Higher-order effective interactions for bosons near a two-body zero crossing – Archive ouverte HAL

A. Pricoupenko 1 D. S. Petrov 1

A. Pricoupenko, D. S. Petrov. Higher-order effective interactions for bosons near a two-body zero crossing. Physical Review A, American Physical Society 2021, 103 (3), ⟨10.1103/PhysRevA.103.033326⟩. ⟨hal-03223944⟩

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.

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