Journal
NEW JOURNAL OF PHYSICS
Volume 7, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/7/1/057
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We investigate the possibility that Bose-Einstein condensates, loaded on a 2D optical lattice, undergo - at finite temperature - a Berezinskii - Kosterlitz - Thouless transition. We show that - in an experimentally attainable range of parameters - a planar lattice of Bose - Einstein condensates is described by the XY model at finite temperature. We demonstrate that the interference pattern of the expanding condensates provides the experimental signature of the Berezinskii Kosterlitz - Thouless transition by showing that, near the critical temperature, the (k) over right arrow = 0 component of the momentum distribution and the central peak of the atomic density profile sharply decrease. The finite-temperature transition for a 3D optical lattice is also discussed in this paper, and analogies with superconducting Josephson junction networks are stressed throughout the text.
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