Modeling nonlinear optics in lossy integrated photonic structures: two strategies

We present two complementary strategies for modeling nonlinear quantum optics in realistic integrated optical devices, where scattering loss is present. In the first strategy, we model scattering loss as an attenuation; in the second, we employ a Hamiltonian treatment that includes a mechanism for scattering loss, such as a ‘phantom waveguide.’ These strategies can be applied to a broad range of structures and processes. As an example, we use these two approaches to model spontaneous four-wave mixing in (i) a ring-channel system and (ii) an add-drop system. We present the rates of photon pairs, broken pairs, and lost pairs for both systems, the latter two only accessible via the second stategy. We identify a full biphoton wavefunction (BWF) including the effects of scattering, and find that for a high-finesse resonator coupled to an arbitrary number of channels, the full BWF can be extracted from the BWF associated with photon pairs in an experimentally accessible output channel.

[1]  Chao Tang,et al.  Photon Conversion and Interaction in a Quasi-Phase-Matched Microresonator , 2021, Physical Review Applied.

[2]  M. Liscidini,et al.  Beyond photon pairs: Nonlinear quantum photonics in the high-gain regime , 2021, Advances in Optics and Photonics.

[3]  J. Bowers,et al.  Ultrabright Entangled-Photon-Pair Generation from an AlGaAs -On-Insulator Microring Resonator , 2020, 2009.13462.

[4]  M. Lipson,et al.  Near-Degenerate Quadrature-Squeezed Vacuum Generation on a Silicon-Nitride Chip. , 2020, Physical review letters.

[5]  J. Rarity,et al.  Backscatter and spontaneous four-wave mixing in micro-ring resonators , 2020, Journal of Physics: Photonics.

[6]  M. Borghi.  Phase-resolved joint spectra tomography of a ring resonator photon pair source using a silicon photonic chip. , 2020, Optics express.

[7]  Fabio Sciarrino,et al.  Integrated photonic quantum technologies , 2019, Nature Photonics.

[8]  D. J. Brod,et al.  Classical simulation of linear optics subject to nonuniform losses , 2019, Quantum.

[9]  A. Lita,et al.  Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device , 2019, Science Advances.

[10]  Mark G. Thompson,et al.  Programmable four-photon graph states on a silicon chip , 2018, Nature Communications.

[11]  Guang-Can Guo,et al.  Experimental demonstration of dissipative sensing in a self-interference microring resonator , 2018, Photonics Research.

[12]  Laura Mančinska,et al.  Multidimensional quantum entanglement with large-scale integrated optics , 2018, Science.

[13]  Jelmer J. Renema,et al.  Simulating boson sampling in lossy architectures , 2017, Quantum.

[14]  J. Sipe,et al.  Why you should not use the electric field to quantize in nonlinear optics. , 2017, Optics letters.

[15]  Heming Wang,et al.  Bridging ultrahigh-Q devices and photonic circuits , 2017, Nature Photonics.

[16]  J. Sipe,et al.  Parametric fluorescence in a sequence of resonators: An analogy with Dicke superradiance , 2016 .

[17]  Steven A. Miller,et al.  Thermally controlled comb generation and soliton modelocking in microresonators. , 2016, Optics letters.

[18]  J. E. Sipe,et al.  Spontaneous four-wave mixing in lossy microring resonators , 2015, 1502.05900.

[19]  Jeff F. Young,et al.  Quasinormal mode approach to modelling light-emission and propagation in nanoplasmonics , 2013, 1312.2939.

[20]  J. Sipe,et al.  Super spontaneous four-wave mixing in single-channel side-coupled integrated spaced sequence of resonator structures. , 2012, Optics letters.

[21]  John E. Sipe,et al.  How does it scale? Comparing quantum and classical nonlinear optical processes in integrated devices , 2012 .

[22]  T. Kippenberg,et al.  Microresonator based optical frequency combs , 2012, CLEO 2012.

[23]  J. Sipe,et al.  Asymptotic fields for a Hamiltonian treatment of nonlinear electromagnetic phenomena , 2012 .

[24]  J. Sipe,et al.  Spontaneous four-wave mixing in microring resonators. , 2010, Optics letters.

[25]  S. Arnold,et al.  Whispering-gallery-mode biosensing: label-free detection down to single molecules , 2008, Nature Methods.

[26]  J. Sipe,et al.  Spontaneous parametric down-conversion in waveguides: A backward Heisenberg picture approach , 2008 .

[27]  J. Sipe,et al.  Effective field theory for the nonlinear optical properties of photonic crystals. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  H. Bethe,et al.  Ingoing Waves in Final State of Scattering Problems , 1954 .

[29]  Tymon Barwicz,et al.  Microring-resonator-based add-drop filters in SiN: fabrication and analysis. , 2004, Optics express.

[30]  K. Vahala.  Optical microcavities , 2003, Nature.