Pairing instabilities in quasi-two-dimensional Fermi gases

TL;DR

This paper investigates the non-equilibrium dynamics and molecule formation in ultracold quasi-two-dimensional Fermi gases after interaction quenches, highlighting the effects of confinement and Pauli blocking.

Contribution

It introduces a T-matrix formalism that incorporates Pauli blocking and confinement effects, providing new insights into molecule formation and binding energy corrections.

Findings

Molecule formation rate depends strongly on transverse confinement.

Pauli blocking significantly alters molecular binding energies.

The formalism accurately describes non-equilibrium dynamics in low-dimensional Fermi gases.

Abstract

We study non-equilibrium dynamics of ultracold two-component Fermi gases in low-dimensional geometries after the interactions are quenched from weakly interacting to strongly interacting regime. We develop a T-matrix formalism that takes into account the interplay between Pauli blocking and tight confinement in low-dimensional geometries. We employ our formalism to study the formation of molecules in quasi-two-dimensional Fermi gases near Feshbach resonance and show that the rate at which molecules form depends strongly on the transverse confinement. Furthermore, Pauli blocking gives rise to a sizable correction to the binding energy of molecules.