Dimer problem on a spherical surface
Quantum Gases
2025-05-20 v2 Quantum Physics
Abstract
We solve the problem of a dimer moving on a spherical surface and find that its binding energy and wave function are sensitive to the total angular momentum. The dimer gets squeezed in the direction orthogonal to the center-of-mass motion and can qualitatively change its geometry from two-dimensional to one-dimensional. These results suggest that combining the curved geometry with finite angular momentum may give rise to qualitatively new many-body phenomena in ultracold shell-shaped gases.
Cite
@article{arxiv.2502.06724,
title = {Dimer problem on a spherical surface},
author = {A. Tononi and D. S. Petrov and M. Lewenstein},
journal= {arXiv preprint arXiv:2502.06724},
year = {2025}
}
Comments
8 pages, 3 figures