$p$-wave Feshbach resonances and three-body losses in quasi-1D spin-polarized $^6$Li gases

$p$-wave Feshbach resonances in ultracold Fermi gases present an opportunity to observe $p$-wave pairing and non-trivial topological states, such as Majorana edge modes. However, the enhanced losses near such resonances have prevented such investigation. A reduction in the three-body losses in a spin-polarized gas of $^6$Li atoms in the lowest-energy spin state near the $p$-wave Feshbach resonance at approximately 159 G is expected when confined to quasi-1D. We present measurements of these three-body losses in quasi-1D tubes as functions of confinement, temperature and magnetic detuning from this resonance, as well as the results of coupled-channel calculations of the p-wave scattering amplitude under these conditions. We also report on the prospect of observing $p$-wave pairing in this system, and present an experimental set-up using a digital micromirror device (DMD) and blue-detuned light to produce the hard boundaries necessary to simulate the Kitaev chain hamiltonian and observe Majorana edge modes.