[en] 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.
Disciplines :
Physics
Author, co-author :
Chenu, Aurélia ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Molina-Vilaplana, J.; Technical University of Cartagena
Del Campo Echevarria, Adolfo ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
External co-authors :
yes
Language :
English
Title :
Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems
Publication date :
2019
Journal title :
Quantum
ISSN :
2521-327X
Publisher :
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften, Austria