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Thermalization of Bipartite Bose-Hubbard Models
Christine Khripkov1, Doron Cohen2, Amichay Vardi1
1Department of Chemistry, Ben-Gurion University , Beer-Sheva 84105, Israel.
We studied a Bose-Hubbard model far from equilibrium. Chaotic dynamics led to thermalization, while quasi-integrable regions prevented it, showing how chaos drives quantum system thermalization.
Area of Science:
- Quantum physics
- Statistical mechanics
- Condensed matter theory
Background:
- Bipartite Bose-Hubbard model systems are crucial for understanding quantum many-body dynamics.
- Investigating systems far from equilibrium is key to understanding thermalization and ergodization.
Purpose of the Study:
- To explore the time evolution of a bipartite Bose-Hubbard model prepared far from equilibrium.
- To determine the conditions under which thermalization and ergodization occur in such systems.
Main Methods:
- Numerical simulation of the time evolution of the bipartite Bose-Hubbard model.
- Analysis of number distribution and entanglement entropy.
- Comparison of dynamics in chaotic versus quasi-integrable phase space regions.
Main Results:
- In chaotic regimes, the number distribution ergodizes and entanglement entropy increases, saturating at thermal equilibrium values.
- In quasi-integrable regions, the system does not thermalize.
- The study highlights the role of classical chaos in driving quantum system thermalization.
Conclusions:
- Ergodization and thermalization in quantum systems are strongly dependent on the nature of the underlying classical dynamics.
- Chaotic classical dynamics facilitates the approach to thermal equilibrium in bipartite quantum systems.
- Quasi-integrable dynamics inhibits thermalization, preserving non-equilibrium properties.
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