Level statistics of a pseudo-Hermitian Dicke model
Quantum Physics
2009-11-06 v4 Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.0903.4568,
title = {Level statistics of a pseudo-Hermitian Dicke model},
author = {Tetsuo Deguchi and Pijush K. Ghosh and Kazue Kudo},
journal= {arXiv preprint arXiv:0903.4568},
year = {2009}
}
Comments
RevTeX 4 pages, 3 figures