Frequency-resolved photon correlations in cavity optomechanics

TL;DR

This paper explores how frequency-resolved photon correlations in cavity optomechanics reveal hidden nonlinearities and system dynamics, offering new insights and experimental avenues for studying nonlinear quantum systems.

Contribution

It provides a detailed analysis of frequency-resolved photon correlations in optomechanical systems, highlighting their ability to uncover nonlinearities and system dynamics that are not visible through standard observables.

Findings

Frequency-resolved correlations reveal hidden nonlinearities.

Time-delayed correlations provide insights into system dynamics.

Correlation dependence on parameters like coupling strength and noise.

Abstract

Frequency-resolved photon correlations have proven to be a useful resource to unveil nonlinearities hidden in standard observables such as the spectrum or the standard (color-blind) photon correlations. In this manuscript, we analyze the frequency-resolved correlations of the photons being emitted from an optomechanical system where light is nonlinearly coupled to the quantized motion of a mechanical mode of a resonator, but where the quantum nonlinear response is typically hard to evidence. We present and unravel a rich landscape of frequency-resolved correlations, and discuss how the time-delayed correlations can reveal information about the dynamics of the system. We also study the dependence of correlations on relevant parameters such as the single-photon coupling strength, the filtering linewidth, or the thermal noise in the environment. This enriched understanding of the system can trigger new experiments to probe nonlinear phenomena in optomechanics, and provide insights into dynamics of generic nonlinear systems.