Quantum work statistics of controlled evolutions

Abstract

We use the quantum work statistics to characterize the controlled dynamics governed by a counterdiabatic driving field. Focusing on the Shannon entropy of the work probability distribution, $P(W)$, we demonstrate that the thermodynamics of a controlled evolution serves as an insightful tool for studying the non-equilibrium dynamics of complex quantum systems. In particular, we show that the entropy of $P(W)$ recovers the expected scaling according to the Kibble-Zurek mechanism for the Landau-Zener model. Furthermore, we propose that the entropy of the work distribution provides a useful summary statistic for characterizing the need and complexity of the control fields for many-body systems.

5 pages, 2 figures

References in corpus (5)

• Fluctuation theorems: Work is not an observable
• Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
• Kibble-Zurek scaling of the irreversible entropy production
• Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
• Thermodynamic Cost for Classical Counterdiabatic Driving