Speedup of thermodynamic entropy production via quantum dynamical criticality

TL;DR

This paper explores how dynamical quantum phase transitions influence entropy production and system complexity, proposing a geometric approach to understand thermodynamics in out-of-equilibrium quantum systems.

Contribution

It introduces a geometric framework linking dynamical criticality to thermodynamics, advancing understanding of entropy production during out-of-equilibrium quantum phase transitions.

Findings

Dynamical criticality can induce complex system dynamics.

The geometric perspective provides new insights into entropy production.

Potential pathway to thermalization in quantum systems.

Abstract

The thermodynamics of quantum phase transitions has long been a rich area of research, providing numerous insights and enhancing our understanding of this important phenomenon. This theoretical framework has been well-developed specially because quantum phase transitions occur at equilibrium. However, its dynamical counterpart, known as dynamical quantum phase transitions (DQPTs), takes place out-of-equilibrium, where conventional thermodynamic tools are inapplicable. In this work, we make progress in this area by connecting dynamical criticality to thermodynamics through a geometric perspective on entropy production. Our findings, along with other recent developments, suggest that dynamical criticality can lead the system to highly complex dynamics, indicating a possible pathway to thermalization.