Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems

Chenu, Aurélia; Molina-Vilaplana, Javier; del Campo, Adolfo

doi:10.22331/q-2019-03-04-127

Title: Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems

Journal Article · Mon Mar 04 00:00:00 EST 2019 · Quantum

DOI:https://doi.org/10.22331/q-2019-03-04-127· OSTI ID:1525836

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Donostia International Physics Center, San Sebastian (Spain); IKERBASQUE, Bilbao (Spain); Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Technical Univ. of Cartagena, Cartagena (Spain)
Donostia International Physics Center, San Sebastian (Spain); IKERBASQUE, Bilbao (Spain); Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Massachusetts, Boston, MA (United States)

Characterizing the work statistics of driven complex quantum systems is generally challenging because of the exponential growth with the system size of the number of transitions involved between different energy levels. We consider the quantum work distribution associated with the driving of chaotic quantum systems described by random matrix Hamiltonians and characterize exactly the work statistics associated with a sudden quench for arbitrary temperature and system size. Knowledge of the work statistics yields the Loschmidt echo dynamics of an entangled state between two copies of the system of interest, the thermofield double state. This echo dynamics is dictated by the spectral form factor. We discuss its relation to frame potentials and its use to assess information scrambling.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1525836

Report Number(s):: LA-UR-18-23369

Journal Information:: Quantum, Vol. 3; ISSN 2521-327X

Publisher:: Quantum Science Open CommunityCopyright Statement

Country of Publication:: United States

Language:: English

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