Sympathetic cooling of a radio-frequency LC circuit to its ground state in an optoelectromechanical system

TL;DR

This paper develops a comprehensive theory for laser cooling of a macroscopic LC circuit using an optoelectromechanical system, enabling the circuit to reach its quantum ground state through optimized coupling parameters.

Contribution

It introduces a complete theoretical framework for cooling an LC circuit to its ground state via an optoelectromechanical setup, highlighting optimal conditions for achieving quantum ground state.

Findings

Optimal parameter regime identified for ground state cooling

Large optomechanical and electromechanical cooperativity required

Comparable optomechanical and electromechanical coupling rates are advantageous

Abstract

We present a complete theory for laser cooling of a macroscopic radio-frequency LC electrical circuit by means of an optoelectromechanical system, consisting of an optical cavity dispersively coupled to a nanomechanical oscillator, which is in turn capacitively coupled to the LC circuit of interest. We determine the optimal parameter regime where the LC resonator can be cooled down to its quantum ground state, which requires a large optomechanical cooperativity, and a larger electromechanical cooperativity. Moreover, comparable optomechanical and electromechanical coupling rates are preferable for reaching the quantum ground state.