Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving

TL;DR

This paper investigates how counterdiabatic driving influences work fluctuations in quantum systems, revealing a fundamental inequality linking fluctuations, operation time, and thermodynamic costs, applicable across different system criticalities.

Contribution

It derives a universal inequality connecting work fluctuations, operation time, and thermodynamic cost in counterdiabatic driving, highlighting the broadening of work distribution despite zero mean work.

Findings

Counterdiabatic driving broadens work distribution.

Mean work done by auxiliary controls vanishes.

A fundamental inequality relates work fluctuations to operation time.

Abstract

Counterdiabatic driving (CD) exploits auxiliary control fields to tailor the nonequilibrium dynamics of a quantum system, making possible the suppression of dissipated work in finite-time thermodynamics and the engineering of optimal thermal machines with no friction. We show that while the mean work done by the auxiliary controls vanishes, CD leads to a broadening of the work distribution. We derive a fundamental inequality that relates nonequilibrium work fluctuations to the operation time and quantifies the thermodynamic cost of CD in both critical and noncritical systems.