Pramana

, Volume 41, Issue 1, pp L75–L81

Symmetry breaking in quantum chaotic systems

  • Akhilesh Pandey
  • Ramakrishna Ramaswamy
  • Pragya Shukla
Rapid Communication

Abstract

We show, using semiclassical methods, that as a symmetry is broken, the transition between universality classes for the spectral correlations of quantum chaotic systems is governed by the same parametrization as in the theory of random matrices. The theory is quantitatively verified for the kicked rotor quantum map. We also provide an explicit substantiation of the random matrix hypothesis, namely that in the symmetry-adapted basis the symmetry-violating operator is random.

Keywords

Quantum chaos symmetry breaking intermediate ensembles 

PACS Nos

05.45 03.65 24.60 

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Copyright information

© the Indian Academy of Sciences 1993

Authors and Affiliations

  • Akhilesh Pandey
    • 1
  • Ramakrishna Ramaswamy
    • 1
  • Pragya Shukla
    • 1
  1. 1.School of Physical SciencesJawaharlal Nehru UniversityNew DelhiIndia

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