Invariant-based inverse engineering for fluctuation transfer between membranes in an optomechanical cavity system

TL;DR

This paper presents a method using invariant-based inverse engineering to rapidly and robustly transfer quantum fluctuations between membranes in an optomechanical cavity, optimizing the process against decay and noise.

Contribution

It introduces a non-adiabatic, invariant-based control scheme for efficient fluctuation transfer in optomechanical systems, enhancing speed and robustness.

Findings

Achieves rapid, perfect fluctuation transfer in one step.

Transfer is robust against amplitude noise and cavity decay.

Demonstrates effectiveness through numerical simulations.

Abstract

In this paper, by invariant-based inverse engineering, we design classical driving fields to transfer quantum fluctuations between two suspended membranes in an optomechanical cavity system. The transfer can be quickly attained through a non-adiabatic evolution path determined by a so-called dynamical invariant. Such an evolution path allows one to optimize the occupancies of the unstable "intermediate" states thus the influence of cavity decays can be suppressed. Numerical simulation demonstrates that a perfect fluctuation transfer between two membranes can be rapidly achieved in one step, and the transfer is robust to both the amplitude noises and cavity decays.