Optimized sideband cooling with initial system correlations in non-Markovian regime

TL;DR

This paper investigates how initial system correlations can be exploited to optimize sideband cooling in a non-Markovian optomechanical system, leading to faster and more effective phonon reduction.

Contribution

It introduces a novel approach to enhance sideband cooling by incorporating initial correlations and Q-modulation, achieving rapid ground state cooling in non-Markovian regimes.

Findings

Initial correlations significantly reduce phonon number.

Beam-splitter correlations accelerate cooling rate.

Optimized protocol achieves rapid, stable ground state.

Abstract

An optimized sideband cooling in the presence of initial system correlations is investigated for a standard optomechanical system coupled to a general mechanical non-Markovian reservoir. We study the evolution of phonon number by incorporating the effects of initial correlations into the time-dependent coefficients in the Heisenberg equation. We introduce the concept of cooling rate and define an average phonon reduction function to describe the sideband cooling effect in non-Markovian regime. Our results show that the instantaneous phonon number can be significantly reduced by introducing either the parametric-amplification type or the beam-splitter type initial correlations. In addition, the ground state cooling rate can be accelerated by enhancing the initial correlation of beam-splitter type. By optimizing the initial state of the system and utilizing Q-modulation technology, a stable mechanical ground state can be obtained in a very short time. Our optimized cooling protocol provides an appealing platform for phonon manipulation and quantum information processing in solid-state systems.