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Condensed Matter > Statistical Mechanics
Title: Heating Rates under Fast Periodic Driving beyond Linear Response
(Submitted on 27 Jul 2021 (v1), last revised 28 Jan 2022 (this version, v2))
Abstract: Heating under periodic driving is a generic nonequilibrium phenomenon, and it is a challenging problem in nonequilibrium statistical physics to derive a quantitatively accurate heating rate. In this work, we provide a simple formula on the heating rate under fast and strong periodic driving in classical and quantum many-body systems. The key idea behind the formula is constructing a time-dependent dressed Hamiltonian by moving to a rotating frame, which is found by a truncation of the high-frequency expansion of the micromotion operator, and applying the linear-response theory. It is confirmed for specific classical and quantum models that the second-order truncation of the high-frequency expansion yields quantitatively accurate heating rates beyond the linear-response regime. Our result implies that the information on heating dynamics is encoded in the first few terms of the high-frequency expansion, although heating is often associated with an asymptotically divergent behavior of the high-frequency expansion.
Submission history
From: Takashi Mori [view email][v1] Tue, 27 Jul 2021 04:17:27 GMT (63kb,D)
[v2] Fri, 28 Jan 2022 14:38:00 GMT (64kb,D)
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