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Phys. Rev. E 73, 066120 (2006) [6 pages]

Verification of generic fidelity recovery in a dynamical system

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Carlos Pineda1,2,*, Rudi Schäfer3, Tomaž Prosen4, and Thomas Seligman2,5
1Instituto de Física, UNAM, México D.F., México
2Centro de Ciencias Físicas, UNAM, Cuernavaca, México
3Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany
4Physics Department, Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia
5Centro Internacional de Ciencias, Cuernavaca, México

Received 28 February 2006; published 15 June 2006

We study the time evolution of fidelity in a dynamical many-body system, namely, a kicked Ising model, modified to allow for a time-reversal invariance breaking. We find good agreement with the random matrix predictions in the realm of strong perturbations. In particular for the time-reversal symmetry breaking case the predicted revival at the Heisenberg time is clearly seen.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.73.066120
DOI:
10.1103/PhysRevE.73.066120
PACS:
05.30.-d, 03.65.Yz, 03.67.Mn, 03.65.Ud

*Electronic address: carlospgmat03@yahoo.com