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 ${k}^{\ensuremath{-}2}$ and subleading behavior ${k}^{\ensuremath{-}4}$ of the large momentum distribution have recently been predicted by Z. Yu et al. [Phys. Rev. Lett. 115, 135304 (2015)] and by M. Y. He et al. [Phys. Rev. Lett. 116, 045301 (2016)] using two different approaches. Here, we show that the subleading asymptotic behavior ($\ensuremath{\sim}{k}^{\ensuremath{-}4}$) cannot 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 resulting 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 have significant importance to understand the recently measured momentum distribution in a resonant $p$ -wave Fermi gas of ultracold $^{40}\mathrm{K}$ atoms [C. Luciuk et al., Nat. Phys. 12, 599 (2016)].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 ${k}^{\ensuremath{-}2}$ and subleading behavior ${k}^{\ensuremath{-}4}$ of the large momentum distribution have recently been predicted by Z. Yu et al. [Phys. Rev. Lett. 115, 135304 (2015)] and by M. Y. He et al. [Phys. Rev. Lett. 116, 045301 (2016)] using two different approaches. Here, we show that the subleading asymptotic behavior ($\ensuremath{\sim}{k}^{\ensuremath{-}4}$) cannot 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 resulting 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 have significant importance to understand the recently measured momentum distribution in a resonant $p$-wave Fermi gas of ultracold $^{40}\mathrm{K}$ atoms [C. Luciuk et al., Nat. Phys. 12, 599 (2016)].

arXiv:1607.03989Physical Review ADec 30, 201635 citations

Phase Diagram of a Polarized Fermi Gas Across a Feshbach Resonance

Wenhui Li, Yean-an Liao, Guthrie B. Partridge +1 more

Bulletin of the American Physical SocietyJun 7, 20070 citations

Two-body relaxation of spin-polarized fermions in reduced dimensionalities near a p -wave Feshbach resonance

Denis V. Kurlov, Georgy V. Shlyapnikov

We study inelastic two-body relaxation in a spin-polarized ultracold Fermi gas in the presence of a $p$ -wave Feshbach resonance. It is shown that in reduced dimensionalities, especially in the quasi-one-dimensional case, the enhancement of the inelastic rate constant on approach to the resonance is strongly suppressed compared to three dimensions. This may open promising paths for obtaining novel many-body states.We study inelastic two-body relaxation in a spin-polarized ultracold Fermi gas in the presence of a $p$-wave Feshbach resonance. It is shown that in reduced dimensionalities, especially in the quasi-one-dimensional case, the enhancement of the inelastic rate constant on approach to the resonance is strongly suppressed compared to three dimensions. This may open promising paths for obtaining novel many-body states.

arXiv:1612.04107Physical Review AMar 31, 201726 citations

Highly polarized 1D Fermi gases near p-wave resonance

Yinfeng Ma, Xiaoling Cui

Bulletin of the American Physical SocietyJun 8, 20170 citations

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 ${k}^{\ensuremath{-}2}$ and subleading behavior ${k}^{\ensuremath{-}4}$ of the large momentum distribution have recently been predicted by Z. Yu et al. [Phys. Rev. Lett. 115, 135304 (2015)] and by M. Y. He et al. [Phys. Rev. Lett. 116, 045301 (2016)] using two different approaches. Here, we show that the subleading asymptotic behavior ($\ensuremath{\sim}{k}^{\ensuremath{-}4}$) cannot 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 resulting 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 have significant importance to understand the recently measured momentum distribution in a resonant

p

-wave Fermi gas of ultracold

^{40}\mathrm{K}

atoms [C. Luciuk et al., Nat. Phys. 12, 599 (2016)].

We study inelastic two-body relaxation in a spin-polarized ultracold Fermi gas in the presence of a

p

-wave Feshbach resonance. It is shown that in reduced dimensionalities, especially in the quasi-one-dimensional case, the enhancement of the inelastic rate constant on approach to the resonance is strongly suppressed compared to three dimensions. This may open promising paths for obtaining novel many-body states.