Journal
PHYSICAL REVIEW LETTERS
Volume 115, Issue 25, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.115.256803
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Funding
- Alfred Sloan Foundation
- DFG (German Research Fund)
- Belgian Interuniversity Attraction Pole [P07/18 Dygest]
- ANR grant JCJC
- CNRS INPHYNITI (MaBoLo) grant
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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.
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