Continuous matrix-product states in inhomogeneous systems with long-range interactions

We develop the continuous matrix-product states approach for description of inhomogeneous one-dimensional quantum systems with long-range interactions. The method is applied to the exactly solvable Calogero-Moser model. We show the high accuracy of reproducing the ground-state properties of the many-body system and discuss potential errors that can originate from the approximation of the nonlocal interaction potentials with singularities.

Automated summary

We introduce the continuous matrix-product states approach for describing inhomogeneous one-dimensional quantum systems with long-range interactions. The method is applied to the solvable Calogero-Moser model, demonstrating its high accuracy in reproducing the ground-state properties of many-body systems. We also discuss potential errors arising from approximating nonlocal interaction potentials with singularities.