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

Abstract

We derive an integral equation describing N two-dimensional bosons with zero-range interactions and solve it for the ground state energy B _N by applying a stochastic diffusion Monte Carlo scheme for up to 26 particles. We confirm and go beyond the scaling B _N ∝ 8.567 ^N predicted by Hammer and Son (2004 Phys. Rev. Lett. 93 250408) in the large- N limit.

Keywords

• two-dimensional systems
• Bose gas
• zero-range interaction