FFLO Vortex Lattice States in Cold Fermionic-Atom Systems

TL;DR

This paper predicts the conditions under which exotic higher Landau level vortex lattice states form in rotating polarized cold-atom fermionic systems, indicating a finite-momentum pairing condensate.

Contribution

It introduces a theoretical framework for identifying higher Landau level vortex states in cold-atom systems through solving linearized gap equations.

Findings

Predicted experimental conditions for HLL vortex lattice formation.

Identified signatures of finite-momentum pairing condensates.

Provided a basis for experimental detection of exotic superfluid states.

Abstract

Condensation of atom pairs with finite total momentum is expected in a portion of the phase diagram of a two-component fermionic cold-atom system. This unusual condensate can be identified by detecting the exotic higher Landau level (HLL) vortex lattice states it can form when rotated. With this motivation, we have solved the linearized gap equations of a polarized cold atom system in a Landau level basis to predict experimental circumstances under which HLL vortex lattice states occur.