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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References in corpus (5)

• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• Exact results for the 1D interacting mixed Bose-Fermi gas
• Correlation functions of one-dimensional Bose-Fermi mixtures
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Heteronuclear quantum gas mixtures