Elastic collision rates of spin-polarized fermions in two dimensions

Abstract

We study the $p$-wave elastic collision rates in a two-dimensional spin-polarized ultracold Fermi gas in the presence of a $p$-wave Feshbach resonance. We derive the analytical relation of the elastic collision rate coefficient in the close vicinity of resonance when the effective range is dominant. The elastic collision rate is enhanced by an exponential scaling of $e^{-q_r^2/q_T^2}$ towards the resonance. Here, $q_r$ is the resonant momentum and $q_T$ is the thermal momentum. An analogous expression is derived for the case of three dimensions successfully explains the thermalization rates measurement in the recent experiment~[Phys. Rev. A 88, 012710 (2013)]. In the zero-range limit where the effective range is negligible, the elastic collision rate coefficient is proportional to temperature $T^2$ and scattering area $A_p^2$. In this limit, energy transfer from high to low velocity through $p$-wave collision is approximately $\sqrt{2}$ times faster compared to the three-dimensional case. We also discuss the collisional stability in the presence of three-body losses in the background scattering limit. Our results suggest that $p$-wave evaporation may be performed with improved efficiency and may provide insight into the dynamics of the system in experiments.

Four Figures, 8 pages

References in corpus (20)

• p-wave Feshbach molecules
• Collisional Properties of p-Wave Feshbach Molecules
• Binding Energies of 6Li p-wave Feshbach Molecules
• Stability of the fermionic gases close to a p-wave Feshbach resonance
• Resonant Scattering of Ultracold Atoms in Low Dimensions
• Two-body relaxation in a Fermi gas at a p-wave Feshbach resonance
• Observation of unitary p-wave interactions between fermions in an optical lattice
• Quantitative analysis of $p$-wave three-body losses via cascade process
• Creation of p-wave Feshbach molecules in the selected angular momentum states using an optical lattice
• Probing open- and closed-channel p-wave resonances
• Spin-polarized fermions with $p$-wave interactions
• Interaction-Assisted Reversal of Thermopower with Ultracold Atoms
• Sigature of the universal super Efimov Effect: three-body contact in two dimensional Fermi gases
• Three and four identical fermions near the unitary limit
• Quantum Monte Carlo study of the role of p-wave interactions in ultracold repulsive Fermi gases
• Transport in p-wave interacting Fermi gases
• Anomalous loss behavior in a single-component Fermi gas close to a $p$-Wave Feshbach resonance
• Runaway evaporation for optically dressed atoms
• Three-body recombination in a single-component Fermi gas with $p$-wave interaction
• Tricritical physics in two-dimensional $p$-wave superfluids