Truncated Calogero-Sutherland models
Abstract
A one-dimensional quantum many-body system consisting of particles confined in a harmonic potential and subject to finite-range two-body and three-body inverse-square interactions is introduced. The range of the interactions is set by truncation beyond a number of neighbors and can be tuned to interpolate between the Calogero-Sutherland model and a system with nearest and next-nearest neighbors interactions discussed by Jain and Khare. The model also includes the Tonks-Girardeau gas describing impenetrable bosons as well as a novel extension with truncated interactions. While the ground state wavefunction takes a truncated Bijl-Jastrow form, collective modes of the system are found in terms of multivariable symmetric polynomials. We numerically compute the density profile, one-body reduced density matrix, and momentum distribution of the ground state as a function of the range and the interaction strength.
Cite
@article{arxiv.1606.00895,
title = {Truncated Calogero-Sutherland models},
author = {S. M. Pittman and M. Beau and M. Olshanii and A. del Campo},
journal= {arXiv preprint arXiv:1606.00895},
year = {2017}
}
Comments
10 pages, 10 figures, Revised section 2 and 3, Added Appendix, Phys. Rev. B (TBP 2017)