Frequency-resolved photon correlations in cavity optomechanics

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.

References in corpus (7)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Cavity Opto-Mechanics with a Bose-Einstein Condensate
• Theory of frequency-filtered and time-resolved N-photon correlations
• Two-Color Photon Correlations of the Light Scattered by a Quantum Dot
• Violation of classical inequalities by photon frequency-filtering
• Photonic Counterparts of Cooper Pairs
• Correlation functions in resonance fluorescence with spectral resolution: Signal-processing approach