Identifying the order of a quantum phase transition by means of Wehrl entropy in phase-space

TL;DR

This paper introduces a phase-space based method using Wehrl entropy to determine the order of quantum phase transitions, demonstrated on several bosonic models including the Dicke and Lipkin-Meshkov-Glick models.

Contribution

It presents a novel approach utilizing Wehrl entropy in phase space to identify quantum phase transition orders, applicable to various bosonic systems.

Findings

Successfully applied to the Quantum Cusp example.

Effective in distinguishing transition orders in multiple models.

Provides a new tool for analyzing quantum phase transitions.

Abstract

We propose a method to identify the order of a Quantum Phase Transition by using area measures of the ground state in phase space. We illustrate our proposal by analyzing the well known example of the Quantum Cusp, and four different paradigmatic boson models: Dicke, Lipkin-Meshkov-Glick, interacting boson model, and vibron model.