Phys. Rev. A 72, 033419 (2005) [3 pages]Asymptotic symmetries in an optical latticeReceived 6 April 2005; published 30 September 2005 It was recently remarked by Lutz Phys. Rev. A 67 051402 (2003)] that the equation for the marginal Wigner distribution in an optical lattice admits a scale-free distribution corresponding to Tsallis statistics. Here we show that this distribution is invariant under an asymptotic symmetry of the equation and hence that this scale-free behavior can be understood in terms of symmetry analysis. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.033419
DOI:
10.1103/PhysRevA.72.033419
PACS:
32.80.Pj, 42.50.Vk
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