Record statistics in random vectors and quantum chaos release_damxncxtqrhgtloqziy373s354

by Shashi C. L. Srivastava, Arul Lakshminarayan, Sudhir R. Jain

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The record statistics of complex random states are analytically calculated, and shown that the probability of a record intensity is a Bernoulli process. The correlation due to normalization leads to a probability distribution of the records that is non-universal but tends to the Gumbel distribution asymptotically. The quantum standard map is used to study these statistics for the effect of correlations apart from normalization. It is seen that in the mixed phase space regime the number of intensity records is a power law in the dimensionality of the state as opposed to the logarithmic growth for random states.
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Type  article
Stage   accepted
Date   2013-02-12
Version   v3
Language   en ?
arXiv  1205.0698v3
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