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

Chenu, Aurélia; Molina-Vilaplana, J.; Del Campo Echevarria, Adolfo

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

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


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Physics
	To cite this reference:	http://hdl.handle.net/10993/48855

Title :	Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems
Language :	English
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) >]
Publication date :	2019
Journal title :	Quantum
Publisher :	Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
Volume :	3
Pages :	127
Peer reviewed :	Yes
Audience :	International
e-ISSN :	2521-327X
Country :	Austria
Abstract :	[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.
Permalink :	http://hdl.handle.net/10993/48855
DOI :	10.22331/q-2019-03-04-127
Other URL :	https://quantum-journal.org/papers/q-2019-03-04-127/

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