A path integral approach to the full Dicke model with dipole-dipole interaction

作者:Aparicio Alcalde M; Stephany J; Svaiter N F
来源:Journal of Physics A-Mathematical and Theoretical, 2011, 44(50): 505301.
DOI:10.1088/1751-8113/44/50/505301

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 beta(-1), we compute the free energy in the thermodynamic limit N -> infinity in the saddle-point approximation to the path integral and determine the critical temperature for the super-radiant phase transition. In the zero temperature limit, we recover the critical coupling of the quantum phase transition, presented in the literature.

  • 出版日期2011-12-16