Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
Mesoscale and Nanoscale Physics
2009-03-24 v3 Disordered Systems and Neural Networks
Quantum Physics
Abstract
We consider the Dicke Hamiltonian, a simple quantum-optical model which exhibits a zero-temperature quantum phase transition. We present numerical results demonstrating that at this transition the system changes from being quasi-integrable to quantum chaotic. By deriving an exact solution in the thermodynamic limit we relate this phenomenon to a localisation-delocalisation transition in which a macroscopic superposition is generated. We also describe the classical analogues of this behaviour.
Keywords
Cite
@article{arxiv.cond-mat/0207290,
title = {Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model},
author = {C. Emary and T. Brandes},
journal= {arXiv preprint arXiv:cond-mat/0207290},
year = {2009}
}
Comments
4 pages, 5 figures, minor changes, Journal ref. added