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

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
Externally published	Yes

Keywords

Periodic orbit theory
Quantum chaos
Random matrices

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/j.physleta.2005.12.027

Cite this

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title = "Spectral form factor for chaotic dynamics in a weak magnetic field",

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.",

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AU - Nagao, Taro

PY - 2006/4/3

Y1 - 2006/4/3

N2 - 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.

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.

KW - Periodic orbit theory

KW - Quantum chaos

KW - Random matrices

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4-5

ER -

Spectral form factor for chaotic dynamics in a weak magnetic field

Abstract

Keywords

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