Truncated Calogero-Sutherland Models on a Circle

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.

8 pages, 1 figure

References in corpus (2)

• Scaling-up quantum heat engines efficiently via shortcuts to adiabaticity
• Truncated Calogero-Sutherland models

Cited by in corpus (4)

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• Taxonomy of integrable and ground-state solvable models: Jastrow wave functions on graphs and parent Hamiltonians
• Local Hamiltonians for one-dimensional critical models