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arXiv · 1711.02345

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

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

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Betzalel Bazak, Dmitry S. Petrov. 2018-02-20. Energy of N two-dimensional bosons with zero-range interactions. https://doi.org/10.1088/1367-2630%2Faaa64f

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