Chaos and the Quantum Phase Transition in the Dicke Model
| dc.creator | Emary, Clive | |
| dc.creator | Brandes, Tobias | |
| dc.date | 2003-01-15 | |
| dc.date.accessioned | 2026-07-07T12:38:19Z | |
| dc.date.available | 2026-07-07T12:38:19Z | |
| dc.description | 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. | |
| dc.description | 51 pages, 15 figures, latex | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0301273 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0301273 | |
| dc.identifier | Phys.Rev.E67:066203,2003 | |
| dc.identifier | doi:10.1103/PhysRevE.67.066203 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218716 | |
| dc.subject | Condensed Matter | |
| dc.title | Chaos and the Quantum Phase Transition in the Dicke Model | |
| dc.type | text |