---
res:
  bibo_abstract:
  - The Loschmidt echo, defined as the overlap between quantum wave function evolved
    with different Hamiltonians, quantifies the sensitivity of quantum dynamics to
    perturbations and is often used as a probe of quantum chaos. In this work we consider
    the behavior of the Loschmidt echo in the many-body localized phase, which is
    characterized by emergent local integrals of motion and provides a generic example
    of nonergodic dynamics. We demonstrate that the fluctuations of the Loschmidt
    echo decay as a power law in time in the many-body localized phase, in contrast
    to the exponential decay in few-body ergodic systems. We consider the spin-echo
    generalization of the Loschmidt echo and argue that the corresponding correlation
    function saturates to a finite value in localized systems. Slow, power-law decay
    of fluctuations of such spin-echo-type overlap is related to the operator spreading
    and is present only in the many-body localized phase, but not in a noninteracting
    Anderson insulator. While most of the previously considered probes of dephasing
    dynamics could be understood by approximating physical spin operators with local
    integrals of motion, the Loschmidt echo and its generalizations crucially depend
    on the full expansion of the physical operators via local integrals of motion
    operators, as well as operators which flip local integrals of motion. Hence these
    probes allow one to get insights into the relation between physical operators
    and local integrals of motion and access the operator spreading in the many-body
    localized phase.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Maksym
      foaf_name: Serbyn, Maksym
      foaf_surname: Serbyn
      foaf_workInfoHomepage: http://www.librecat.org/personId=47809E7E-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-2399-5827
  - foaf_Person:
      foaf_givenName: Dimitry
      foaf_name: Abanin, Dimitry
      foaf_surname: Abanin
  bibo_doi: 10.1103/PhysRevB.96.014202
  bibo_issue: '1'
  bibo_volume: 96
  dct_date: 2017^xs_gYear
  dct_language: eng
  dct_publisher: American Physical Society@
  dct_title: Loschmidt echo in many body localized phases@
...