Spectrum of single-photon emission and scattering in cavity optomechanics

TL;DR

This paper provides an analytic solution for the quantum state of a single photon interacting with a moving mirror in a cavity, revealing spectral features and conditions for phonon sidebands in the strong-coupling regime.

Contribution

It offers a novel analytic framework for understanding single-photon interactions and spectral properties in cavity optomechanics, including conditions for resolving phonon sidebands.

Findings

Spectral features of single-photon strong-coupling regime identified

Conditions for observing phonon sidebands clarified

Photon-state frequency shifts can be resolved under specific conditions

Abstract

We present an analytic solution describing the quantum state of a single photon after interacting with a moving mirror in a cavity. This includes situations when the photon is initially stored in a cavity mode as well as when the photon is injected into the cavity. In addition, we obtain the spectrum of the output photon in the resolved-sideband limit, which reveals spectral features of the single-photon strong-coupling regime in this system. We also clarify the conditions under which the phonon sidebands are visible and the photon-state frequency shift can be resolved.