• Photonics Research
  • Vol. 8, Issue 7, 1161 (2020)
Konrad Tschernig1、*, Roberto de J. León-Montiel2, Armando Pérez-Leija1, and Kurt Busch1、3
Author Affiliations
  • 1Max-Born-Institut, 12489 Berlin, Germany
  • 2Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, 04510 Cd. Mexico City, Mexico
  • 3Humboldt-Universität zu Berlin, Institut für Physik, AG Theoretische Optik & Photonik, 12489 Berlin, Germany
  • show less
    DOI: 10.1364/PRJ.382831 Cite this Article Set citation alerts
    Konrad Tschernig, Roberto de J. León-Montiel, Armando Pérez-Leija, Kurt Busch. Multiphoton synthetic lattices in multiport waveguide arrays: synthetic atoms and Fock graphs[J]. Photonics Research, 2020, 8(7): 1161 Copy Citation Text show less
    References

    [1] D. Jukić, H. Buljan. Four-dimensional photonic lattices and discrete tesseract solitons. Phys. Rev. A, 87, 013814(2013).

    [2] L. Yuan, Y. Shi, S. Fan. Photonic gauge potential in a system with a synthetic frequency dimension. Opt. Lett., 41, 741-744(2016).

    [3] T. Bilitewski, N. R. Cooper. Synthetic dimensions in the strong-coupling limit: supersolids and pair superfluids. Phys. Rev. A, 94, 023630(2016).

    [4] T. Ozawa, H. M. Price, N. Goldman, O. Zilberberg, I. Carusotto. Synthetic dimensions in integrated photonics: from optical isolation to four-dimensional quantum hall physics. Phys. Rev. A, 93, 043827(2016).

    [5] S. Fan. Photonic gauge potential and synthetic dimension with integrated photonics platforms. Conference on Lasers and Electro-Optics, SM3O.1(2017).

    [6] L. Yuan, Q. Lin, M. Xiao, S. Fan. Synthetic dimension in photonics. Optica, 5, 1396-1405(2018).

    [7] W. H. Louisell. Quantum Statistical Properties of Radiation(1973).

    [8] H. M. Price, T. Ozawa, N. Goldman. Synthetic dimensions for cold atoms from shaking a harmonic trap. Phys. Rev. A, 95, 023607(2017).

    [9] A. Perez-Leija, H. Moya-Cessa, A. Szameit, D. N. Christodoulides. Glauber-Fock photonic lattices. Opt. Lett., 35, 2409-2411(2010).

    [10] R. Keil, A. Perez-Leija, F. Dreisow, M. Heinrich, H. Moya-Cessa, S. Nolte, D. N. Christodoulides, A. Szameit. Classical analogue of displaced Fock states and quantum correlations in Glauber-Fock photonic lattices. Phys. Rev. Lett., 107, 103601(2011).

    [11] A. Perez-Leija, R. Keil, A. Szameit, A. F. Abouraddy, H. Moya-Cessa, D. N. Christodoulides. Tailoring the correlation and anticorrelation behavior of path-entangled photons in Glauber-Fock oscillator lattices. Phys. Rev. A, 85, 013848(2012).

    [12] R. Keil, A. Perez-Leija, P. Aleahmad, H. Moya-Cessa, S. Nolte, D. N. Christodoulides, A. Szameit. Observation of Bloch-like revivals in semi-infinite Glauber-Fock photonic lattices. Opt. Lett., 37, 3801-3803(2012).

    [13] M. K. Nezhad, A. R. Bahrampour, M. Golshani, S. M. Mahdavi, A. Langari. Phase transition to spatial Bloch-like oscillation in squeezed photonic lattices. Phys. Rev. A, 88, 023801(2013).

    [14] K. Wang, S. Weimann, S. Nolte, A. Perez-Leija, A. Szameit. Measuring the Aharonov-Anandan phase in multiport photonic systems. Opt. Lett., 41, 1889-1892(2016).

    [15] E. Lustig, S. Weimann, Y. Plotnik, Y. Lumer, M. A. Bandres, A. Szameit, M. Segev. Photonic topological insulator in synthetic dimensions. Nature, 567, 356-360(2019).

    [16] T. Ozawa, H. M. Price. Topological quantum matter in synthetic dimensions. Nat. Rev. Phys., 1, 349-357(2019).

    [17] H. M. Price, T. Ozawa, N. Goldman. Synthetic dimensions for cold atoms from shaking a harmonic trap. Phys. Rev. A, 95, 023607(2017).

    [18] D.-W. Wang, R.-B. Liu, S.-Y. Zhu, M. O. Scully. Superradiance lattice. Phys. Rev. Lett., 114, 043602(2015).

    [19] D.-W. Wang, H. Cai, R.-B. Liu, M. O. Scully. Mesoscopic superposition states generated by synthetic spin-orbit interaction in Fock-state lattices. Phys. Rev. Lett., 116, 220502(2016).

    [20] H. Cai, J. Liu, J. Wu, Y. He, S.-Y. Zhu, J.-X. Zhang, D.-W. Wang. Experimental observation of momentum-space chiral edge currents in room-temperature atoms. Phys. Rev. Lett., 122, 023601(2019).

    [21] A. Regensburger, C. Bersch, M. Mohammad-Ali, G. Onishchukov, D. N. Christodoulides, U. Peschel. Parity-time synthetic photonic lattices. Nature, 488, 167-171(2012).

    [22] A. Regensburger, C. Bersch, B. Hinrichs, G. Onishchukov, A. Schreiber, C. Silberhorn, U. Peschel. Photon propagation in a discrete fiber network: an interplay of coherence and losses. Phys. Rev. Lett., 107, 233902(2011).

    [23] S. Longhi. Quantum-optical analogies using photonic structures. Laser Photon. Rev., 3, 243-261(2009).

    [24] A. Szameit, S. Nolte. Discrete optics in femtosecond-laser-written photonic structures. J. Phys. B, 43, 163001(2010).

    [25] P. Chak, R. Iyer, J. S. Aitchison, J. E. Sipe. Hamiltonian formulation of coupled-mode theory in waveguiding structures. Phys. Rev. E, 75, 016608(2007).

    [26] W. K. Lai, V. Buek, P. L. Knight. Nonclassical fields in a linear directional coupler. Phys. Rev. A, 43, 6323-6336(1991).

    [27] Y. Bromberg, Y. Lahini, R. Morandotti, Y. Silberberg. Quantum and classical correlations in waveguide lattices. Phys. Rev. Lett., 102, 253904(2009).

    [28] M. Gräfe, R. Heilmann, M. Lebugle, D. Guzman-Silva, A. Perez-Leija, A. Szameit. Integrated photonic quantum walks. J. Opt., 18, 103002(2016).

    [29] T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, A. Szameit. Laser written circuits for quantum photonics. Laser Photon. Rev., 9, 363-384(2016).

    [30] K. Tschernig, R. de J. León-Montiel, O. S. Magana-Loaiza, A. Szameit, K. Busch, A. Perez-Leija. Multiphoton discrete fractional Fourier dynamics in waveguide beam splitters. J. Opt. Soc. Am. B, 35, 1985-1989(2018).

    [31] M. A. Quiroz-Juarez, A. Perez-Leija, K. Tschernig, B. M. Rodriguez-Lara, O. S. Magana-Loaiza, K. Busch, Y. N. Joglekar, R. de J. Leon-Montiel. Exceptional points of any order in a single, lossy waveguide beam splitter by photon-number-resolved detection. Photon. Res., 7, 862-867(2019).

    [32] R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, Y. Silberberg. Experimental observation of linear and nonlinear optical Bloch oscillations. Phys. Rev. Lett., 83, 4756-4759(1999).

    [33] M. Lebugle, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Nolte, A. Szameit. Experimental observation of N00N state Bloch oscillations. Nat. Commun., 6, 8273(2015).

    [34] C. K. Hong, Z. Y. Ou, L. Mandel. Measurement of subpicosecond time intervals between two photons by interference. Phys. Rev. Lett., 59, 2044-2046(1987).

    [35] P. J. Shadbolt, M. R. Verde, A. Peruzzo, A. Politi, A. Laing, M. Lobino, J. C. F. Matthews, M. G. Thompson, J. L. O’Brien. Generating, manipulating and measuring entanglement and mixture with a reconfigurable photonic circuit. Nat. Photonics, 6, 45-49(2012).

    [36] P. Lambropoulos, D. Petrosyan. Fundamentals of Quantum Optics and Quantum Information, 23(2007).

    [37] K. Bergmann, H.-C. Nägerl, C. Panda, G. Gabrielse, E. Miloglyadov, M. Quack, G. Seyfang, G. Wichmann, S. Ospelkaus, A. Kuhn, S. Longhi, A. Szameit, P. Pirro, B. Hillebrands, X.-F. Zhu, J. Zhu, M. Drewsen, W. K. Hensinger, S. Weidt, T. Halfmann, H.-L. Wang, G. S. Paraoanu, N. V. Vitanov, J. Mompart, T. Busch, T. J. Barnum, D. D. Grimes, R. W. Field, M. G. Raizen, E. Narevicius, M. Auzinsh, D. Budker, A. Pálffy, C. H. Keitel. Roadmap on STIRAP applications. J. Phys. B, 52, 202001(2019).

    [38] F. J. Furch, W. D. Engel, T. Witting, A. Perez-Leija, M. J. J. Vrakking, A. Mermillod-Blondin. Single-step fabrication of surface waveguides in fused silica with few-cycle laser pulses. Opt. Lett., 44, 4267-4270(2019).

    [39] O. S. Magana-Loaiza, R. de J. Leon-Montiel, A. Perez-Leija, A. B. URen, C. You, K. Busch, A. E. Lita, S. W. Nam, R. P. Mirin, T. Gerrits. Multiphoton quantum-state engineering using conditional measurements. npj Quantum Inf., 5, 80(2019).

    [40] G. Harder, T. J. Bartley, A. E. Lita, S. W. Nam, T. Gerrits, C. Silberhorn. Single-mode parametric-down-conversion states with 50 photons as a source for mesoscopic quantum optics. Phys. Rev. Lett., 116, 143601(2016).

    [41] K. Irwin, G. Hilton. Transition-Edge Sensors, 63-150(2005).

    [42] S. Weimann, A. Perez-Leija, M. Lebugle, R. Keil, M. Tichy, M. Gräfe, R. Heilmann, S. Nolte, H. Moya-Cessa, G. Weihs, D. N. Christodoulides, A. Szameit. Implementation of quantum and classical discrete fractional Fourier transforms. Nat. Commun., 7, 11027(2016).

    [43] D. Gill, E. Tadmor. An O(N2) method for computing the eigensystem of N × N symmetric tridiagonal matrices by the divide and conquer approach. SIAM J. Sci. Comput., 11, 161-173(1990).

    CLP Journals

    [1] Luqi Yuan, Avik Dutt, Mingpu Qin, Shanhui Fan, Xianfeng Chen. Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons[J]. Photonics Research, 2020, 8(9): B8

    Konrad Tschernig, Roberto de J. León-Montiel, Armando Pérez-Leija, Kurt Busch. Multiphoton synthetic lattices in multiport waveguide arrays: synthetic atoms and Fock graphs[J]. Photonics Research, 2020, 8(7): 1161
    Download Citation