Heating Rates under Fast Periodic Driving beyond Linear Response
- URL: http://arxiv.org/abs/2107.12587v2
- Date: Fri, 28 Jan 2022 14:38:00 GMT
- Title: Heating Rates under Fast Periodic Driving beyond Linear Response
- Authors: Takashi Mori
- Abstract summary: We provide a formula on the heating rate under fast and strong periodic driving in classical and quantum many-body systems.
It is confirmed for specific classical and quantum models that the second-order truncation of the high-frequency expansion yields quantitatively accurate heating rates.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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