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arXiv 1107.2945quant-phhep-th
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具有偶极-偶极相互作用的全Dicke模型的路径积分方法

Path integral approach to the full Dicke model with dipole-dipole interaction

M. Aparicio Alcalde, J. Stephany, N. F. Svaiter

摘要:

我们考虑了由单个玻色子模和一个$N$全同二能级原子系综组成的全Dicke自旋玻色子模型,原子间存在偶极-偶极相互作用,原子间的共振和反共振相互作用项具有不同的耦合.假设该系统是在热平衡与温度$β^{-1}$的水库,我们计算的自由能在热力学极限$N\rightarrow\infty$在鞍点近似的路径积分,并确定超辐射相变的临界温度。在零温极限下,我们恢复了文献中提出的量子相变的临界耦合。

英文摘要:

We consider the full Dicke spin-boson model composed by a single bosonic mode and an ensemble of $N$ identical two-level atoms with different couplings for the resonant and anti-resonant interaction terms, and incorporate a dipole-dipole interaction between the atoms. Assuming that the system is in thermal equilibrium with a reservoir at temperature $β^{-1}$, we compute the free energy in the thermodynamic limit $N\rightarrow\infty$ in the saddle-point approximation to the path integral and determine the critical temperature for the superradiant phase transition. In the zero temperature limit, we recover the critical coupling of the quantum phase transition, presented in the literature.

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。

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