Unitary $p$-wave Fermi gas in one dimension

Abstract

We elucidate universal many-body properties of a one-dimensional, two-component ultracold Fermi gas near the $p$-wave Feshbach resonance. The low-energy scattering in this system can be characterized by two parameters, that is, $p$-wave scattering length and effective range. At the unitarity limit where the $p$-wave scattering length diverges and the effective range is reduced to zero without conflicting with the causality bound, the system obeys universal thermodynamics as observed in a unitary Fermi gas with contact $s$-wave interaction in three dimensions. It is in contrast to a Fermi gas with the $p$-wave resonance in three dimensions in which the effective range is inevitably finite. We present the universal equation of state in this unitary $p$-wave Fermi gas within the many-body $T$-matrix approach as well as the virial expansion method. Moreover, we examine the single-particle spectral function in the high-density regime where the virial expansion is no longer valid. On the basis of the Hartree-like self-energy shift at the divergent scattering length, we conjecture that the equivalence of the Bertsch parameter across spatial dimensions holds even for a one-dimensional unitary $p$-wave Fermi gas.

9 pages, 5 figures

References in corpus (22)

• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
• p-wave Feshbach molecules
• Collisional Properties of p-Wave Feshbach Molecules
• Binding Energies of 6Li p-wave Feshbach Molecules
• Quantum Monte Carlo approaches to nuclear and atomic physics
• Large-momentum distribution of a polarized Fermi gas and p-wave contacts
• Two-body relaxation in a Fermi gas at a p-wave Feshbach resonance
• High-momentum distribution with subleading $k^{-3}$ tail in the odd-wave interacting one-dimensional Fermi gases
• Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
• Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions
• Stretching p-wave molecules by transverse confinements
• Quantitative analysis of $p$-wave three-body losses via cascade process
• Cold Atom Quantum Simulator for Dilute Neutron Matter
• Ground and excited states of spinor Fermi gases in tight waveguides and the Lieb-Liniger-Heisenberg model
• Creation of p-wave Feshbach molecules in the selected angular momentum states using an optical lattice
• P-Wave Contact Tensor -- Universal Properties of Axisymmetry-Broken P-Wave Fermi Gases
• Stability of spinor Fermi gases in tight waveguides
• Universal Feature in Optical Control of a p-wave Feshbach Resonance
• Transdimensional equivalence of universal constants for Fermi gases at unitarity
• Highly polarized one-dimensional Fermi gases near a narrow $p-$wave resonance
• Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases

Cited by in corpus (1)

• Stability against three-body clustering in one-dimensional spinless p-wave fermions