Loschmidt echo and dynamical fidelity in periodically driven quantum systems (Articolo in rivista)

Type
Label
  • Loschmidt echo and dynamical fidelity in periodically driven quantum systems (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1209/0295-5075/106/67003 (literal)
Alternative label
  • Sharma, Shraddha; Russomanno, Angelo; Santoro, Giuseppe E.; Dutta, Amit (2014)
    Loschmidt echo and dynamical fidelity in periodically driven quantum systems
    in Europhysics letters (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Sharma, Shraddha; Russomanno, Angelo; Santoro, Giuseppe E.; Dutta, Amit (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 106 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 6 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 6 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Indian Institute of Technology (IIT); International School for Advanced Studies; Consiglio Nazionale delle Ricerche (CNR); Abdus Salam International Centre for Theoretical Physics (literal)
Titolo
  • Loschmidt echo and dynamical fidelity in periodically driven quantum systems (literal)
Abstract
  • We study the dynamical fidelity F(t) and the Loschmidt echo L(t), following a periodic driving of the transverse magnetic field of a quantum Ising chain (back and forth across the quantum critical point) by calculating the overlap between the initial ground state and the state reached after n periods tau. We show that [log F(n tau)]/L (the logarithm of the fidelity per site) reaches a steady value in the asymptotic limit n -> infinity, and we derive an exact analytical expression for this quantity. Remarkably, the steady-state value of [log F(n tau -> infinity)]/L shows memory of non-trivial phase information which is instead hidden in the case of thermodynamic quantities; this conclusion, moreover, is not restricted to 1-dimensional models. Copyright (C) EPLA, 2014 (literal)
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