Theory of phase-adaptive parametric cooling

TL;DR

This paper introduces a phase-adaptive method for cooling mechanical resonances to their quantum ground state by dynamically adjusting the phase of parametric modulation, achieving exponential thermal energy reduction.

Contribution

It presents a novel adaptive phase technique for parametric cooling, with analytical models for cooling rates and final occupancies in classical and quantum regimes.

Findings

Effective cooling to quantum ground state demonstrated

Analytical expressions for cooling rate and occupancy derived

Technique comparable to cold-damping and cavity self-cooling methods

Abstract

We propose an adaptive phase technique for the parametric cooling of mechanical resonances. This involves the detection of the mechanical quadratures, followed by a sequence of periodic controllable adjustments of the phase of a parametric modulation. The technique allows the preparation of the quantum ground state with an exponential loss of thermal energy, similarly to the case of cold-damping or cavity self-cooling. Analytical derivations are presented for the cooling rate and final occupancies both in the classical and quantum regimes.