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

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

Clive Emary
(
- UMIST, Manchester
)
,
Tobias Brandes
(
- UMIST, Manchester
)

2003

4 pages

Published in:

Phys.Rev.Lett. 90 (2003) 044101

e-Print:

cond-mat/0207290 [cond-mat.mes-hall]

DOI:

10.1103/PhysRevLett.90.044101

View in:

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Abstract: (arXiv)

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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