Correlations and Work Statistics in Critical Quantum Systems

TL;DR

This paper investigates quantum phase transitions in spin-1/2 models by combining quantum information theory and thermodynamics, focusing on correlations and work statistics in both equilibrium and non-equilibrium scenarios.

Contribution

It introduces a novel integrated approach using quantum correlations and work statistics to analyze critical phenomena in quantum spin systems.

Findings

Quantum correlations reveal critical points effectively.

Work statistics characterize non-equilibrium phase transitions.

Combined methods improve understanding of quantum criticality.

Abstract

In this dissertation, we analyze equilibrium and out-of-equilibrium quantum phase transitions present in quantum spin-$\frac{1}{2}$ models, using a quantum information approach through quantum correlations and phase space formalism, and a quantum thermodynamic approach through the work statistics formalism.