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Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
Takashi Mori1, Tomotaka Kuwahara2, Keiji Saito3
1Department of Physics, Graduate School of Science, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan.
Physical Review Letters
|April 9, 2016
Summary
Isolated quantum systems subjected to periodic driving exhibit universal relaxation. Energy remains nearly constant, and an effective Hamiltonian is quasi-conserved, leading to prethermalization-like dynamics.
Area of Science:
- Quantum physics
- Statistical mechanics
- Condensed matter theory
Background:
- Isolated many-body quantum systems
- Periodic driving (Floquet engineering)
- Understanding relaxation dynamics
Purpose of the Study:
- Investigate universal relaxation in driven quantum systems
- Analyze long-term behavior under strong periodic driving
- Classify initial relaxation stages
Main Methods:
- Rigorous Floquet analysis
- Floquet-Magnus expansion
- Truncation of effective Hamiltonian
Main Results:
- Energy remains nearly constant for exponentially long times
- Effective Hamiltonian is a quasi-conserved quantity
- Initial relaxation exhibits prethermalization-like behavior
Conclusions:
- Universal relaxation observed in driven quantum systems
- Floquet-Magnus expansion provides insights into long-time dynamics
- Prethermalization is a general phenomenon in driven systems
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