Ground state properties of one-dimensional Bose-Fermi mixtures
Zi-Xiang Hu, Qiu-Lan Zhang, You-Quan Li
TL;DR
This paper provides an exact solution for one-dimensional Bose-Fermi mixtures, analyzing their ground state properties, excitations, and phase diagram under external influences using Bethe-ansatz equations.
Contribution
It derives three sets of Bethe-ansatz equations for different reference states, offering a comprehensive analysis of ground state features and phase diagrams.
Findings
Explicit Bethe-ansatz equations for three reference states
Characterization of ground state and low-lying excitations
Phase diagram under external field and chemical potential
Abstract
Bose-Fermi mixtures in one dimension are studied in detail on the basis of an exact solution. Corresponding to three possible choices of the referecce state in the quantum inverse scattering method, three sets of Bethe-ansatz equations are derived explicitly. The features of the ground state and low-lying excitations are investigated. The ground state phase diagram caused by the external field and chemical potential is obtained.
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