Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions

Abstract

We extend the exact periodic Bethe Ansatz solution for one-dimensional bosons and fermions with delta-interaction and arbitrary internal degrees of freedom to the case of hard wall boundary conditions. We give an analysis of the ground state properties of fermionic systems with two internal degrees of freedom, including expansions of the ground state energy in the weak and strong coupling limits in the repulsive and attractive regimes.

arXiv comment27 pages, 6 figures, key reference added, typos corrected

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Cited by in corpus (66)

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• Strongly Interacting Quantum Gases in One-Dimensional Traps
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• Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices
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• One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: II. $N$ Particles
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• Collective dispersion relations for the 1D interacting two-component Bose and Fermi gases
• Single-shot simulations of dynamics of quantum dark solitons
• Half-space stationary Kardar-Parisi-Zhang equation
• Replica Bethe Ansatz solution to the Kardar-Parisi-Zhang equation on the half-line
• The Bose-Fermi duality in quantum Otto heat engine with trapped repulsive Bosons
• In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas
• Analytical and numerical studies of Bose-Fermi mixtures in a one-dimensional harmonic trap
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• Comparing models for the ground state energy of a trapped one-dimensional Fermi gas with a single impurity
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• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• Excitation spectrum of a mixture of two Bose gases confined in a ring potential with interaction asymmetry
• Quench-induced delocalization
• Classical and quantum metrology of the Lieb-Liniger model
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• Emergence of junction dynamics in a strongly interacting Bose mixture
• Emergence of dark soliton signatures in a one-dimensional unpolarized attractive Fermi gas on a ring
• Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture
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• State transfer in an inhomogeneous spin chain
• Equation of state for the one-dimensional attractive δ-potential Bose gas in the weak-coupling regime
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
• Dispersion relation of a polaron in the Yang-Gaudin Bose gas
• In-medium bound-state formation and inhomogeneous condensation in Fermi gases in a hard-wall box
• Dynamical probing of high-order spin coherence in one-dimensional mixtures
• Effective theory for strongly attractive one-dimensional fermions
• A unified approach to the thermodynamics and quantum scaling functions of one-dimensional strongly attractive $SU(w)$ Fermi Gases
• Exact solutions of a one-dimensional mixture of spinor bosons and spinor fermions
• Necklace Ansatz for strongly repulsive spin mixtures on a ring