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arXiv · 1606.00895

Truncated Calogero-Sutherland models

S. M. Pittman·M. Beau·M. Olshanii·A. del Campo
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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 $r$ and the interaction strength.

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S. M. Pittman, M. Beau, M. Olshanii, A. del Campo. 2016-06-02. Truncated Calogero-Sutherland models. https://doi.org/10.1103/physrevb.95.205135

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