Exact results for the 1D interacting mixed Bose-Fermi gas
M.T. Batchelor, M. Bortz, X.W. Guan, N. Oelkers
TL;DR
This paper provides exact solutions for the ground-state properties of a one-dimensional interacting mixed Bose-Fermi gas, analyzing effects of interaction strength and polarization, and finds no demixing instability for repulsive interactions.
Contribution
It presents the exact solution for the 1D interacting mixed Bose-Fermi gas and calculates key properties across different interaction regimes and polarizations.
Findings
No demixing instability observed for repulsive interactions
Ground-state energy and quasimomentum distribution characterized
Properties computed for finite and thermodynamic systems
Abstract
The exact solution of the 1D interacting mixed Bose-Fermi gas is used to calculate ground-state properties both for finite systems and in the thermodynamic limit. The quasimomentum distribution, ground-state energy and generalized velocities are obtained as functions of the interaction strength both for polarized and non-polarized fermions. We do not observe any demixing instability of the system for repulsive interactions.
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