Quantum phase transition in the multi-mode Dicke model

TL;DR

This paper explores the quantum phase transition in multi-mode Dicke models, revealing anticrossing features, calculating critical exponents, and analyzing entanglement properties in the thermodynamic limit.

Contribution

It provides new analytical insights into the critical behavior and entanglement in multi-mode Dicke models, extending understanding of quantum phase transitions.

Findings

Anticrossing features observed after criticality

Critical exponents calculated for the phase transition

Analytical results for pairwise entanglement in the thermodynamic limit

Abstract

An investigation of the quantum phase transition in both discrete and continuum field Dicke models is presented. A series of anticrossing features following the criticality is revealed in the band of the field modes. Critical exponents are calculated. We investigate the properties of a pairwise entanglement measured by a concurrence and obtain analytical results in the thermodynamic limit.