2016/07/31 by Shi-Guo Peng, Xia-Ji Liu, Hui Hu
Mathematics · Physics and Astronomy · #Adiabatic process #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Distribution (mathematics) #Energy (signal processing) #Fermi Gamma-ray Space Telescope #Fermi gas #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.94.063651
published as Phys. Rev. A 94, 063651 (2016) · 9 pages
openalex created_date 2016/08/23 · arxiv created 2016/10/31 · openalex publication_date 2016/12/30 · arxiv updated 2017/01/04 · openalex updated_date 2026/08/05
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∼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 40K atoms [C. Luciuk et al., Nat. Phys. 12, 599 (2016)].