Evolution of Extended JC-Dicke Quantum Phase Transition with a Coupled Optical Cavity in Bose-Einstein Condensate System

In this paper, the extended Jaynes-Cummings-Dicke (JC-Dicke) model which describes a two-level atomic Bose-Einstein condensate (BEC) dispersive coupled to a high-finesse optical cavity is considered. The theoretical description of an effective Hamiltonian for BEC is introduced. The potential energy...

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Bibliographic Details
Published in:International journal of theoretical physics 2017-11, Vol.56 (11), p.3655-3666
Main Authors: Abdel-Rady, A. S., Hassan, Samia S. A., Osman, Abdel-Nasser A., Salah, Ahmed
Format: Article
Language:English
Subjects:
Bose-Einstein condensates
Coherence
Condensates
Elementary Particles
Mathematical and Computational Physics
Mathematical models
Phase transitions
Physics
Physics and Astronomy
Potential energy
Quantum Field Theory
Quantum mechanics
Quantum Physics
Theoretical
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Summary:In this paper, the extended Jaynes-Cummings-Dicke (JC-Dicke) model which describes a two-level atomic Bose-Einstein condensate (BEC) dispersive coupled to a high-finesse optical cavity is considered. The theoretical description of an effective Hamiltonian for BEC is introduced. The potential energy surface of the system is obtained from the direct product Heisenberg-Weyl (HW1) coherent states for the field and U(2) coherent states for the matter. Also, the variational energy is evaluated as the expectation value of the Hamiltonian for this state in the framework of mean-field approach. The quantum phase transitions (QPTs) and the Berry phase for this model are investigated numerically. We observed that the atom-atom interactions can strongly affect the quantum phase transition point. Furthermore, we noticed that the coherent atoms not only shift the phase transition point but also affect the macroscopic excitations in the superradiant phase. Moreover, it is found that the new phase transition occurs when the microwave amplitude changes. Some of the numerical results in this paper are agreement precisely with the results of our paper which has published in Int. J. Mod. Phys. B when we studied the same model using a different coherent state.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-017-3531-3