Distribution of the spacing between two adjacent avoided crossings

Manabu MacHida, Keiji Saito

研究成果: Article査読

2 被引用数 (Scopus)

抄録

We consider the frequency at which avoided crossings appear in an energy-level structure when an external field is applied to a quantum chaotic system. The distribution of the spacing in the parameter between two adjacent avoided crossings is investigated. Using a random matrix model, we find that the distribution of these spacings is well fitted by a power-law distribution for small spacings. The powers are 2 and 3 for the Gaussian orthogonal ensemble and Gaussian unitary ensemble, respectively. We also find that the distributions decay exponentially for large spacings. The distributions in concrete quantum chaotic systems agree with those of the random matrix model.

本文言語English
論文番号056206
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
72
5
DOI
出版ステータスPublished - 2005 11
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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