Spectral form factor for chaotic dynamics in a weak magnetic field

Keiji Saitou, Taro Nagao

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)380-385
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume352
Issue number4-5
DOIs
Publication statusPublished - 2006 Apr 3
Externally publishedYes

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form factors
orbits
magnetic fields
encounters
crossovers
matrices

Keywords

  • Periodic orbit theory
  • Quantum chaos
  • Random matrices

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Spectral form factor for chaotic dynamics in a weak magnetic field. / Saitou, Keiji; Nagao, Taro.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 352, No. 4-5, 03.04.2006, p. 380-385.

Research output: Contribution to journalArticle

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