Quantum reservoir engineering through quadratic optomechanical interaction in the reversed dissipation regime

TL;DR

This paper investigates how quadratic optomechanical interactions in the reversed dissipation regime can be used to engineer quantum reservoirs, enabling control over the electromagnetic field's thermal state and temperature estimation.

Contribution

It introduces a theoretical framework for reservoir engineering via quadratic coupling in the reversed dissipation regime, including analytical expressions for steady-state photon number and critical temperature.

Findings

The cavity field effectively gains an additional reservoir influenced by mechanical bath temperature.

Analytical formulas for steady-state mean photon number and critical temperature are derived.

Mechanical temperature can be estimated from cavity noise spectrum in the quantum regime.

Abstract

We explore the electromagnetic field coupled to a mechanical resonator via quadratic optomechanical interaction in the reversed dissipation regime where the mechanical damping rate is much larger than the cavity field dissipation rate. It is shown that in this regime, the cavity field effectively acquires an additional reservoir which is conditioned by the temperature of the mechanical bath as well as the mechanical damping rate. We analytically find the steady-state mean photon number and the critical temperature of the mechanical oscillator to cool or heat the coupled electromagnetic field. We also show that in the case of quadratic coupling, the temperature of the mechanical oscillator can be estimated in the quantum regime by observing the noise spectrum of the cavity field.