Temperature gradient and asymmetric steady state correlations in dissipatively coupled cascaded optomechanical systems

TL;DR

This paper investigates unidirectional dissipative optomechanical systems, revealing how temperature gradients and asymmetric correlations emerge, and demonstrating the ability to reconstruct individual mirror spectra from output signals.

Contribution

It introduces a model for unidirectional dissipative coupling in optomechanical systems, deriving effective interactions and analyzing asymmetrical correlations and temperature gradients.

Findings

Steady-state correlations can persist long-term.

Unidirectional coupling induces a temperature gradient between mirrors.

Output spectra enable reconstruction of individual mirror spectra.

Abstract

The interaction between a light mode and a mechanical oscillator via radiation pressure in optomechanical systems is an excellent platform for a multitude of applications in quantum technologies. In this work we study the dynamics of a pair of optomechanical systems interacting dissipatively with a wave guide in a unidirectional way. Focusing on the regime where the cavity modes can be adiabatically eliminated we derive an effective coupling between the two mechanical modes and we explore both classical and quantum correlations established between the modes in both in the transient and in the stationary regime, highlighting their asymmmetrical nature due to the unidirectional coupling, and we find that a constant amount of steady correlations can exist at long times. Furthermore we show that this unidirectional coupling establishes a temperature gradient between the mirrors, depending on the frequencies' detuning. We additionally analyze the power spectrum of the output guide field and we show how, thanks to the chiral coupling, from such spectrum it is possible to reconstruct the spectra of each single mirror.