Fluctuations of expectation values in chaotic systems and broken time-reversal symmetry |
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Authors: | Bernard Mehlig Nobuhiko Taniguchi |
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Institution: | a Department, of Theoretical Physics, University of Oxford, 1 Keblre Road, Oxford, UK;b Department of Physical Electronics, Hiroshima University, Kagamiyama, Higashi-Hiroshima 739, Japan |
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Abstract: | Fluctuations of expectation values of observables are calculated in complex quantum systems, such as disordered metallic grains or quantum systems with classical chaotic motion. We derive an exact expression for these fluctuations valid for systems with and without time-reversal symmetry, as well as in the transition region between these two cases. We compare our results with those of a semiclassical theory and with simulations of random matrices. |
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Keywords: | Chaotic systems Quantum systems Time-reversal symmetry |
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