Finite-Temperature Renormalization Group Analysis of Interaction Effects in 2D Lattices of Bose-Einstein Condensates
A. Smerzi (1,2), P. Sodano (3), and A. Trombettoni (4) ((1) Istituto, Nazionale per la Fisica della Materia BEC-CRS, Dipartimento di Fisica,, Universita' di Trento, Italy; (2) Theoretical Division, Los Alamos National, Laboratory, USA; (3) Dipartimento di Fisica
TL;DR
This paper uses renormalization group analysis to investigate how interactions affect the critical temperature of the BKT transition in 2D Bose-Einstein condensates in optical lattices, revealing a potential quantum phase transition.
Contribution
It introduces a finite-temperature RG approach to analyze interaction effects on BKT transition in 2D lattice condensates, identifying conditions for a quantum phase transition.
Findings
Critical temperature decreases with interaction strength.
Critical temperature vanishes at U/J=36/π.
Indication of a BKT-type quantum phase transition.
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/\pi one has a vanishing critical temperature, signaling the possibility of a quantum phase transition of BKT type.
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Taxonomy
TopicsTheoretical and Computational Physics · Cold Atom Physics and Bose-Einstein Condensates · Spectroscopy and Laser Applications