Spectral form factor for chaotic dynamics in a weak magnetic field

Keiji Saito; Taro Nagao

doi:10.1016/j.physleta.2005.12.027

Spectral form factor for chaotic dynamics in a weak magnetic field

Keiji Saito, Taro Nagao

Department of Physics

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

Using semiclassical periodic orbit theory for a chaotic system in a weak magnetic field, we obtain the form factor predicted by Pandey and Mehta's two matrix model up to the third order. The third order contribution has a peculiar term which exists only in the intermediate crossover domain between the GOE (Gaussian orthogonal ensemble) and the GUE (Gaussian unitary ensemble) universality classes. The exact expression is obtained by taking account of the contribution from encounter regions where orbit loops are connected.

Original language	English
Pages (from-to)	380-385
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	352
Issue number	4-5
DOIs	https://doi.org/10.1016/j.physleta.2005.12.027
Publication status	Published - 2006 Apr 3

Keywords

Periodic orbit theory
Quantum chaos
Random matrices

ASJC Scopus subject areas

Physics and Astronomy(all)

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AB - Using semiclassical periodic orbit theory for a chaotic system in a weak magnetic field, we obtain the form factor predicted by Pandey and Mehta's two matrix model up to the third order. The third order contribution has a peculiar term which exists only in the intermediate crossover domain between the GOE (Gaussian orthogonal ensemble) and the GUE (Gaussian unitary ensemble) universality classes. The exact expression is obtained by taking account of the contribution from encounter regions where orbit loops are connected.

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KW - Random matrices

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