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Finite-Temperature Renormalization Group Analysis of Interaction Effects in 2D Lattices of Bose-Einstein Condensates

A. Smerzi·P. Sodano·A. Trombettoni
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Abstract

By using a renormalization group analysis, we study the effect of interparticle interactions on the critical temperature at which the Berezinskii-Kosterlitz-Thouless (BKT) transition occurs for Bose-Einstein condensates loaded at finite temperature in a 2D optical lattice. We find that the critical temperature decreases as the interaction energy decreases; when U/J=36/πone has a vanishing critical temperature, signaling the possibility of a quantum phase transition of BKT type.

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A. Smerzi, P. Sodano, A. Trombettoni. 2005-11-17. Finite-Temperature Renormalization Group Analysis of Interaction Effects in 2D Lattices of Bose-Einstein Condensates. https://arxiv.org/abs/cond-mat/0511437

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