Asymptotic symmetries in an optical lattice

Details Asymptotic symmetries in an optical lattice Asymptotic symmetries in an optical lattice

2005-10-02

arxiv.org/abs/math-ph/0510009v1

Phys. Rev. A 72 (2005), 033419

Physics

Mathematical Physics

Scientific paper

10.1103/PhysRevA.72.033419

It was recently remarked by Lutz [{\it Phys. Rev. A} {\bf 67} (2003), 051402(R)] 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, hence that this scale-free behavior can be understood in terms of symmetry analysis.

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