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Chin. Phys. B, 2020, Vol. 29(12): 120506    DOI: 10.1088/1674-1056/abc679
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Quantum quenches in the Dicke model: Thermalization and failure of the generalized Gibbs ensemble

Xiao-Qiang Su(苏晓强)† and You-Quan Zhao(赵有权)
College of Physics and Information Engineering, ShanXi Normal University, Linfen 041004, China
Abstract  Quantum quenches in the Dicke model were studied both in the thermodynamic limit and the finite systems. For the integrable situation in the thermodynamic limit, the generalized Gibbs ensemble can effectively describe the energy-level occupations for the quench within the normal phase, but it fails for the quench to the superradiant phase. For the finite systems which are considered non-integrable, the post quench systems were studied by comparing with the thermal ensembles. The canonical ensembles are directly available for the quench within the normal phase. With the increasing of the target coupling strength over the equilibrium phase transition critical point, sudden changes take place for the effective temperature and the distance to the thermal ensembles. The thermalization was also studied by comparing with the results of the microcanonical ensembles.
Keywords:  quantum quench      generalized Gibbs ensemble      thermalization      Dicke model  
Received:  22 September 2020      Revised:  18 October 2020      Accepted manuscript online:  31 October 2020
PACS:  05.70.Ln (Nonequilibrium and irreversible thermodynamics)  
  02.30.Ik (Integrable systems)  
  64.70.qd (Thermodynamics and statistical mechanics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11147110) and the Natural Science Youth Foundation of Shanxi, China (Grant No. 2011021003).
Corresponding Authors:  Corresponding author. E-mail: suxq@mail.ustc.edu.cn   

Cite this article: 

Xiao-Qiang Su(苏晓强) and You-Quan Zhao(赵有权) Quantum quenches in the Dicke model: Thermalization and failure of the generalized Gibbs ensemble 2020 Chin. Phys. B 29 120506

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