Quantum Corrections to Fidelity Decay in Chaotic Systems

URN to cite this document:: urn:nbn:de:bvb:355-epub-130796

Gutkin, Boris ; Waltner, Daniel ; Gutierrez, Martha ; Kuipers, Jack ; Richter, Klaus

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Date of publication of this fulltext: 24 Feb 2010 17:20

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Abstract

By considering correlations between classical orbits we derive semiclassical expressions for the decay of the quantum fidelity amplitude for classically chaotic quantum systems, as well as for its squared modulus, the fidelity or Loschmidt echo. Our semiclassical results for the fidelity amplitude agree with random matrix theory (RMT) and supersymmetry predictions in the universal Fermi golden ...