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Manifestation of Quantum Chaos in the Spectra of Quantum Well with Tilted Magnetic Field |
| LIU Bo;DAI Jian-hua;ZHANG Guang-cai;ZHANG Hong-jun |
| Laboratory of Optical Physics, Institute of Physics & Center for Condensed Matter Physics, Chinese Academy of Sciences, Beijing 100080 |
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| Cite this article: |
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LIU Bo, DAI Jian-hua, ZHANG Guang-cai et al 1999 Chin. Phys. Lett. 16 140-142 |
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Abstract Two statistical properties, the nearest neighbor energy level spacing distribution P( s ) and the spectral rigidity Δ3( L ), are reported for energy level of a quantum well in a tilted magnetic field. Time-reversal ( T ) symmetry is broken in the system. The system is invariant under the anti-unitary combination of symmetric operations which include T, leading to what is called false T-violation. With the increasing magnetic field, P(s) and Δ3( L ) change from Brody type-like distribution to the Gaussian orthogonal ensemble (GOE) distribution. This result is a clear manifestation of quantum chaos in the system and is in agreement with the prediction of which the false T-violation suffices to give the energy spectra the properties of the GOE, instead of the Gaussian unitary ensemble (GUE). The result indicates that the system translates from mixed-type state to quantum chaotic state. However, the spectral rigidity Δ3( L ) turns into GUE with the magnetic field increasing. The different demonstration of P( s ) and the Δ3(L) is due to the counting of only finite semi-classical orbits.
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| Keywords:
73.20.Dx
05.45.+b
73.40.Gk
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Published: 01 February 1999
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