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Finite-size scaling exponents in the Dicke model

myco 添加于 2011-5-16 16:00 | 1114 次阅读 | 0 个评论

作者
Vidal J, Dusuel S
摘要
We consider the finite-size corrections in the Dicke model and determine the scaling exponents at the critical point for several quantities such as the ground-state energy or the gap. Therefore, we use the Holstein-Primakoff representation of the angular momentum and introduce a canonical transformation to diagonalize the Hamiltonian in the normal phase. As already observed in several systems, these corrections turn out to be singular at the transition point and thus lead to nontrivial exponents. We show that for the atomic observables, these exponents are the same as in the Lipkin-Meshkov-Glick model, in agreement with numerical results. We also investigate the behavior of the order parameter related to the radiation mode and show that it is driven by the same scaling variable as the atomic one.
详细资料
- 文献种类:期刊
- 期刊名称: Europhysics Letters (EPL)
- 期刊缩写: Europhys. Lett.
- 期卷页: 2006年第74卷第5期 817-822页
- ISBN: 0295-5075
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