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Heating Rates in Periodically Driven Strongly Interacting Quantum Many-Body Systems
Krishnanand Mallayya1, Marcos Rigol1
1Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA.
Physical Review Letters
|January 11, 2020
Summary
We investigated heating rates in quantum lattice systems. Our findings show excellent agreement with Fermi
Area of Science:
- Quantum physics
- Condensed matter physics
- Statistical mechanics
Background:
- Understanding thermalization in quantum systems is crucial.
- Strongly interacting quantum lattice systems present unique challenges.
- The eigenstate thermalization hypothesis provides a theoretical framework.
Purpose of the Study:
- To investigate heating rates in strongly interacting quantum lattice systems.
- To explore the relationship between heating rates and theoretical predictions.
- To identify experimental probes for quantum system properties.
Main Methods:
- Numerical linked cluster expansion.
- Calculation of energy as a function of driving time.
- Analysis of heating rates in the thermodynamic limit.
Main Results:
- A robust exponential regime for energy increase was identified.
- Heating rates demonstrated excellent agreement with Fermi's golden rule.
- The study established a link between heating rates and off-diagonal matrix elements.
Conclusions:
- Heating rates can be experimentally probed by varying drive frequency.
- This method applies to both nonintegrable and integrable Hamiltonians.
- The findings offer insights into thermalization and quantum dynamics.
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