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Fluctuations in Quantum Expectation Values for Chaotic Systems with Broken Time-Reversal Symmetry

de Carvalho, T.O.; Keating, J.P.; Robbins, J.M.


Keyword(s): quantum chaology; spectral statistics; time-reversal symmetry; matrix elements

Abstract: The semiclassical analysis of Eckhardt et al for the variance of quantum expectation values in classically chaotic systems is extended to obtain the transitional form as time-reversal symmetry is gradually broken. Numerical results for a family of perturbed cat maps confirm this analysis, including the halving of the variance as time-reversal symmetry is fully broken.

15 Pages

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