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Lifetime statistics for a Bloch particle in ac and dc fields.
M Glück1, A R Kolovsky, H J Korsch
1Fachbereich Physik, Universität Kaiserslautern, D-67653 Kaiserslautern, Germany.
We studied quantum chaos in Bloch particles subjected to AC and DC fields. Rescaled Wigner delay time and resonance width distributions exhibit universal behavior consistent with random matrix theory.
Area of Science:
- Quantum physics
- Condensed matter physics
- Chaos theory
Background:
- Quantum chaos describes the behavior of quantum systems with classical chaotic dynamics.
- Bloch particles in external fields are a model system for studying quantum transport and chaos.
- Wigner delay time and resonance width are key statistical measures in scattering theory.
Purpose of the Study:
- To investigate the statistical properties of Wigner delay time and resonance width.
- To explore these properties for a Bloch particle in combined AC and DC fields.
- To determine if these distributions exhibit universal behavior in the quantum chaos regime.
Main Methods:
- Theoretical analysis of a Bloch particle model.
- Application of quantum scattering theory.
- Statistical analysis of Wigner delay time and resonance width distributions.
- Comparison with predictions from random matrix theory.
Main Results:
- The distributions of Wigner delay time and resonance width were analyzed.
- These quantities were studied for a Bloch particle under AC and DC fields.
- After rescaling, the distributions showed a universal character.
Conclusions:
- The statistical distributions of Wigner delay time and resonance width for a Bloch particle in AC and DC fields are universal.
- This universality aligns with predictions from the random matrix theory of chaotic scattering.
- The findings provide insights into quantum chaos in condensed matter systems.
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