Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction

Abstract

We present a rigorous study of momentum distribution and p-wave contacts of one dimensional (1D) spinless Fermi gases with an attractive p-wave interaction. Using the Bethe wave function, we analytically calculate the large-momentum tail of momentum distribution of the model. We show that the leading ($\sim 1/p^2$) and sub-leading terms ($\sim 1/p^4$) of the large-momentum tail are determined by two contacts $C_2$ and $C_4$, which we show, by explicit calculation, are related to the short-distance behaviour of the two-body correlation function and its derivatives. We show as one increases the 1D scattering length, the contact $C_2$ increases monotonically from zero while $C_4$ exhibits a peak for finite scattering length. In addition, we obtain analytic expressions for p-wave contacts at finite temperature from the thermodynamic Bethe ansatz equations in both weakly and strongly attractive regimes.

19 pages,2 figures

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• Ground-state properties of dilute spinless fermions in fractional dimensions
• Universal relations and normal-state properties of a Fermi gas with laser-dressed mixed-partial-wave interactions
• Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions
• Transport in p-wave interacting Fermi gases
• Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling
• Thermodynamic contacts and breathing mode physics of 1D p-wave Fermi gases in the high temperature limit
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
• Viscous Flow in a 1D Spin-Polarized Fermi Gas: the Role of Integrability on Viscosity
• Large-momentun tail of one-dimensional Fermi gases with spin-orbit coupling
• Temperature dependence of $p$-wave contacts in a harmonically trapped Fermi gas
• Radio-Frequency Spectroscopy and the Dimensional Crossover in Interacting Spin-Polarized Fermi Gases
• Local manipulation of quantum magnetism in 1D ultracold Fermi gases across narrow resonances
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Quench dynamics and quantum flutter properties of one-dimensional attractive single-spin flipped Fermi gases