Chaos and the Quantum Phase Transition in the Dicke Model

Details Chaos and the Quantum Phase Transition in the Dicke Model Chaos and the Quantum Phase Transition in the Dicke Model

2003-01-15

arxiv.org/abs/cond-mat/0301273v1

Phys.Rev.E67:066203,2003

Physics

Condensed Matter

51 pages, 15 figures, latex

Scientific paper

10.1103/PhysRevE.67.066203

We investigate the quantum chaotic properties of the Dicke Hamiltonian; a quantum-optical model which describes a single-mode bosonic field interacting with an ensemble of $N$ two-level atoms. This model exhibits a zero-temperature quantum phase transition in the $N \go \infty$ limit, which we describe exactly in an effective Hamiltonian approach. We then numerically investigate the system at finite $N$ and, by analysing the level statistics, we demonstrate that the system undergoes a transition from quasi-integrability to quantum chaotic, and that this transition is caused by the precursors of the quantum phase-transition. Our considerations of the wavefunction indicate that this is connected with a delocalisation of the system and the emergence of macroscopic coherence. We also derive a semi-classical Dicke model, which exhibits analogues of all the important features of the quantum model, such as the phase transition and the concurrent onset of chaos.

Affiliated with

Also associated with

No associations

Rating

Chaos and the Quantum Phase Transition in the Dicke Model 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 Chaos and the Quantum Phase Transition in the Dicke Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chaos and the Quantum Phase Transition in the Dicke Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-497752