Truncated Calogero-Sutherland Models on a Circle

TL;DR

This paper introduces a new class of quantum many-body models on a circle with tunable interactions, extending the Calogero-Sutherland framework, and provides exact solutions for ground states and parts of the spectrum.

Contribution

It develops a generalized model with adjustable interaction range and derives exact ground state properties and partial excitation spectra.

Findings

Exact ground state energy and wavefunction determined.

Model generalizes Calogero-Sutherland with tunable interaction range.

Partial excitation spectrum obtained.

Abstract

We investigate a quantum many-body system with particles moving on a circle and subject to two-body and three-body potentials. In this new class of models, that extrapolates from the celebrated Calogero-Sutherland model and a system with interactions among nearest and next-to-nearest neighbors, the interactions can be tuned as a function of range. We determine the exact ground state energy and wavefunction and obtain a part of the excitation spectrum.