Monte Carlo approach to quantum work in strongly correlated electron systems

TL;DR

This paper introduces a Monte Carlo method to analyze quantum work statistics in strongly correlated electron systems, revealing phase transition signatures and offering a new tool for quantum thermodynamics research.

Contribution

It presents a novel Monte Carlo framework for calculating quantum work statistics in correlated systems, specifically applied to the Ising-Kondo model, highlighting phase transition signatures.

Findings

Singularities in work statistics at the metal-insulator transition at low temperatures.

Disappearance of singularities and smooth crossover at high temperatures.

Quantum work effectively identifies phase transitions in correlated electron systems.

Abstract

We develop a Monte Carlo framework to analyze the statistics of quantum work in correlated electron systems. Using the Ising-Kondo model in heavy fermions as a paradigmatic platform, we thoroughly illustrate the process of determining the moment generating function of quantum work under nonequilibrium conditions in detail. Based on this function, we systematically investigate essential statistical quantities, including the mean irreversible work density, the mean work density, variance, and the third central moment of quantum work across different quench processes. Our findings highlight distinct singularities in these quantities at the metal-insulator phase transition point at low temperatures. However, these singularities disappear, and the transition becomes a smooth crossover at high temperatures. This stark contrast underscores quantum work as an effective thermodynamic tool for identifying metal-insulator phase transitions. Our approach provides a promising new framework for investigating nonequilibrium quantum thermodynamics in strongly correlated electron systems.