TY - JOUR

T1 - Spectral form factor for chaotic dynamics in a weak magnetic field

AU - Saito, Keiji

AU - Nagao, Taro

N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

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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U2 - 10.1016/j.physleta.2005.12.027

DO - 10.1016/j.physleta.2005.12.027

M3 - Article

AN - SCOPUS:33644982811

VL - 352

SP - 380

EP - 385

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

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

SN - 0375-9601

IS - 4-5

ER -