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Symmetry breaking in quantum chaotic systems

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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.

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Authors and Affiliations

  1. School of Physical Sciences, Jawaharlal Nehru University, 110 067, New Delhi, India

    Akhilesh Pandey, Ramakrishna Ramaswamy & Pragya Shukla

Authors
  1. Akhilesh Pandey
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  2. Ramakrishna Ramaswamy
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  3. Pragya Shukla
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Pandey, A., Ramaswamy, R. & Shukla, P. Symmetry breaking in quantum chaotic systems. Pramana - J. Phys 41, L75–L81 (1993). https://doi.org/10.1007/BF02847320

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  • DOI: https://doi.org/10.1007/BF02847320

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