Coherent State Description of the Ground State in the Tavis-Cummings Model and its Quantum Phase Transitions

Details Coherent State Description of the Ground State in the Tavis-Cummings Model and its Quantum Phase Transitions Coherent State Description of the Ground State in the Tavis-Cummings Model and its Quantum Phase Transitions

2009-09-02

arxiv.org/abs/0909.0299v1

Physica Scripta, Volume 79, Issue 6, pp. 065405 (2009)

Physics

Quantum Physics

38 pages, 16 figures

Scientific paper

10.1088/0031-8949/79/06/065405

Quantum phase transitions and observables of interest of the ground state in the Tavis-Cummings model are analyzed, for any number of atoms, by using a tensorial product of coherent states. It is found that this "trial" state constitutes a very good approximation to the exact quantum solution, in that it globally reproduces the expectation values of the matter and field observables. These include the population and dipole moments of the two-level atoms and the squeezing parameter. Agreement in the field-matter entanglement and in the fidelity measures, of interest in quantum information theory, is also found.The analysis is carried out in all three regions defined by the separatrix which gives rise to the quantum phase transitions. It is argued that this agreement is due to the gaussian structure of the probability distributions of the constant of motion and the number of photons. The expectation values of the ground state observables are given in analytic form, and the change of the ground state structure of the system when the separatrix is crossed is also studied.

Affiliated with

Also associated with

No associations

Rating

Coherent State Description of the Ground State in the Tavis-Cummings Model and its Quantum Phase Transitions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Coherent State Description of the Ground State in the Tavis-Cummings Model and its Quantum Phase Transitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coherent State Description of the Ground State in the Tavis-Cummings Model and its Quantum Phase Transitions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-11669