Level statistics of a pseudo-Hermitian Dicke model

Details Level statistics of a pseudo-Hermitian Dicke model Level statistics of a pseudo-Hermitian Dicke model

2009-03-26

arxiv.org/abs/0903.4568v4

Physical Review E 80, 026213 (2009)

Physics

Quantum Physics

RevTeX 4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.80.026213

A non-Hermitian operator that is related to its adjoint through a similarity transformation is defined as a pseudo-Hermitian operator. We study the level-statistics of a pseudo-Hermitian Dicke Hamiltonian that undergoes Quantum Phase Transition (QPT). We find that the level-spacing distribution of this Hamiltonian near the integrable limit is close to Poisson distribution, while it is Wigner distribution for the ranges of the parameters for which the Hamiltonian is non-integrable. We show that the assertion in the context of the standard Dicke model that QPT is a precursor to a change in the level statistics is not valid in general.

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