Two strategies for modeling nonlinear optics in lossy integrated photonic structures

Abstract

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. Even for these well-understood systems, our strategies yield some novel results. We show the rates of photon pairs, broken pairs, and lost pairs and their dependence on system parameters. We show that the properties of lost and broken photon pairs in such structures can be related to those of the un-scattered photon pairs, which are relatively simple to measure.

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Cited by in corpus (11)

• Generation of photon pairs by spontaneous four-wave mixing in linearly uncoupled resonators
• Theory of Multimode Squeezed Light Generation in Lossy Media
• Photon pair generation via down-conversion in III-V semiconductor microrings: modal dispersion and quasi-phase matching
• Quantum-Referenced Spontaneous Emission Tomography
• Resonant squeezed light from photonic Cooper pairs
• Spectral and temporal properties of type-II parametric down-conversion: The impact of losses during state generation
• Strategies for generating separable photon triplets in waveguides and ring resonators
• An asymptotic field approach for the control of dipole emission in integrated structures
• Photon triplets from integrated microrings: A path towards deterministic non-Gaussianity on a chip
• Time-resolved characterization of pulsed squeezed light from a strongly driven silicon nitride microresonator
• Parametric processes in nonlinear structures with reflections: an asymptotic-field approach