Surprising relations between parametric level correlations and fidelity decay
Por:
Kohler H., Smolyarenko I.E., Pineda C., Guhr T., Leyvraz F., Seligman T.H.
Publicada:
16 may 2008
Categoría:
Physics and Astronomy (miscellaneous)
Resumen:
Relations among fidelity, cross-form-factor (i.e., parametric level correlations), and level velocity correlations are found both by deriving a Ward identity in a two-matrix model and by comparing exact results, using supersymmetry techniques, in the framework of random matrix theory. A power law decay near Heisenberg time, as a function of the relevant parameter, is shown to be at the root of revivals recently discovered for fidelity decay. For cross-form-factors the revivals are illustrated by a numerical study of a multiply kicked Ising spin chain.
Filiaciones:
Kohler H.:
Fachbereich Physik, Universität Duisburg-Essen, D-47057 Duisburg, Germany
Smolyarenko I.E.:
School of Information Systems, Computing and Mathematics, Brunel University, Uxbridge UB8 3PH, United Kingdom
Pineda C.:
Univ Nacl Autonoma Mexico, Inst Ciencias Fis, Cuernavaca 62191, Morelos, Mexico
Guhr T.:
Fachbereich Physik, Universität Duisburg-Essen, D-47057 Duisburg, Germany
Leyvraz F.:
Univ Nacl Autonoma Mexico, Inst Ciencias Fis, Cuernavaca 62191, Morelos, Mexico
Seligman T.H.:
Univ Nacl Autonoma Mexico, Inst Ciencias Fis, Cuernavaca 62191, Morelos, Mexico
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