Archive ouverte HAL – Energy of N two-dimensional bosons with zero-range interactions

Betzalel Bazak 1 Dmitry S. Petrov 2

New Journal of Physics, Institute of Physics: Open Access Journals, 2018, 20 (2), 〈10.1088/1367-2630/aaa64f〉

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 $B_N\propto 8.567^N$ predicted by Hammer and Son [Phys. Rev. Lett. {\bf 93}, 250408 (2004)] in the large-$N$ limit.

  • 1. IPNO - Institut de Physique Nucléaire d'Orsay
  • 2. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques