Journal of Hebei University(Natural Science Edition) >

2024 , Vol. 44 >Issue 1: 34 - 41

DOI: https://doi.org/10.3969/j.issn.1000-1565.2024.01.005

Dynamics of finite size quantum Dicke-Stark model

  • YAN Zhanyuan ,
  • LI Xinyang ,
  • QIU Fangcheng ,
  • CHANG Xizhe ,
  • LIU Yang
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  • 1. Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China; 2. Electric Power Research Institute of Yunnan Power Grid Co., Ltd., Kunming 650011, China; 3.Hebei Key Laboratory of Physics and Energy Technology, North China Electric Power University, Baoding 071003, China

Received date: 2023-09-06

  Online published: 2024-03-15

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Abstract

Using the hyper completeness of the coherent states space, the truncation problem of the infinite dimensional photon number can be effectively avoided, and the rigorous solutions can be obtained in the finite coherent state space. In this paper, the exact solution of the Dicke-Stark model in the coherent state space are achieved, and then the quantum phase transition and time evolution dynamics of the model are discussed. By calculating the average number of photons and average angular momentum of the ground state of the Dicke-Stark model, the phenomenon of quantum phase transition was reproduced, and the critical point of quantum phase transition would shift with the nonlinear Stark interaction. By calculating the phase diagrams of the average photon number and average angular momentum of the Dicke-Stark model with respect to coupling strength and time evolution, the time evolution dynamics of the Dicke-Stark model were presented, the results are helpful to investigate the dynamics of the finite size quantum Dicke-Stark model.

Key words： Dicke-Stark model; coherent states representation; average photon number

Cite this article

YAN Zhanyuan , LI Xinyang , QIU Fangcheng , CHANG Xizhe , LIU Yang . Dynamics of finite size quantum Dicke-Stark model[J]. Journal of Hebei University(Natural Science Edition), 2024 , 44(1) : 34 -41 . DOI: 10.3969/j.issn.1000-1565.2024.01.005

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