Exponentially Slow Heating in Periodically Driven Many-Body Systems

Dmitry A. Abanin, Wojciech De Roeck, François Huveneers

Research output: Contribution to journalArticlepeer-review

296 Scopus citations


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.

Original languageEnglish (US)
Article number256803
JournalPhysical review letters
Issue number25
StatePublished - Dec 15 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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