English

Pseudopotential for the 2D contact interaction

Quantum Gases 2016-04-15 v1

Abstract

We propose a smooth pseudopotential for the contact interaction acting between ultracold atoms confined to two dimensions. The pseudopotential reproduces the scattering properties of the repulsive contact interaction up to 200 times more accurately than a hard disk potential, and in the attractive branch gives a 10-fold improvement in accuracy over the square well potential. Furthermore, the new potential enables diffusion Monte Carlo simulations of the ultracold gas to be run 15 times quicker than was previously possible.

Keywords

Cite

@article{arxiv.1603.05001,
  title  = {Pseudopotential for the 2D contact interaction},
  author = {T. M. Whitehead and L. M. Schonenberg and N. Kongsuwan and R. J. Needs and G. J. Conduit},
  journal= {arXiv preprint arXiv:1603.05001},
  year   = {2016}
}

Comments

11 pages, 9 figures

R2 v1 2026-06-22T13:12:04.857Z