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Heating and many-body resonances in a periodically driven two-band system

Author(s): Bukov, Marin; Heyl, Markus; Huse, David A; Polkovnikov, Anatoli

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Abstract: We study the dynamics and stability in a strongly interacting resonantly driven two-band model. Using exact numerical simulations, we find a stable regime at large driving frequencies where the time evolution is governed by a local Floquet Hamiltonian that is approximately conserved out to very long times. For slow driving, on the other hand, the system becomes unstable and heats up to infinite temperature. While thermalization is relatively fast in these two regimes (but to different “temperatures”), in the crossover between them we find slow nonthermalizing time evolution: temporal fluctuations become strong and temporal correlations long lived. Microscopically, we trace back the origin of this nonthermalizing time evolution to the properties of rare Floquet many-body resonances, whose proliferation at lower driving frequency removes the approximate energy conservation, and thus produces thermalization to infinite temperature.
Publication Date: Apr-2016
Electronic Publication Date: 18-Apr-2016
Citation: Bukov, Marin, Heyl, Markus, Huse, David A, Polkovnikov, Anatoli. (2016). Heating and many-body resonances in a periodically driven two-band system. Physical Review B, 93 (15), 10.1103/PhysRevB.93.155132
DOI: doi:10.1103/PhysRevB.93.155132
ISSN: 2469-9950
EISSN: 2469-9969
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review B
Version: Author's manuscript

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