Phase Conjugation in Quantum Optomechanics

TL;DR

This paper explores phase conjugation in quantum optomechanics, revealing time-reversed dynamics and temperature effects in coupled oscillators, with potential applications in force sensing and quantum measurement.

Contribution

It introduces a quantum optomechanical system exhibiting phase conjugation effects, analyzing quantum limitations and proposing a sensing protocol utilizing phase-conjugate swaps.

Findings

Time-reversed qualities in oscillator dynamics

Opposite sign temperatures in classical regime

Measurable effects via qubit read-out

Abstract

We analyze the phase conjugate coupling of a pair of optomechanical oscillator modes driven by the time-dependent beat-note due to a two-color optical field. The dynamics of the direct and phase conjugate modes exhibit familiar time-reversed qualities, leading to opposite sign temperatures for the modes in the classical regime of operation, but these features are limited by quantum effects due to the non-commutative nature of quantum mechanical operators. The effects are measurable by read-out of the oscillator via a qubit. As a potential application of this system in sensing, we discuss a protocol applying phase-conjugate swaps to cancel external forces acting on the system.