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

2005/06/30 by M. T. Batchelor, Murray T. Batchelor, M. Bortz +4 · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physreva.72.061603

published as Phys. Rev. A 72, 061603 (2005) · 12 pages, 4 figures, better comparison with hydrodynamic approach, typos corrected, references added, improved figures

arxiv created 2005/10/22 · openalex publication_date 2005/12/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

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