Higher-order effective interactions for bosons near a two-body zero crossing

Autor: Pricoupenko, A., Petrov, D. S.
Rok vydání: 2020
Předmět:
Zdroj: Phys. Rev. A 103, 033326 (2021)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevA.103.033326
Popis: We develop the perturbation theory for bosons interacting via a two-body potential $V$ of vanishing mean value. We find that the leading nonpairwise contribution to the energy emerges in the third order in $V$ and represents an effective three-body interaction, the sign of which in most cases (although not in general) is anticorrelated with the sign of the long-range tail of $V$. Explicit results are obtained for a few particular two-body interaction potentials and we perform a detailed perturbative analysis of tilted dipoles in quasi-low-dimensional geometries.
Comment: 11 pages, 1 figure
Databáze: arXiv