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Quantum chaos and operator fidelity metric

Source: Phys. Rev. E 81, 017203 (2010); doi:10.1103/PhysRevE.81.017203

Published 26 January 2010

PACS
  • 05.45.Mt
    Quantum chaos; semiclassical methods
  • 03.67.-a
    Quantum information
  • 64.70.Tg
    Quantum phase transitions
  • YEAR: 2010
PUBLICATION DATA
Publisher:
AIP is a member of CrossRef APS
Paolo Giorda1 and Paolo Zanardi1,2
1Institute for Scientific Interchange, Viale Settimio Severo 65, I-10133 Torino, Italy
2Department of Physics and Astronomy, Center for Quantum Information Science and Technology, University of Southern California, Los Angeles, California 90089-0484, USA
We show that the recently introduced operator fidelity metric provides a natural tool to investigate the crossover to quantum chaotic behavior. This metric is an information-theoretic measure of the global stability of a unitary evolution against perturbations. We use random matrix theory arguments to conjecture that the operator fidelity metric can be used to discriminate phases with regular behavior from quantum chaotic ones. A numerical study of the onset of chaotic in the Dicke model is given in order to support the conjecture. ©2010 The American Physical Society
History: Received 6 March 2009; published 26 January 2010
Permalink: http://link.aps.org/abstract/PRE/v81/e017203
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