Few-fermion systems in one dimension: Ground- and excited-state energies and contacts

Abstract

Using the lattice Monte Carlo method, we compute the energy and Tan's contact in the ground state as well as the first excited state of few- to many-fermion systems in a one-dimensional periodic box. We focus on unpolarized systems of N=4,6,...,12 particles, with a zero-range interaction, and a wide range of attractive couplings. In addition, we provide extrapolations to the infinite-volume and thermodynamic limits.

arXiv comment8 pages, 12 figures; published version

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• One-dimensional multicomponent Fermi gas in a trap: quantum Monte Carlo study
• Formation of Selfbound States in a One-Dimensional Nuclear Model -- A Renormalization Group based Density Functional Study
• Ground state of the two-dimensional attractive Fermi gas: essential properties from few- to many-body
• Thermodynamics, contact and density profiles of the repulsive Gaudin-Yang model
• Magnetic impurity in a one-dimensional few-fermion system
• Thermal equation of state of polarized fermions in one dimension via complex chemical potentials
• Pairing patterns in one-dimensional spin- and mass-imbalanced Fermi gases
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• In-medium bound-state formation and inhomogeneous condensation in Fermi gases in a hard-wall box