Dynamical Universal Behavior in Quantum Chaotic Systems
arXiv:1007.2771 · doi:10.1002/lapl.201010144
Abstract
We discover numerically that a moving wave packet in a quantum chaotic billiard will always evolve into a quantum state, whose density probability distribution is exponential. This exponential distribution is found to be universal for quantum chaotic systems with rigorous proof. In contrast, for the corresponding classical system, the distribution is Gaussian. We find that the quantum exponential distribution can smoothly change to the classical Gaussian distribution with coarse graining.
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- Wannier basis method for KAM effect in quantum mechanics
- Self-Similarity Among Energy Eigenstates