Fast adiabatic control of an optomechanical cavity

TL;DR

This paper develops a shortcut to adiabaticity for controlling an optomechanical cavity with two moving mirrors, enabling fast and precise quantum operations through analytical and numerical methods.

Contribution

It introduces an analytical framework for implementing shortcuts to adiabaticity in optomechanical cavities with two mirrors, enhancing control speed and accuracy.

Findings

Successful implementation of STA for various mirror trajectories

Analytical expressions for effective trajectories derived

Numerical confirmation of STA effectiveness across protocols

Abstract

The development of quantum technologies present important challenges such as the need for fast and precise protocols for implementing quantum operations. Shortcuts to adiabaticity (STA) are a powerful tool for achieving these goals, as they enable us to perform an exactly adiabatic evolution in finite time. In this paper we present a shortcut to adiabaticity for the control of an optomechanical cavity with two moving mirrors. Given reference trajectories for the mirrors, we find analytical expressions that give us effective trajectories which implement a STA for the quantum field inside the cavity. We then solve these equations numerically for different reference protocols, such as expansions, contractions and rigid motions; thus confirming the successful implementation of the STA and finding some general features of these effective trajectories.