物理科学与技术学院学术报告:Universal Scaling and Critical Exponents of the Anisotropic Quantum Rabi Model

报告题目:Universal Scaling and Critical Exponents of the Anisotropic Quantum Rabi Model

报告人:刘卯鑫 博士北京计算科学研究中心

报告时间:2018123 日(星期二) 下午13:00-14:00

报告地点:物理科技楼113

报告摘要:

We investigate the quantum phase transition of the anisotropic quantum Rabi model, in which the rotating and counterrotating terms are allowed to have different coupling strengths. The model interpolates between two known limits with distinct universal properties. Through a combination of analytic and numerical approaches, we extract the phase diagram, scaling functions, and critical exponents, which determine the universality class at finite anisotropy (identical to the isotropic limit). We also reveal other interesting features, including a superradiance-induced freezing of the effective mass and discontinuous scaling functions in the Jaynes-Cummings limit. Our findings are extended to the few-body quantum phase transitions with N>1 spins, where we expose the same effective parameters, scaling properties, and phase diagram. Thus, a stronger form of universality is established, valid from N=1 up to the thermodynamic limit.

 

 


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