Exact results for the 1D interacting Fermi gas with arbitrary polarization
M.T. Batchelor, M. Bortz, X.W. Guan, N. Oelkers
TL;DR
This paper provides exact analytical results for the ground state and quantum properties of a one-dimensional interacting Fermi gas with any polarization, revealing polarization-dependent quantum effects.
Contribution
It offers new exact solutions for the 1D polarized Fermi gas, advancing understanding of its quantum behavior and polarization effects.
Findings
Exact ground state energy derived
Quasimomentum distribution functions characterized
Polarization influences spin and charge velocities
Abstract
We investigate the 1D interacting two-component Fermi gas with arbitrary polarization. Exact results for the ground state energy, quasimomentum distribution functions, spin velocity and charge velocity reveal subtle polarization dependent quantum effects.
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