Exact results for the one-dimensional mixed boson-fermion interacting gas

Abstract

The exact solution of the one-dimensional interacting mixed boson-fermion 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 nonpolarized fermions. We do not observe any demixing instability of the system for repulsive interactions.