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25 April 2024
 
  » arxiv » 2009.11047

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Universal dynamics of superradiant phase transition in the anisotropic quantum Rabi model
Xunda Jiang ; Bo Lu ; Chengyin Han ; Ruihuan Fang ; Minhua Zhao ; Zhu Ma ; Tian Guo ; Chaohong Lee ;
Date 23 Sep 2020
AbstractWe investigate the universally non-equilibrium dynamics of superradiant phase transition in the anisotropic quantum Rabi model. By introducing position and momentum operators, we obtain the ground states and their excitation gaps for both normal and superradiant phases via perturbation theory. We analytically extract the critical exponents from the excitation gap and the diverging length scale near the critical point, and find that the critical exponents are independent upon the anisotropy ratio. Moreover, by simulating the real-time dynamics across the critical point, we numerically extract the critical exponents from the phase transition delay and the diverging length scale, which are well consistent with the analytical ones. Our study provides a dynamic way to explore universal critical behaviors in the quantum Rabi model.
Source arXiv, 2009.11047
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