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Onset of quantum thermalization in the Jahn-Teller model
Yoana R Chorbadzhiyska1, Peter A Ivanov1
1Center for Quantum Technologies, Department of Physics, <a href="https://ror.org/02jv3k292">St. Kliment Ohridski University of Sofia</a>, James Bourchier 5 Boulevard, 1164 Sofia, Bulgaria.
Physical Review. E
|November 20, 2024
Summary
We studied quantum thermalization in the Jahn-Teller model. This model shows a quantum phase transition and supports the eigenstate thermalization hypothesis, with spin observable approaching its average value.
Area of Science:
- Quantum mechanics
- Condensed matter physics
- Quantum information
Background:
- The Jahn-Teller Hamiltonian models interactions between spins and bosonic modes.
- Understanding quantum thermalization is crucial for quantum systems.
Purpose of the Study:
- Investigate quantum thermalization onset in the Jahn-Teller model.
- Examine finite-size quantum phase transitions.
- Test the eigenstate thermalization hypothesis predictions.
Main Methods:
- Analysis of the Jahn-Teller Hamiltonian.
- Numerical simulations of spin-boson interactions.
- Calculation of observable expectation values and fluctuations.
Main Results:
- Identified a quantum phase transition to super-radiant phases.
- Confirmed that spin observable expectation values rapidly reach their long-time average.
- Demonstrated that the diagonal ensemble average approaches the microcanonical ensemble average.
- Observed small mean time fluctuations inversely proportional to system dimension.
Conclusions:
- The Jahn-Teller model exhibits rich quantum phenomena, including phase transitions and thermalization.
- The system supports the eigenstate thermalization hypothesis.
- System parameters influence thermalization dynamics and fluctuations.
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