Jacquod, . and Adagideli, Inanc and Beenakker, C. (2002) Decay of the Loschmidt Echo for quantum states with sub-Planck scale structures. Physical Review Letters 89, p. 154103.
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Quantum states extended over a large volume in phase space have oscillations from quantum interferences in their Wigner distribution on scales smaller than [W.H. Zurek, Nature , 712 (2001)]. We investigate the influence of those sub-Planck scale structures on the sensitivity to an external perturbation of the states time evolution. While we do find an accelerated decay of the Loschmidt Echo for an extended state in comparison to a localized wavepacket, the acceleration is described entirely by the classical Lyapunov exponent and hence cannot originate from quantum interference.
|Subjects:||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:||05 Aug 2009 13:33|