Yang-Yang thermodynamics of Bose-Fermi Mixture

Abstract

We investigate theoretically the behavior of a one-dimensional interacting Bose-Fermi mixture with equal masses and equal repulsive interactions between atoms at finite temperature in the scheme of thermodynamic Bethe ansatz. Combining the Yang-Yang thermodynamic formalism with local-density approximation in a harmonic trap, we calculate the density distribution of bosons and fermions numerically by treating the radially and axially excited states as discrete and continuous ones, respectively. Our result from exactly solvable solutions may be used as a touchstone for one-dimensional interacting Bose-Fermi mixture for experimental data fitting where mean-field theoretical approaches fail.

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Cited by in corpus (16)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Exact solution for the degenerate ground-state manifold of a strongly interacting one-dimensional Bose-Fermi mixture
• Strongly interacting Bose-Fermi mixtures in one dimension
• Strongly interacting one-dimensional quantum gas mixtures with weak p-wave interactions
• Competition of superfluidity and density waves in one-dimensional Bose-Fermi mixtures
• Quantum criticality of a one-dimensional Bose-Fermi mixture
• Emergent ballistic transport of Bose-Fermi mixtures in one dimension
• Density-functional theory for 1D harmonically trapped Bose-Fermi mixture
• Hard-core Bose-Fermi mixture in one-dimensional split traps
• Mixture of scalar bosons and two-color fermions in one dimension: Superfluid-insulator transitions
• Insulator phases of a mixture of spinor fermions and hard-core bosons
• Spin-selective insulators in Bose-Fermi mixtures
• Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture
• The properties of Tonk-Girardeau Gas at Finite Temperature and Comparison with Polarized Free Fermions
• Correlations and synchronization in a Bose-Fermi mixture
• Insulator phases of Bose-Fermi mixtures induced by intraspecies next-neighbor interactions