title: Exponentially Slow Heating in Periodically Driven Many-Body Systems.
abstract: 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.
authors.affiliation: Department of Theoretical Physics, University of Geneva, 1211 Genève 4, Switzerland.
authors.forename: Dmitry A
authors.initials: DA
authors.lastname: Abanin
authors.affiliation: Instituut voor Theoretische Fysica, KU 3001 Leuven, Belgium.
authors.forename: Wojciech
authors.initials: W
authors.lastname: De Roeck
authors.affiliation: CEREMADE, Universite Paris-Dauphine, 75775 Paris Cedex 16, France.
authors.forename: François
authors.initials: F
authors.lastname: Huveneers