Berezinskii-Kosterlitz-Thouless transition in trapped quasi-two-dimensional Fermi gas near a Feshbach resonance

TL;DR

This paper investigates the Berezinskii-Kosterlitz-Thouless superfluid transition in a trapped quasi-two-dimensional Fermi gas near a Feshbach resonance, incorporating phase fluctuations and trapping effects to predict transition temperatures and density distributions.

Contribution

It introduces an effective 2D Hamiltonian with renormalized interactions and accounts for trapping potential effects, providing new insights into superfluid behavior near Feshbach resonances.

Findings

Calculated BKT transition temperature considering phase fluctuations.

Analyzed superfluid density and density distributions in traps.

Results applicable to experimental gases in optical lattices.

Abstract

We study the superfluid transition in a quasi-two-dimensional Fermi gas with a magnetic field tuning through a Feshbach resonance. Using an effective two-dimensional Hamiltonian with renormalized interaction between atoms and dressed molecules, we investigate the Berezinskii-Kosterlitz-Thouless transition temperature by studying the phase fluctuation effect. We also take into account the trapping potential in the radial plane, and discuss the number and superfluid density distributions. These results can be compared to experimental outcomes for gases prepared in one-dimensional optical lattices.