High-momentum distribution with a subleading k3 tail in odd-wave interacting one-dimensional Fermi gases

Xiaoling Cui and Huifang Dong
Phys. Rev. A 94, 063650 – Published 30 December 2016

Abstract

We study odd-wave interacting identical fermions in one dimension with finite effective range. We show that to fully describe the high-momentum distribution ρ(k) up to k4, one needs four parameters characterizing the properties when two particles contact each other. Two parameters are related to the variation of energy with respect to the odd-wave scattering length and the effective range, respectively, determining the k2 tail and part of the k4 tail in ρ(k). The other two parameters are related to the center-of-mass motion of the system, respectively determining the k3 tail and the other part of the k4 tail. We point out that the unusual k3 tail, which has not been discovered before in atomic systems, is an intrinsic component to complete the general form of ρ(k) and also is realistically detectable under certain experimental conditions. Various other universal relations are also derived in terms of those contact parameters, and finally the results are confirmed through the exact solution of a two-body problem.

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  • Received 4 August 2016

DOI:https://doi.org/10.1103/PhysRevA.94.063650

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Xiaoling Cui* and Huifang Dong

  • Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China

  • *xlcui@iphy.ac.cn

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Issue

Vol. 94, Iss. 6 — December 2016

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