Proof of universality in one-dimensional few-body systems including anisotropic interactions
arXiv:2107.12233 · doi:10.1088/1361-6455/ac3b3f
Abstract
We provide an analytical proof of universality for bound states in one-dimensional systems of two and three particles, valid for short-range interactions with negative or vanishing integral over space. The proof is performed in the limit of weak pair-interactions and covers both binding energies and wave functions. Moreover, in this limit the results are formally shown to converge to the respective ones found in the case of the zero-range contact interaction.
References in corpus (10)
- Efimov Physics: a review
- New states of matter with fine-tuned interactions: quantum droplets and dipolar supersolids
- Two-dimensional scattering and bound states of polar molecules in bilayers
- Effective interactions, Fermi-Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides
- Model independence in two dimensions and polarized cold dipolar molecules
- Bound Dimers in Bilayers of Cold Polar Molecules
- Bound states of Dipolar Bosons in One-dimensional Systems
- Higher-order effective interactions for bosons near a two-body zero crossing
- Universality in a one-dimensional three-body system
- Scattering and bound states in two-dimensional anisotropic potentials