Minimum-Time Cavity Optomechanical Cooling

TL;DR

This paper formulates cavity optomechanical cooling as a minimum-time optimal control problem on anti-de Sitter space, using pseudospectral methods to find optimal cooling strategies and potential applications in entanglement and heat engines.

Contribution

It introduces a novel optimal control framework for achieving minimum-time cavity optomechanical cooling using advanced mathematical techniques.

Findings

Optimal control solutions for minimum-time cooling identified.

Framework applicable to entanglement creation and heat engine efficiency.

Demonstrates the effectiveness of pseudospectral optimization in quantum control.

Abstract

Optomechanical cooling is a prerequisite for many exotic applications promised by modern quantum technology and it is crucial to achieve it in short times, in order to minimize the undesirable effects of the environment. We formulate cavity optomechanical cooling as a minimum-time optimal control problem on anti-de Sitter space of appropriate dimension and use the Legendre pseudospectral optimization method to find the minimum time and the corresponding optimal control, for various values of the maximum coupling rate between the cavity field and the mechanical resonator. The present framework can also be applied to create optomechanical entanglement in minimum time and to improve the efficiency of an optomechanical quantum heat engine.