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

Alcalde, M. A., Stephany, J., & Svaiter, N. F. (2011). Path integral approach to the full Dicke model with dipole-dipole interaction. Journal of Physics A: Mathematical and General, 44: 505301. Retrieved from http://arxiv.org/abs/1107.2945.

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Alcalde, M. Aparicio, Author
Stephany, J.1, Author
Svaiter, N. F., Author
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1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, 24014

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Free keywords: Quantum Physics, quant-ph,High Energy Physics - Theory, hep-th
Abstract: 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 $N\rightarrow\infty$ 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.

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Dates: 2011-07-142011
Publication Status: Published in print
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Identifiers: arXiv: 1107.2945
URI: http://arxiv.org/abs/1107.2945
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Title: Journal of Physics A: Mathematical and General
Source Genre: Journal
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Pages: - Volume / Issue: 44 Sequence Number: 505301 Start / End Page: - Identifier: -