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Exponentially Slow Heating in Periodically Driven Many-Body Systems

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Date
2015
Link to item file
https://arxiv.org/abs/1507.01474v2
Dewey
Sciences connexes (physique, astrophysique)
Sujet
Statistical mechanics
Journal issue
Physical Review Letters
Volume
115
Number
25
Publication date
2015
Article pages
n°256803
Publisher
American Physical Society
DOI
http://dx.doi.org/10.1103/PhysRevLett.115.256803
URI
https://basepub.dauphine.fr/handle/123456789/16366
Collections
  • CEREMADE : Publications
Metadata
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Author
Abanin, Dmitry A.
De Roeck, Wojciech
Huveneers, François
Type
Article accepté pour publication ou publié
Abstract (EN)
We derive general bounds on the linear response energy absorption rates of periodically driven many-body systems of spins or fermions on a lattice. We show that, for systems with local interactions, the energy absorption rate decays exponentially as a function of driving frequency in any number of spatial dimensions. These results imply that topological many-body states in periodically driven systems, although generally metastable, can have very long lifetimes. We discuss applications to other problems, including the decay of highly energetic excitations in cold atomic and solid-state systems.

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