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

TL;DR

This paper employs lattice Monte Carlo simulations to calculate ground and excited state energies and Tan's contact for few- to many-fermion systems in one dimension, exploring various particle numbers and interaction strengths.

Contribution

It provides new numerical results for energies and contacts in one-dimensional fermion systems, including extrapolations to infinite volume and thermodynamic limits.

Findings

Computed energies and contacts for N=4,6,...,12 fermions

Analyzed effects of different attractive couplings

Performed extrapolations to infinite volume and thermodynamic limits

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.