Fermi's golden rule for heating in strongly driven Floquet systems
- URL: http://arxiv.org/abs/2105.02228v2
- Date: Thu, 14 Oct 2021 00:10:32 GMT
- Title: Fermi's golden rule for heating in strongly driven Floquet systems
- Authors: Tatsuhiko N. Ikeda, Anatoli Polkovnikov
- Abstract summary: We study heating dynamics in isolated quantum many-body systems driven periodically at high frequency and large amplitude.
Our results indicate that, during heating, the system approximately stays in the thermal state for the Floquet Hamiltonian with a gradually rising temperature.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study heating dynamics in isolated quantum many-body systems driven
periodically at high frequency and large amplitude. Combining the
high-frequency expansion for the Floquet Hamiltonian with Fermi's golden rule
(FGR), we develop a master equation termed the Floquet FGR. Unlike the
conventional one, the Floquet FGR correctly describes heating dynamics,
including the prethermalization regime, even for strong drives, under which the
Floquet Hamiltonian is significantly dressed, and nontrivial Floquet
engineering is present. The Floquet FGR depends on system size only weakly,
enabling us to analyze the thermodynamic limit with small-system calculations.
Our results also indicate that, during heating, the system approximately stays
in the thermal state for the Floquet Hamiltonian with a gradually rising
temperature.
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