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

We present a complete theory for laser cooling of a macroscopic radio-frequency LC electrical circuit bymeans 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. The driven optical cavity cools the mechanical resonator, which in turn sympathetically cools the LC circuit. We determine the optimal parameter regime where the LC resonator can be cooled down to its quantum ground state, which requires a large optome-chanical cooperativity, and a larger electromechanical cooperativity. Moreover, comparable optomechanical and electromechanical coupling rates are preferable for reaching the quantum ground state.

Automated summary

A complete theory for laser cooling of a macroscopic radio-frequency LC electrical circuit using an optoelectromechanical system is proposed, where an optical cavity cools a mechanical resonator and then sympathetically cools the LC circuit. The study identifies the optimal parameter regime for cooling the LC resonator to its quantum ground state, emphasizing the importance of large optomechanical and electromechanical cooperativity. Additionally, comparable coupling rates of optomechanical and electromechanical interactions are preferred for achieving the quantum ground state.