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Anomalous power law of quantum reversibility for classically regular dynamics

Jacquod, P. and Adagideli, Inanc and Beenakker, C. (2003) Anomalous power law of quantum reversibility for classically regular dynamics. Europhysics Letters 61, pp. 729-735.

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Other URL: http://www.edpsciences.org/10.1209/epl/i2003-00289-y


The Loschmidt Echo M(t) (defined as the squared overlap of wave packets evolving with two slightly different Hamiltonians) is a measure of quantum reversibility. We investigate its behavior for classically quasi-integrable systems. A dominant regime emerges where M(t) ${\approx}$ t^{-alpha} with alpha=3d/2 depending solely on the dimension d of the system. This power law decay is faster than the result ${\approx}$ t^{-d} for the decay of classical phase space densities.

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Item Type:Article
Identification Number:
quant-ph/0206160arXiv ID
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Dewey Decimal Classification:500 Science > 530 Physics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Deposited On:20 Mar 2007
Last Modified:16 Jan 2015 09:11
Item ID:1863
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