Thermodynamics and superradiant phase transitions in a three-level Dicke model

2016/10/25 by Mathias Hayn, Tobias Brandes
Computer Science · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Limit (mathematics) #Mathematics #Order (exchange) #Phase (matter) #Phase transition #Physics #Quantum Information and Cryptography #Quantum many-body systems #Quantum mechanics #Statistical physics #Thermodynamic limit #Thermodynamics #Zero (linguistics) #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physreve.95.012153

published as Phys. Rev. E 95, 012153 (2017)

arxiv created 2016/10/25 · openalex publication_date 2017/01/27 · arxiv updated 2017/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze the thermodynamic properties of a generalized Dicke model, i.e., a collection of three-level systems interacting with two bosonic modes. We show that at finite temperatures the system undergoes first-order phase transitions only, which is in contrast to the zero-temperature case where a second-order phase transition exists as well. We discuss the free energy and prominent expectation values. The limit of vanishing temperature is discussed as well.

Citations

• Coherent and collective quantum optical effects in mesoscopic systems
• Finite-size scaling exponents in the Dicke model
• Cold atoms in cavity-generated dynamical optical potentials
• Multimode mean-field model for the quantum phase transition of a Bose-Einstein condensate in an optical resonator
• Quantum quenches in the Dicke model: Statistics of the work done and of other observables
• Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
• Coherent and Incoherent States of the Radiation Field
• The driven Dicke Model: time-dependent mean field and quantum fluctuations in a non-equilibrium quantum many-body system