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Effective Hamiltonians, prethermalization, and slow energy absorption in periodically driven many-body systems

Huveneers, François; Abanin, Dmitry A.; De Roeck, Wojciech; Wen-Wei, Ho (2017), Effective Hamiltonians, prethermalization, and slow energy absorption in periodically driven many-body systems, Physical Review B : Condensed matter and materials physics, 95, 1, p. 10. 10.1103/PhysRevB.95.014112

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1510.03405.pdf (194.3Kb)
Type
Article accepté pour publication ou publié
Date
2017
Journal name
Physical Review B : Condensed matter and materials physics
Volume
95
Number
1
Pages
10
Publication identifier
10.1103/PhysRevB.95.014112
Metadata
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Author(s)
Huveneers, François

Abanin, Dmitry A.

De Roeck, Wojciech

Wen-Wei, Ho
Abstract (EN)
We establish some general dynamical properties of lattice many-body systems that are subject to a high-frequency periodic driving. We prove that such systems have a quasi-conserved extensive quantity H∗, which plays the role of an effective static Hamiltonian. The dynamics of the system (e.g., evolution of any local observable) is well-approximated by the evolution with the Hamiltonian H∗ up to time τ∗, which is exponentially long in the driving frequency. We further show that the energy absorption rate is exponentially small in the driving frequency. In cases where H∗ is ergodic, the driven system prethermalizes to a thermal state described by H∗ at intermediate times t≲τ∗, eventually heating up to an infinite-temperature state at times t∼τ∗. Our results indicate that rapidly driven many-body systems generically exhibit prethermalization and very slow heating. We briefly discuss implications for experiments which realize topological states by periodic driving.
Subjects / Keywords
Hamiltonian; many-body systems

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