 (2006).
[Crossref]

Guo, G.-C.

Y.-J. Cai, M. Li, X.-F. Ren, C.-L. Zou, X. Xiong, H.-L. Lei, B.-H. Liu, G.-P. Guo, and G.-C. Guo, “High-Visibility On-Chip Quantum Interference of Single Surface Plasmons,” Phys. Rev. Appl. 2(1), 014004 (2014).
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Wang, M.

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Y. Wang, X. Fang, Z. Kuang, H. Wang, D. Wei, Y. Liang, Q. Wang, T. Xu, Y. Zhang, and M. Xiao, “On-chip generation of broadband high-order Laguerre-Gaussian modes in a metasurface,” Opt. Lett. 42(13), 2463–2466 (2017).
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J. A. Schuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, “Plasmonics for extreme light concentration and manipulation,” Nat. Mater. 9(3), 193–204 (2010).
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E. Altewischer, M. P. van Exter, and J. P. Woerdman, “Plasmon-assisted transmission of entangled photons,” Nature 418(6895), 304–306 (2002).
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T. Thio, H. F. Ghaemi, H. J. Lezec, P. A. Wolff, and T. W. Ebbesen, “Surface-plasmon-enhanced transmission through hole arrays in Cr films,” J. Opt. Soc. Am. B 16(10), 1743–1748 (1999).
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[Crossref]

Wrachtrup, J.

R. Kolesov, B. Grotz, G. Balasubramanian, R. J. Stöhr, A. A. L. Nicolet, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Wave–particle duality of single surface plasmon polaritons,” Nat. Phys. 5(7), 470–474 (2009).
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Wu, Y.

D. Wang, C. Xia, Q. Wang, Y. Wu, F. Liu, Y. Zhang, and M. Xiao, “Feedback-optimized extraordinary optical transmission of continuous-variable entangled states,” Phys. Rev. B Condens. Matter Mater. Phys. 91(12), 121406 (2015).
[Crossref]

Xia, C.

D. Wang, C. Xia, Q. Wang, Y. Wu, F. Liu, Y. Zhang, and M. Xiao, “Feedback-optimized extraordinary optical transmission of continuous-variable entangled states,” Phys. Rev. B Condens. Matter Mater. Phys. 91(12), 121406 (2015).
[Crossref]

Xiao, M.

Y. Zhu, D. Wei, Z. Kuang, Q. Wang, Y. Wang, X. Huang, Y. Zhang, and M. Xiao, “Broadband variable meta-axicons based on nano-aperture arrays in a metallic film,” Sci. Rep. 8(1), 11591 (2018).
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D. Wei, Y. Wang, D. Liu, Y. Zhu, W. Zhong, X. Fang, Y. Zhang, and M. Xiao, “Simple and nondestructive on-chip detection of optical orbital angular momentum through a single plasmonic nanohole,” ACS Photonics 4(4), 996–1002 (2017).
[Crossref]

Y. Wang, X. Fang, Z. Kuang, H. Wang, D. Wei, Y. Liang, Q. Wang, T. Xu, Y. Zhang, and M. Xiao, “On-chip generation of broadband high-order Laguerre-Gaussian modes in a metasurface,” Opt. Lett. 42(13), 2463–2466 (2017).
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D. Wang, C. Xia, Q. Wang, Y. Wu, F. Liu, Y. Zhang, and M. Xiao, “Feedback-optimized extraordinary optical transmission of continuous-variable entangled states,” Phys. Rev. B Condens. Matter Mater. Phys. 91(12), 121406 (2015).
[Crossref]

Xiong, X.

Y.-J. Cai, M. Li, X.-F. Ren, C.-L. Zou, X. Xiong, H.-L. Lei, B.-H. Liu, G.-P. Guo, and G.-C. Guo, “High-Visibility On-Chip Quantum Interference of Single Surface Plasmons,” Phys. Rev. Appl. 2(1), 014004 (2014).
[Crossref]

Xu, P.

S. M. Wang, Q. Q. Cheng, Y. X. Gong, P. Xu, C. Sun, L. Li, T. Li, and S. N. Zhu, “A 14 × 14 μm2 footprint polarization-encoded quantum controlled-NOT gate based on hybrid waveguide,” Nat. Commun. 7(1), 11490 (2016).
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Xu, T.

Yoon, S.-J.

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A. V. Akimov, A. Mukherjee, C. L. Yu, D. E. Chang, A. S. Zibrov, P. R. Hemmer, H. Park, and M. D. Lukin, “Generation of single optical plasmons in metallic nanowires coupled to quantum dots,” Nature 450(7168), 402–406 (2007).
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M. S. Tame, C. Lee, J. Lee, D. Ballester, M. Paternostro, A. V. Zayats, and M. S. Kim, “Single-photon excitation of surface plasmon polaritons,” Phys. Rev. Lett. 101(19), 190504 (2008).
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S. Fasel, M. Halder, N. Gisin, and H. Zbinden, “Quantum superposition and entanglement of mesoscopic plasmons,” New J. Phys. 8, 13 (2006).
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S. Fasel, F. Robin, E. Moreno, D. Erni, N. Gisin, and H. Zbinden, “Energy-time entanglement preservation in plasmon-assisted light transmission,” Phys. Rev. Lett. 94(11), 110501 (2005).
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Zhang, X.

S. G. Dlamini, J. T. Francis, X. Zhang, Ş. K. Özdemir, S. N. Chormaic, F. Petruccione, and M. S. Tame, “Probing Decoherence in Plasmonic Waveguides in the Quantum Regime,” Phys. Rev. Appl. 9(2), 024003 (2018).
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Zhang, Y.

Y. Zhu, D. Wei, Z. Kuang, Q. Wang, Y. Wang, X. Huang, Y. Zhang, and M. Xiao, “Broadband variable meta-axicons based on nano-aperture arrays in a metallic film,” Sci. Rep. 8(1), 11591 (2018).
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D. Wei, Y. Wang, D. Liu, Y. Zhu, W. Zhong, X. Fang, Y. Zhang, and M. Xiao, “Simple and nondestructive on-chip detection of optical orbital angular momentum through a single plasmonic nanohole,” ACS Photonics 4(4), 996–1002 (2017).
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Y. Wang, X. Fang, Z. Kuang, H. Wang, D. Wei, Y. Liang, Q. Wang, T. Xu, Y. Zhang, and M. Xiao, “On-chip generation of broadband high-order Laguerre-Gaussian modes in a metasurface,” Opt. Lett. 42(13), 2463–2466 (2017).
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D. Wang, C. Xia, Q. Wang, Y. Wu, F. Liu, Y. Zhang, and M. Xiao, “Feedback-optimized extraordinary optical transmission of continuous-variable entangled states,” Phys. Rev. B Condens. Matter Mater. Phys. 91(12), 121406 (2015).
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Zhong, W.

D. Wei, Y. Wang, D. Liu, Y. Zhu, W. Zhong, X. Fang, Y. Zhang, and M. Xiao, “Simple and nondestructive on-chip detection of optical orbital angular momentum through a single plasmonic nanohole,” ACS Photonics 4(4), 996–1002 (2017).
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Zhu, S. N.

S. M. Wang, Q. Q. Cheng, Y. X. Gong, P. Xu, C. Sun, L. Li, T. Li, and S. N. Zhu, “A 14 × 14 μm2 footprint polarization-encoded quantum controlled-NOT gate based on hybrid waveguide,” Nat. Commun. 7(1), 11490 (2016).
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Zhu, Y.

Y. Zhu, D. Wei, Z. Kuang, Q. Wang, Y. Wang, X. Huang, Y. Zhang, and M. Xiao, “Broadband variable meta-axicons based on nano-aperture arrays in a metallic film,” Sci. Rep. 8(1), 11591 (2018).
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D. Wei, Y. Wang, D. Liu, Y. Zhu, W. Zhong, X. Fang, Y. Zhang, and M. Xiao, “Simple and nondestructive on-chip detection of optical orbital angular momentum through a single plasmonic nanohole,” ACS Photonics 4(4), 996–1002 (2017).
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A. V. Akimov, A. Mukherjee, C. L. Yu, D. E. Chang, A. S. Zibrov, P. R. Hemmer, H. Park, and M. D. Lukin, “Generation of single optical plasmons in metallic nanowires coupled to quantum dots,” Nature 450(7168), 402–406 (2007).
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Y.-J. Cai, M. Li, X.-F. Ren, C.-L. Zou, X. Xiong, H.-L. Lei, B.-H. Liu, G.-P. Guo, and G.-C. Guo, “High-Visibility On-Chip Quantum Interference of Single Surface Plasmons,” Phys. Rev. Appl. 2(1), 014004 (2014).
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ACS Photonics (5)

D. Wei, Y. Wang, D. Liu, Y. Zhu, W. Zhong, X. Fang, Y. Zhang, and M. Xiao, “Simple and nondestructive on-chip detection of optical orbital angular momentum through a single plasmonic nanohole,” ACS Photonics 4(4), 996–1002 (2017).
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F. Marquier, C. Sauvan, and J.-J. Greffet, “Revisiting quantum optics with surface plasmons and plasmonic resonators,” ACS Photonics 4(9), 2091–2101 (2017).
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A. I. Fernández-Domínguez, S. I. Bozhevolnyi, and N. A. Mortensen, “Plasmon-enhanced generation of nonclassical light,” ACS Photonics 5(9), 3447–3451 (2018).
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C. Altuzarra, S. Vezzoli, J. Valente, W. Gao, C. Soci, D. Faccio, and C. Couteau, “Coherent perfect absorption in metamaterials with entangled photons,” ACS Photonics 4(9), 2124–2128 (2017).
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C. Lee, F. Dieleman, J. Lee, C. Rockstuhl, S. A. Maier, and M. Tame, “Quantum plasmonic sensing: beyond the shot-noise and diffraction limit,” ACS Photonics 3(6), 992–999 (2016).
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X. F. Ren, G. P. Guo, Y. F. Huang, C. F. Li, and G. C. Guo, “Plasmon-assisted transmission of high-dimensional orbital angular-momentum entangled state,” EPL 76(5), 753–759 (2006).
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G. Di Martino, Y. Sonnefraud, S. Kéna-Cohen, M. Tame, Ş. K. Özdemir, M. S. Kim, and S. A. Maier, “Quantum statistics of surface plasmon polaritons in metallic stripe waveguides,” Nano Lett. 12(5), 2504–2508 (2012).
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R. W. Heeres, S. N. Dorenbos, B. Koene, G. S. Solomon, L. P. Kouwenhoven, and V. Zwiller, “On-chip single plasmon detection,” Nano Lett. 10(2), 661–664 (2010).
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Nat. Commun. (2)

S. M. Wang, Q. Q. Cheng, Y. X. Gong, P. Xu, C. Sun, L. Li, T. Li, and S. N. Zhu, “A 14 × 14 μm2 footprint polarization-encoded quantum controlled-NOT gate based on hybrid waveguide,” Nat. Commun. 7(1), 11490 (2016).
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Nat. Mater. (1)

J. A. Schuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, “Plasmonics for extreme light concentration and manipulation,” Nat. Mater. 9(3), 193–204 (2010).
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R. W. Heeres, L. P. Kouwenhoven, and V. Zwiller, “Quantum interference in plasmonic circuits,” Nat. Nanotechnol. 8(10), 719–722 (2013).
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Nat. Photonics (2)

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P. Tassin, T. Koschny, M. Kafesaki, and C. M. Soukoulis, “A comparison of graphene, superconductors and metals as conductors for metamaterials and plasmonics,” Nat. Photonics 6(4), 259–264 (2012).
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R. Kolesov, B. Grotz, G. Balasubramanian, R. J. Stöhr, A. A. L. Nicolet, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Wave–particle duality of single surface plasmon polaritons,” Nat. Phys. 5(7), 470–474 (2009).
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A. L. Falk, F. H. L. Koppens, C. L. Yu, K. Kang, N. de Leon Snapp, A. V. Akimov, M.-H. Jo, M. D. Lukin, and H. Park, “Near-field electrical detection of optical plasmons and single-plasmon sources,” Nat. Phys. 5(7), 475–479 (2009).
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S. Fasel, M. Halder, N. Gisin, and H. Zbinden, “Quantum superposition and entanglement of mesoscopic plasmons,” New J. Phys. 8, 13 (2006).
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A. Anis and A. I. Lvovsky, “Maximum-likelihood coherent-state quantum process tomography,” New J. Phys. 14(10), 105021 (2012).
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J. S. Fakonas, A. Mitskovets, and H. A. Atwater, “Path entanglement of surface plasmons,” New J. Phys. 17(2), 023002 (2015).
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J.-S. Lee, T. Huynh, S.-Y. Lee, K.-G. Lee, J. Lee, M. Tame, C. Rockstuhl, and C. Lee, “Quantum noise reduction in intensity-sensitive surface-plasmon-resonance sensors,” Phys. Rev. A (Coll. Park) 96(3), 033833 (2017).
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Phys. Rev. Appl. (3)

Y.-J. Cai, M. Li, X.-F. Ren, C.-L. Zou, X. Xiong, H.-L. Lei, B.-H. Liu, G.-P. Guo, and G.-C. Guo, “High-Visibility On-Chip Quantum Interference of Single Surface Plasmons,” Phys. Rev. Appl. 2(1), 014004 (2014).
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S. G. Dlamini, J. T. Francis, X. Zhang, Ş. K. Özdemir, S. N. Chormaic, F. Petruccione, and M. S. Tame, “Probing Decoherence in Plasmonic Waveguides in the Quantum Regime,” Phys. Rev. Appl. 9(2), 024003 (2018).
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G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, Ş. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of Quantum Interference in the Plasmonic Hong-Ou-Mandel Effect,” Phys. Rev. Appl. 1(3), 034004 (2014).
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D. Wang, C. Xia, Q. Wang, Y. Wu, F. Liu, Y. Zhang, and M. Xiao, “Feedback-optimized extraordinary optical transmission of continuous-variable entangled states,” Phys. Rev. B Condens. Matter Mater. Phys. 91(12), 121406 (2015).
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S. Fasel, F. Robin, E. Moreno, D. Erni, N. Gisin, and H. Zbinden, “Energy-time entanglement preservation in plasmon-assisted light transmission,” Phys. Rev. Lett. 94(11), 110501 (2005).
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Y. Zhu, D. Wei, Z. Kuang, Q. Wang, Y. Wang, X. Huang, Y. Zhang, and M. Xiao, “Broadband variable meta-axicons based on nano-aperture arrays in a metallic film,” Sci. Rep. 8(1), 11591 (2018).
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Figures (3)

Fig. 1
Fig. 1 Transmission spectrum of gold plasmon sample and Experimental setup. (a) The blue slope is EOT transmissivity slope and the red dot is theory transmissivity slope (FDTD simulation). Their characteristic peaks are both at 1080 n m . Inset: The electron microscope photo of our metal-hole arrays fragment. Its full size is 65 μ m × 65 μ m . Period is 759 n m . Hole diameter is 460 n m . (b) A coherent infrared light at 1080 n m is amplitude modulated with an electrooptical modulator and passes through a calibrated neutral density filter to prepare the probe states that incident on the plasmonic sample. The output state is measured with a homodyne detector. The relative phases between the probe states and local oscillator of the homodyne detector are set with a piezoelectric transducer. EOM is amplitude electrooptical modulator. ND is neutral attenuation piece. BS is beam splitter. PZT is piezoelectric transducer. OSC is high frequency signal generator. LPF is low frequency filter.
Fig. 2
Fig. 2 Wigner function of input and output light. (a/c/e) The Wigner functions of input fields W ( X , Y ) i n p u t with 2 V , 6 V , and 8 V modulation voltage of the EOM, respectively. (b/d/f) The Wigner functions of output fields W ( X , Y ) o u t p u t with 2 V , 6 V , and 8 V modulation voltage of the EOM, respectively. α i n corresponds to the input state and α o u t corresponds to the output state.
Fig. 3
Fig. 3 The results of CSQPT. (a)The diagonal elements of the process tensor ε k k m m with input field index m and output field index k for an EOT process. (b)Numerical results of a linear loss process with transmissivity of 62.0 % . (c/d/e) The off-diagonal elements of the process tensor (c) Im { ln [ ε 01 m n ] } , (d) Im { ln [ ε 02 m n ] } , (e) Im { ln [ ε 03 m n ] } , where m and n represent the input field index in the Fock basis.

Equations (14)

Equations on this page are rendered with MathJax. Learn more.

ρ ^ i n = i a i ρ ^ i .
ρ ^ o u t = i a i ε ( ρ ^ i ) .
ρ k l o u t = m n ε k l m n ρ m n i n ,
ρ ^ i n = 2 P i n ( α ) | α α | d 2 α ,
ρ ^ o u t = 2 P i n ( α ) ε ( | α α | ) d 2 α .
ε k l m n = 2 P m n ( α ) k | ε ( | α α | ) | l d 2 α ,
p r θ ( x ) = T r [ Π ^ ( θ , x ) ρ ^ ] ,
ln L = ln p r θ i ( x i ) .
R ^ ( ρ ^ ) = i Π ^ ( θ i , x i ) p r θ i ( x i ) ,
ρ ^ ( k + 1 ) = N [ R ^ ( ρ ^ ( k ) ) ρ ^ ( k ) R ^ ( ρ ^ ( k ) ) ] ,
W ( X , Y ) = 1 2 π + X + 1 2 X | ρ ^ i n | X 1 2 X exp ( i X Y ) d X ,
ρ ^ o u t = ε ( ρ ^ i n ) = U ^ ( ϕ ) ε ( ρ ^ i n ) U ^ ( ϕ ) = e i ϕ a ^ a ε ( ρ ^ i n ) e i ϕ a ^ a ,
Im { ln [ ε k l m n ] } = φ k l m n + ( k l ) ϕ ,
a ^ o u t = 1 η a ^ b a t h + e i ϕ η a ^ i n ,

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