Level statistics of a pseudo-Hermitian Dicke model

Tetsuo Deguchi, Pijush K. Ghosh, Kazue Kudo

研究成果: Article査読

17 被引用数 (Scopus)

抄録

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 nonintegrable. 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.

本文言語English
論文番号026213
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
80
2
DOI
出版ステータスPublished - 2009 8 20
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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