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Semiclassical theory of strong localization for quantum thermalization
Christine Khripkov1, Amichay Vardi1, Doron Cohen2
1Department of Chemistry, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.
Physical Review. E
|March 18, 2018
Summary
We present a semiclassical theory for strong localization in many-body thermalization. This theory uses a Bose-Hubbard model to predict quantum breaktime and localization effects from classical dynamics.
Area of Science:
- Quantum physics
- Statistical mechanics
- Condensed matter theory
Background:
- Many-body thermalization describes how isolated quantum systems reach equilibrium.
- Strong localization can prevent thermalization, trapping systems in non-equilibrium states.
Purpose of the Study:
- To develop a semiclassical theory for strong localization in thermalizing systems.
- To connect classical Fokker-Planck dynamics to quantum localization phenomena.
Main Methods:
- Utilized a minimal Bose-Hubbard model with two interacting subsystems.
- Analyzed the Fokker-Planck equation governing subsystem occupation.
- Incorporated energy shell geometry and phase-space exploration concepts.
Main Results:
- Derived a quantum breaktime (t*) from the classical description.
- Demonstrated the emergence of strong localization effects.
- Showcased the link between classical diffusion and quantum localization.
Conclusions:
- Semiclassical theory can capture strong localization in thermalizing quantum systems.
- Classical dynamics, when analyzed carefully, can predict quantum phenomena like localization.
- Energy shell geometry is crucial for understanding phase-space exploration and localization.
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