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dc.contributor.authorAbanin, Dmitry A.*
dc.contributor.authorDe Roeck, Wojciech*
dc.contributor.authorHo, Wen Wei*
dc.contributor.authorHuveneers, François*
dc.date.accessioned2019-01-14T12:32:51Z
dc.date.available2019-01-14T12:32:51Z
dc.date.issued2017
dc.identifier.issn0010-3616
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18375
dc.language.isoenen
dc.subjectPrethermalizationen
dc.subjectQuantum Systemsen
dc.subject.ddc515en
dc.titleA Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systemsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenPrethermalization refers to the transient phenomenon where a system thermalizes according to a Hamiltonian that is not the generator of its evolution. We provide here a rigorous framework for quantum spin systems where prethermalization is exhibited for very long times. First, we consider quantum spin systems under periodic driving at high frequency ν. We prove that up to a quasi-exponential time τ∗∼ecνlog3ν, the system barely absorbs energy. Instead, there is an effective local Hamiltonian Dˆ that governs the time evolution up to τ∗, and hence this effective Hamiltonian is a conserved quantity up to τ∗. Next, we consider systems without driving, but with a separation of energy scales in the Hamiltonian. A prime example is the Fermi–Hubbard model where the interaction U is much larger than the hopping J. Also here we prove the emergence of an effective conserved quantity, different from the Hamiltonian, up to a time τ∗ that is (almost) exponential in U/J.en
dc.relation.isversionofjnlnameCommunications in Mathematical Physics
dc.relation.isversionofjnlvol354en
dc.relation.isversionofjnlissue3en
dc.relation.isversionofjnldate2017-09
dc.relation.isversionofjnlpages809 - 827en
dc.relation.isversionofdoi10.1007/s00220-017-2930-xen
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2019-01-14T12:26:34Z
hal.person.labIds10646*
hal.person.labIds36200$$$265706*
hal.person.labIds10646*
hal.person.labIds60*


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