Exact results for the 1D interacting mixed Bose-Fermi gas

Abstract

The exact solution of the 1D interacting mixed Bose-Fermi 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 non-polarized fermions. We do not observe any demixing instability of the system for repulsive interactions.

arXiv comment12 pages, 4 figures, better comparison with hydrodynamic approach, typos corrected, references added, improved figures

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• Pairing of 1D Bose-Fermi mixtures with unequal masses
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
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• Ground-state properties of interacting two-component Bose gases in a hard-wall trap
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• Exact Solution for 1D Spin-Polarized Fermions with Resonant Interactions
• Strongly interacting Bose-Fermi mixtures in one dimension
• Yang-Yang thermodynamics of Bose-Fermi Mixture
• Strongly interacting one-dimensional quantum gas mixtures with weak p-wave interactions
• Competition of superfluidity and density waves in one-dimensional Bose-Fermi mixtures
• In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas
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• Theory of Ultracold Superstrings
• Quantum criticality of a one-dimensional Bose-Fermi mixture
• Emergent ballistic transport of Bose-Fermi mixtures in one dimension
• The q-deformed Bose gas: Integrability and thermodynamics
• On 1+1 Dimensional Galilean Supersymmetry in Ultracold Quantum Gases
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• Hard-core Bose-Fermi mixture in one-dimensional split traps
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
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