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Exponentially Slow Heating in Periodically Driven Many-Body Systems

Abanin, Dmitry A.; De Roeck, Wojciech; Huveneers, François (2015), Exponentially Slow Heating in Periodically Driven Many-Body Systems, Physical Review Letters, 115, 25, p. n°256803. 10.1103/PhysRevLett.115.256803

Type
Article accepté pour publication ou publié
External document link
https://arxiv.org/abs/1507.01474v2
Date
2015
Journal name
Physical Review Letters
Volume
115
Number
25
Publisher
American Physical Society
Pages
n°256803
Publication identifier
10.1103/PhysRevLett.115.256803
Metadata
Show full item record
Author(s)
Abanin, Dmitry A.

De Roeck, Wojciech

Huveneers, François
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.
Subjects / Keywords
Statistical mechanics

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