PHASE-TRANSITION IN DICKE MODEL OF SUPERRADIANCE

PHASE-TRANSITION IN DICKE MODEL OF SUPERRADIANCE
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DOI:
10.1103/physreva.7.831
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发表时间:
1973-01-01
期刊:
影响因子:
2.9
通讯作者:
HIOE, FT
HIOE, FT
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
WANG, YK;HIOE, FT

文献摘要

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研究了N个二能级原子与量子化光场相互作用的系统,即所谓的超辐射Dicke模型。利用光场的一组Glauber相干态,在热力学极限下精确地计算了系统的自由能。这一结果与赫普和利布的研究结果完全一致,他们用不同的方法研究了同一模型。在我们的方法中,系统相变的展示是以基本的数学方式来表示的。文中还给出了有限多个辐射模式的推广。
A system of N two-level atoms interacting with a quantized field, the so-called Dicke model of superradiance, is studied. By making use of a set of Glauber's coherent states for the field, the free energy of the system is calculated exactly in the thermodynamic limit. The results agree precisely with those obtained by Hepp and Lieb, who studied the same model using a different method. The exhibition of a phase transition of the system is presented mathematically in an elementary manner in our approach. The generalization to the case of finitely many radiation modes is also presented.