Asymptotic symmetries in an optical lattice
Mathematical Physics
2009-11-11 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0510009,
title = {Asymptotic symmetries in an optical lattice},
author = {G. Gaeta},
journal= {arXiv preprint arXiv:math-ph/0510009},
year = {2009}
}