Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model

Details Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model

2002-07-11

arxiv.org/abs/cond-mat/0207290v3

Phys.Rev.Lett.90:044101,2003

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 5 figures, minor changes, Journal ref. added

Scientific paper

10.1103/PhysRevLett.90.044101

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.

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