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.

8 pages, 12 figures; published version

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• Universal Tan relations for quantum gases in one dimension
• 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
• Tan's contact and the phase distribution of repulsive Fermi gases: Insights from QCD noise analyses
• Few-body physics on a space-time lattice in the worldline approach
• Ground-state energy, density profiles, and momentum distribution of attractively interacting 1D Fermi gases with hard-wall boundaries: a Monte Carlo study
• Thermodynamic equivalence of two-dimensional imperfect attractive Fermi and repulsive Bose gases
• Thermodynamics of one-dimensional SU(4) and SU(6) fermions with attractive interactions
• A complex Langevin approach to ultracold fermions
• Bose-like few-fermion systems
• In-medium bound-state formation and inhomogeneous condensation in Fermi gases in a hard-wall box