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arXiv · 1709.10326

Jastrow-like ground states for quantum many-body potentials with near-neighbors interactions

Marzieh Baradaran·Jose A. Carrasco·Federico Finkel·Artemio Gonzalez-Lopez
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Abstract

We completely solve the problem of classifying all one-dimensional quantum potentials with nearest- and next-to-nearest-neighbors interactions whose ground state is Jastrow-like, i.e., of Jastrow type but depending only on differences of consecutive particles. In particular, we show that these models must necessarily contain a three-body interaction term, as was the case with all previously known examples. We discuss several particular instances of the general solution, including a new hyperbolic potential and a model with elliptic interactions which reduces to the known rational and trigonometric ones in appropriate limits.

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Marzieh Baradaran, Jose A. Carrasco, Federico Finkel, Artemio Gonzalez-Lopez. 2017-09-29. Jastrow-like ground states for quantum many-body potentials with near-neighbors interactions. https://doi.org/10.1016/j.aop.2017.11.007

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