Universal level-spacing distribution in quantum systems
arXiv:nlin/0310034 · doi:10.1016/j.physleta.2006.10.065
Abstract
Classical counterparts of a great variety of quantum systems, from atomic physics to quantum wells and quantum dots, to optical, microwave, and acoustic resonators exhibit partially chaotic dynamics. Since it is often impossible to measure the temporal dynamics in qunatum systems, the main and probably the most dramatic manifestation of classical chaos in their phase space is seen in the distribution of spacing between the neighboring energy levels. While the mechanism leading to the onset of chaotic dynamics is different in every system, the level spacing distribution obeys the universal law, changing from Poissonian in the completely integrable systems to Wigner in completely chaotic ones.
4 figures; submitted to Nature
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- Exact treatment of planar two-electron quantum dots: effects of anharmonicity on the complexity
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- Fractal Universality in Near-Threshold Magnetic Lanthanide Dimers
- Consequences of Flooding on Spectral Statistics
- Dynamical Chaos and Level Splitting under the Channeling of the High Energy Positrons in [100] Direction of the Silicon Crystal
- Mixed (Regular and Chaotic) Dynamics under the Channeling of the High Energy Positrons in [100] Direction of the Silicon Crystal and Podolskiy-Narimanov Distribution