arXiv:2404.15563 · Physical Review A

Highly squeezed states in ring resonators: Beyond the undepleted-pump approximation

Colin Vendromin, Yan Liu, Zhenshan S. Yang, John E. Sipe

Published Sep 9, 2024• 9 citations

Abstract

We present a multimode theory of squeezed-state generation in resonant systems valid for arbitrary pump power and including pump depletion. The Hamiltonian is written in terms of asymptotic-in and -out fields from scattering theory, capable of describing a general interaction. As an example we consider the lossy generation of a highly squeezed state by an effective second-order interaction in a silicon nitride ring resonator point coupled to a waveguide. We calculate the photon number, the Schmidt number, and the second-order correlation function of the generated state in the waveguide. The treatment we present provides a path forward to study the deterministic generation of non-Gaussian states in resonant systems.

DOI: 10.1103/physreva.110.033709

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