English

Energy of N two-dimensional bosons with zero-range interactions

Quantum Gases 2018-02-21 v2 Atomic Physics Quantum Physics

Abstract

We derive an integral equation describing NN two-dimensional bosons with zero-range interactions and solve it for the ground state energy BNB_N by applying a stochastic diffusion Monte Carlo scheme for up to 26 particles. We confirm and go beyond the scaling BN8.567NB_N\propto 8.567^N predicted by Hammer and Son [Phys. Rev. Lett. {\bf 93}, 250408 (2004)] in the large-NN limit.

Keywords

Cite

@article{arxiv.1711.02345,
  title  = {Energy of N two-dimensional bosons with zero-range interactions},
  author = {Betzalel Bazak and Dmitry S. Petrov},
  journal= {arXiv preprint arXiv:1711.02345},
  year   = {2018}
}
R2 v1 2026-06-22T22:38:23.507Z