Anomalous diffusion and Tsallis statistics in an optical lattice
Journal Article
·
· Physical Review. A
- Sloane Physics Laboratory, Yale University, P.O. Box 208120, New Haven, Connecticut 06520-8120 (United States)
We point out a connection between anomalous transport in an optical lattice and Tsallis' generalized statistics. Specifically, we show that the momentum equation for the semiclassical Wigner function which describes atomic motion in the optical potential, belongs to a class of transport equations recently studied by Borland [Phys. Lett. A 245, 67 (1998)]. The important property of these ordinary linear Fokker-Planck equations is that their stationary solutions are exactly given by Tsallis distributions. An analytical expression of the Tsallis index q in terms of the microscopic parameters of the quantum-optical problem is given and the spatial coherence of the atomic wave packets is discussed.
- OSTI ID:
- 20636334
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 67; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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