Exponentially Slow Heating in Periodically Driven Many-Body Systems.

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.

• Publication year

  2015

• Venue

  Physical Review Letters

• Publication date

  2015-07-06

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.115.256803arXiv 1507.01474PMID 26722939
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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