Decay of the Loschmidt Echo for quantum states with sub-Planck scale structures

Ph. Jacquod; I. Adagideli; C. W. J. Beenakker

doi:10.1103/PhysRevLett.89.154103

Decay of the Loschmidt Echo for quantum states with sub-Planck scale structures

Chaotic Dynamics 2007-05-23 v2 Condensed Matter Quantum Physics

Authors: Ph. Jacquod , I. Adagideli , C. W. J. Beenakker

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Abstract

Quantum states extended over a large volume in phase space have oscillations from quantum interferences in their Wigner distribution on scales smaller than $\hbar$ [W.H. Zurek, Nature {\bf 412}, 712 (2001)]. We investigate the influence of those sub-Planck scale structures on the sensitivity to an external perturbation of the state's 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.

Keywords

loschmidt echo sub-planck scale wigner distribution quantum interference lyapunov exponent marangoni convection

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@article{arxiv.nlin/0203052,
  title  = {Decay of the Loschmidt Echo for quantum states with sub-Planck scale structures},
  author = {Ph. Jacquod and I. Adagideli and C. W. J. Beenakker},
  journal= {arXiv preprint arXiv:nlin/0203052},
  year   = {2007}
}

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4 pages, 2 figures; accepted for publication in Physical Review Letters

Decay of the Loschmidt Echo for quantum states with sub-Planck scale structures

Abstract

Keywords

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