Exponentially Slow Heating in Periodically Driven Many-Body Systems

Abanin, Dmitry A.; De Roeck, Wojciech; Huveneers, François

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

Publisher

American Physical Society

Pages

n°256803

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