Journal
PHYSICAL REVIEW A
Volume 98, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.98.023605
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Funding
- NSF of China [11704233, 11474189, 11674201]
- Key NNSFC Grant [11534014]
- National Key RAMP
- D Program of China [2017YFA0304500]
- Hong Kong Research Grants Council [C6026-16W, GRF 17318316]
- Croucher Foundation under the Croucher Innovation Award
- Society of Interdisciplinary Research (SOIREE)
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We present a rigorous study of momentum distribution and p-wave contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction. Using the Bethe ansatz wave function, we calculate analytically the high-momentum tail and show that the leading (similar to 1/p(2)) and sub-leading terms (similar to 1/p(4)) are determined by two contacts C-2 and C-4, which are related to the short-distance behavior of the two-body density matrix and its derivatives. As one increases the one-dimensional scattering length, the contact C-2 increases monotonically from zero while C-4 exhibits a peak at finite scattering length. In addition, we obtain analytic expressions for p-wave contacts at finite temperature from the thermodynamic Bethe ansatz equations for both weak and strong attractive interactions.
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