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

References in corpus (6)

• Collisions of matter-wave solitons
• Atom interferometry with a weakly-interacting Bose Einstein condensate
• Universal Properties of Two-Dimensional Boson Droplets
• Five-Body Efimov Effect and Universal Pentamer in Fermionic Mixtures
• Universal low-energy properties of three two-dimensional particles
• Production of strongly bound 39K bright solitons

Cited by in corpus (14)

• Realization of a Townes soliton in a two-component planar Bose gas
• Quantum droplet of one-dimensional bosons with a three-body attraction
• Microscopic pairing theory of a binary Bose mixture with interspecies attractions: bosonic BEC-BCS crossover and ultradilute low-dimensional quantum droplets
• Few-body bound states of two-dimensional bosons
• Quantum unbinding near a zero temperature liquid-gas transition
• Three-body forces and Efimov physics in nuclei and atoms
• Gas-to-soliton transition of attractive bosons on a spherical surface
• Self-bound droplets of light with orbital angular momentum
• Two-dimensional bosonic droplets in a harmonic trap
• Four-body bound states in momentum space: the Yakubovsky approach without two-body $t-$matrices
• Efimov physics beyond three particles
• Beyond-mean-field analysis of the Townes soliton and its breathing mode
• Generalized Gross-Pitaevskii Equation for 2D Bosons with Attractive Interactions
• Droplets of Bosons at a Narrow Resonance