Dicke模型在超强耦合极限下的热相变
Thermal phase transitions for Dicke-type models in the ultra-strong coupling limit
摘要：
我们考虑Dicke模型在超强耦合极限下研究玻色子和费米子系统在有限粒子数$N$下的热相变及其前兆.我们推导出具有简并因子的配分函数，该简并因子占配置的数量，并推导出朗道自由能的显式表达式。这使我们能够讨论原始Dicke（费米子）和玻色子情况之间的差异。我们发现这两种情况之间存在交叉，例如，在特定的热量。
英文摘要：
We consider the Dicke model in the ultra-strong coupling limit to investigate thermal phase transitions and their precursors at finite particle numbers $N$ for bosonic and fermionic systems. We derive partition functions with degeneracy factors that account for the number of configurations and derive explicit expressions for the Landau free energy. This allows us to discuss the difference between the original Dicke (fermionic) and the bosonic case. We find a crossover between these two cases that shows up, e.g., in the specific heat.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
