Statistical properties of spectral fluctuations for a quantum system with infinitely many components

H. Makino, N. Minami, S. Tasaki

研究成果: Article査読

4 被引用数 (Scopus)

抄録

Extending the idea formulated in Makino [Phys. Rev. E 67, 066205 (2003)], that is based on the Berry-Robnik approach, we investigate the statistical properties of a two-point spectral correlation for a classically integrable quantum system. The eigenenergy sequence of this system is regarded as a superposition of infinitely many independent components in the semiclassical limit. We derive the level number variance (LNV) in the limit of infinitely many components and discuss its deviations from Poisson statistics. The slope of the limiting LNV is found to be larger than that of Poisson statistics when the individual components have a certain accumulation. This property agrees with the result from the semiclassical periodic-orbit theory that is applied to a system with degenerate torus actions.

本文言語English
論文番号036201
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
79
3
DOI
出版ステータスPublished - 2009 3 3

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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