Sympathetic cooling of a radio-frequency LC circuit to its ground state in an optoelectromechanical system
Nicola Malossi (University of Camerino, Sezione di Perugia)
Paolo Piergentili (University of Camerino, Sezione di Perugia)
Jie Li (Zhejiang University - Hangzhou, TU Delft - QN/Quantum Nanoscience, Kavli institute of nanoscience Delft, TU Delft - QN/Groeblacher Lab)
Enrico Serra (Trento Institute for Fundamental Physics and Applications, TU Delft - Electronic Components, Technology and Materials, Institute of Materials for Electronics and Magnetism - Nanoscience-Trento-FBK Division)
Riccardo Natali (University of Camerino, Sezione di Perugia)
Giovanni Di Giuseppe (Sezione di Perugia, University of Camerino)
David Vitali (University of Camerino, Istituto Nazionale di Ottica, Consiglio Nazionale delle Ricerche, Sezione di Perugia)
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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. 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 optomechanical cooperativity, and a larger electromechanical cooperativity. Moreover, comparable optomechanical and electromechanical coupling rates are preferable for reaching the quantum ground state.