期刊
PHYSICAL REVIEW A
卷 100, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.100.063820
关键词
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资金
- China Scholarship Council [201707230010]
- National Natural Science Foundation of China [11704320, 11604240, 61605166, 51702274]
- Natural Science Foundation of Hunan Province, China [2018JJ3482]
- National Basic Research Program of China [2015CB921103]
- Program for Changjiang Scholars and Innovative Research Team in University [IRT13093]
- Spanish Government [PGC2018-095113-B-I00]
- Basque Government [IT986-16]
- QMiCS [820505]
- OpenSuperQ of EU Flagship on Quantum Technologies [820363]
We prove that superradiant phase transitions (SPTs) of the Dicke model and its generalizations in the thermodynamic and classical oscillator limit are indeed of the same type. In this sense, we unify SPTs under both limits at zero and finite temperature. We show that the mean-field approximation for bosons is exact in both cases, and compute the structure and location of the phase transitions in parameter space using a concise analytic method. Moreover, we illustrate how SPT properties (first order, second order, or none) are related to symmetry. Finally, we uncover general features of the phase structure in the space of parameters of these models with dipolar couplings. There will be a region of normal phase in the neighborhood of the origin of the space of dipolar couplings (gamma) over right arrow, and that generally one flows radially in this space to a superradiant phase.
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