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

Abstract

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.

arXiv comment11 pages, 1 figure

References in corpus (26)

• Trapped atomic condensates with anisotropic interactions
• Dynamics of dark solitons in elongated Bose-Einstein condensates
• New states of matter with fine-tuned interactions: quantum droplets and dipolar supersolids
• Thermalization near integrability in a dipolar quantum Newton's cradle
• Zero-temperature phase diagram of binary boson-fermion mixtures
• Phonon exchange in dilute Fermi-Bose mixtures: tailoring the Fermi-Fermi interaction
• Stability of quasi-two-dimensional Bose-Einstein condensates with dominant dipole-dipole interactions
• Anisotropic superfluidity in a dipolar Bose gas
• Quantum fluctuations in quasi-one-dimensional dipolar Bose-Einstein condensates
• Breakdown of integrability in a quasi-one-dimensional ultracold bosonic gas
• Three-Body Interacting Bosons in Free Space
• Mean-field regime of trapped dipolar Bose-Einstein condensates in one and two dimensions
• Phonon instability in two-dimensional dipolar Bose-Einstein Condensates
• Excitations and Stripe Phase Formation in a 2D Dipolar Bose Gas with Tilted Polarization
• Quantum droplet of one-dimensional bosons with a three-body attraction
• Anisotropic and long-range vortex interactions in two-dimensional dipolar Bose gases
• One-dimensional three-boson problem with two- and three-body interactions
• Two dimensional bright solitons in dipolar Bose-Einstein condensates with tilted dipoles
• Finite temperature analysis of a quasi2D dipolar gas
• Phase diagram of dipolar bosons in 2D with tilted polarization
• A general theory of flattened dipolar condensates
• Effective renormalized multi-body interactions of harmonically confined ultracold neutral bosons
• Two-dimensional Bose gas of tilted dipoles: roton instability and condensate depletion
• Three-body repulsive forces among identical bosons in one dimension
• Few-body bound states of two-dimensional bosons
• Absence of damping of low energy excitations in a quasi-2D dipolar Bose gas

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• Stripe and checkerboard patterns in a stack of driven quasi-one-dimensional dipolar condensates
• Three-body bound states of two bosons and one impurity in one dimension
• Proof of universality in one-dimensional few-body systems including anisotropic interactions
• Efimov-like physics in fraction-dimensional Bose systems with three-body interaction
• Density engineering via inter-condensate dipole-dipole interactions
• Soliton Dimer-soliton scattering in coupled Quasi-one-dimensional Dipolar Bose-Einstein Condensates