Highly Squeezed States in Ring Resonators: Beyond the Undepleted Pump Approximation

• URL: http://arxiv.org/abs/2404.15563v1
• Date: Tue, 23 Apr 2024 23:24:39 GMT
• Title: Highly Squeezed States in Ring Resonators: Beyond the Undepleted Pump Approximation
• Authors: Colin Vendromin, Yan Liu, Zhenshan Yang, John E. Sipe,
• Abstract summary: We present a multimode theory of squeezed state generation in resonant systems valid for arbitrary pump power and including pump depletion. 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.
• Score: 4.669407531195486
• License: http://creativecommons.org/licenses/by/4.0/
• 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, 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.

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