Adiabatic Shortcuts Completion in Quantum Field Theory: Annihilation of Created Particles

TL;DR

This paper develops a method to complete nonadiabatic quantum field evolutions into shortcuts to adiabaticity using Moore functions, enabling control of moving mirrors in a cavity and potentially reducing particle creation.

Contribution

It introduces a reverse engineering approach with Moore functions to construct shortcuts to adiabaticity in quantum fields with moving boundaries, extending previous work.

Findings

Successful extension of Moore functions for STA implementation

Trajectories of mirrors derived from Moore functions

Reduction of particle creation during nonadiabatic evolution

Abstract

Shortcuts to adiabaticity (STA) are relevant in the context of quantum systems, particularly regarding their control when they are subjected to time-dependent external conditions. In this paper, we investigate the completion of a nonadiabatic evolution into a shortcut to adiabaticity for a quantum field confined within a one-dimensional cavity containing two movable mirrors. Expanding upon our prior research, we characterize the field's state using two Moore functions that enables us to apply reverse engineering techniques in constructing the STA. Regardless of the initial evolution, we achieve a smooth extension of the Moore functions that implements the STA. This extension facilitates the computation of the mirrors' trajectories based on the aforementioned functions. Additionally, we draw attention to the existence of a comparable problem within nonrelativistic quantum mechanics.