On Defect-Mediated Transitions in Bosonic Planar Lattices
A. Trombettoni, A. Smerzi, and P. Sodano

TL;DR
This paper investigates the finite-temperature behavior of Bose-Einstein condensates in 2D optical lattices, highlighting the BKT transition characterized by vortex unbinding and its experimental detection via interference patterns.
Contribution
It connects the physics of Bose-Einstein condensates in optical lattices with the XY model and provides experimental signatures of the BKT transition.
Findings
Observation of a sharp decrease in the zero-momentum component near the critical temperature
Identification of the BKT transition driven by vortex pair unbinding
Experimental signature via interference pattern analysis
Abstract
We discuss the finite-temperature properties of Bose-Einstein condensates loaded on a 2D optical lattice. In an experimentally attainable range of parameters the system is described by the XY model, which undergoes a Berezinskii-Kosterlitz-Thouless (BKT) transition driven by the vortex pair unbinding. The interference pattern of the expanding condensates provides the experimental signature of the BKT transition: near the critical temperature, the k=0 component of the momentum distribution sharply decreases.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Strong Light-Matter Interactions · Physics of Superconductivity and Magnetism
