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 Moreover, we examine the single-particle spectral function in the high-density regime where the virial expansion is no longer valid.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.
- Publication:
-
Physical Review A
- Pub Date:
- August 2021
- DOI:
- 10.1103/PhysRevA.104.023319
- arXiv:
- arXiv:2106.12909
- Bibcode:
- 2021PhRvA.104b3319T
- Keywords:
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- Condensed Matter - Quantum Gases;
- Condensed Matter - Strongly Correlated Electrons;
- Condensed Matter - Superconductivity;
- Nuclear Theory
- E-Print:
- 9 pages, 5 figures