Cooling a charged mechanical resonator with time-dependent bias gate voltages

TL;DR

This paper proposes a practical electronic method to cool a charged mechanical resonator to near its ground state by tuning bias voltages, utilizing time-dependent eigen-frequency control via Lewis-Riesenfeld invariants.

Contribution

It introduces a simpler, more practical electronic cooling scheme for charged mechanical resonators using time-dependent bias voltages and Lewis-Riesenfeld invariants.

Findings

Achieved near ground state cooling of the resonator.

Demonstrated the scheme's practicality with current technology.

Improved upon previous ideas with a simpler approach.

Abstract

We show a purely electronic cooling scheme to cool a charged mechanical resonator (MR) down to nearly the vibrational ground state by elaborately tuning bias gate voltages on the electrodes, which couple the MR by Coulomb interaction. The key step is the modification of time-dependent effective eigen-frequency of the MR based on the Lewis-Riesenfeld invariant. With respect to a relevant idea proposed previously [Li et al., Phys. Rev. A 83, 043803 (2011)], our scheme is simpler, more practical and completely within the reach of current technology.