Paired states in spin-imbalanced atomic Fermi gases in one dimension

TL;DR

This paper investigates spin-imbalanced ultracold fermionic gases in one-dimensional traps, using Bethe Ansatz to analyze paired states, local density profiles, and phase diagrams relevant for experimental realization.

Contribution

It introduces a method to determine the phase diagram of 1D spin-imbalanced Fermi gases from local density profiles in traps, aiding experimental studies.

Findings

Calculated local density profiles at zero and finite temperatures.

Proposed a scheme to identify phase diagrams from trap data.

Demonstrated the applicability of Bethe Ansatz in inhomogeneous systems.

Abstract

A growing expertise to engineer, manipulate and probe different cold-atom analogs of electronic condensed matter systems allows to probe properties of exotic pairing. We study paired states of spin-imbalanced ultracold atomic system of fermions with attractive short-range interactions in one-dimensional traps. Calculations are done using the Bethe Ansatz technique and the trap is incorporated into the solution via a local density approximation. The thermodynamic-Bethe-Ansatz equations are solved numerically and different local density profiles are calculated for zero and finite temperatures. A procedure to identify the homogeneous-system phase diagram using local density profiles in the trap is also proposed. Such scheme would be immediately useful for the experiments.