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Phys. Rev. A 72, 033419 (2005) [3 pages]

Asymptotic symmetries in an optical lattice

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Giuseppe Gaeta *
Dipartimento di Matematica, Università di Milano, via Saldini 50, I-20133 Milano, Italy

Received 6 April 2005; published 30 September 2005

It was recently remarked by Lutz [Phys. Rev. A 67, 051402(R) (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

* Electronic address: gaeta@mat.unimi.it

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