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Wave packet dynamics in energy space, random matrix theory, and the quantum-classical correspondence
1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.
Physical Review Letters
|October 4, 2000
Summary
Random-matrix theory (RMT) analyzes wave packet evolution in energy space, exploring ballistic, diffusive, and localized behaviors. Our findings suggest intermediate diffusion may be an artifact of the RMT approach.
Area of Science:
- Quantum mechanics
- Statistical physics
Background:
- Wave packet dynamics in energy space are crucial for understanding quantum systems.
- Random-matrix theory (RMT) is a tool for analyzing complex quantum behavior.
Purpose of the Study:
- To investigate wave packet evolution in energy space using RMT.
- To examine the crossover from ballistic to saturated behavior.
- To assess the possibility of intermediate diffusion and strong localization.
Main Methods:
- Application of random-matrix theory (RMT).
- Theoretical analysis.
- Numerical simulations.
- Quantal-classical correspondence considerations.
Main Results:
- Observed crossover from ballistic behavior to saturation.
- Investigated potential for intermediate diffusive behavior and strong localization.
- Quantal-classical correspondence raises questions about the dynamical picture.
Conclusions:
- The intermediate diffusive behavior observed might be an artifact of the RMT methodology.
- Rethinking the interpretation of RMT results in wave packet dynamics is necessary.
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