Large-momentum distribution of a polarized Fermi gas and p-wave contacts

Abstract

We present a derivation of the adiabatic energy relations as well as the large momentum distribution of a polarized Fermi gas near p-wave Feshbach resonances. The leading asymptotic behavior ($k^{-2}$) and subleading behavior ($k^{-4}$) of the large momentum distribution have recently been predicted by Yu et al. [Phys. Rev. Lett. 115, 135304 (2015)] and by He et al. [Phys. Rev. Lett. 116, 045301 (2016)] using two different approaches. Here, we show that the subleading asymptotic behavior ($\sim k^{-4}$) can not fully be captured by the contact defined from the adiabatic energy relation related to the p-wave effective range, and there should be an extra term resulted from the center-of-mass motion of the pairs. The omission of this extra term is perhaps a reasonable approximation at zero temperature. However, it should be taken into account at finite temperature and should be of significant importance to understand the recently measured momentum distribution in a resonant p-wave Fermi gas of ultracold ${}^{40}$K atoms [Luciuk et al., Nature Phys. 12, 599 (2016)].

9 pages

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• Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
• P-wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps
• Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling
• Emergent $s$-wave interactions in orbitally active quasi-two-dimensional Fermi gases
• Large-momentun tail of one-dimensional Fermi gases with spin-orbit coupling
• Three-body contact for fermions. I. General relations
• Dynamic virial theorem at nonequilibrium and applications
• Temperature dependence of $p$-wave contacts in a harmonically trapped Fermi gas
• Universal scattering phase shift in the presence of spin-orbit coupling
• Measurement of $p$-wave contacts in an ultracold Fermi gas of ${}^6$Li atoms
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Resonance-facilitated three-channel p-wave scattering