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

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.

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Cited by in corpus (8)

• Excited state quantum phase transitions in the bending spectra of molecules
• Signatures of excited state quantum phase transitions in quantum many body systems: Phase space analysis
• Avoided crossings and dynamical tunneling close to excited-state quantum phase transitions
• Role of mixed permutation symmetry sectors in the thermodynamic limit of critical three-level Lipkin-Meshkov-Glick atom models
• Anharmonicity-induced excited-state quantum phase transition in the symmetric phase of the two-dimensional limit of the vibron model
• Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules
• Wehrl entropy production rate across a dynamical quantum phase transition
• Localization measures of parity adapted U($D$)-spin coherent states applied to the phase space analysis of the $D$-level Lipkin-Meshkov-Glick model