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.
Observable signature of the Berezinskii-Kosterlitz-Thouless transition in a planar lattice of Bose-Einstein condensates / Trombettoni, A.; Smerzi, Augusto; Sodano, P.. - In: NEW JOURNAL OF PHYSICS. - ISSN 1367-2630. - 7:(2005). [10.1088/1367-2630/7/1/057]
Observable signature of the Berezinskii-Kosterlitz-Thouless transition in a planar lattice of Bose-Einstein condensates
Trombettoni, A.;Smerzi, Augusto;
2005-01-01
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.