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We consider a system of interacting bosons in one dimension at a two-body resonance. This system, which is weakly interacting, is known to give rise to effective three-particle interactions, whose dynamics is similar to that of a…

Quantum Gases · Physics 2019-05-22 Manuel Valiente , Volodymyr Pastukhov

We consider N trapped bosons in R 3 interacting via a pair potential w which has a long range of dipolar type. We show the convergence of the energy and of the minimizers for the many-body problem towards those of the dipolar…

Mathematical Physics · Physics 2017-03-13 Arnaud Triay

The stability of a Bose-Einstein condensed state of trapped ultra-cold atoms is investigated under the assumption of an attractive two-body and a repulsive three-body interaction. The Ginzburg-Pitaevskii-Gross (GPG) nonlinear Schr\"odinger…

Soft Condensed Matter · Physics 2009-10-31 A. Gammal , T. Frederico , Lauro Tomio , Ph. Chomaz

Three-body systems of scalar bosons are described in the framework of relativistic constraint dynamics. With help of a change of variables followed by a change of wave function, two redundant degrees of freedom get eliminated and the…

High Energy Physics - Theory · Physics 2008-11-26 Ph. Droz-Vincent

A two-body interaction or force between quantum particles is ubiquitous in nature, and the microscopic description in terms of the bare two-body interaction is the basis for quantitatively describing interacting few- and many-body systems.…

Quantum Gases · Physics 2025-06-17 Kantaro Honda , Yosuke Takasu , Yuki Haruna , Yusuke Nishida , Yoshiro Takahashi

We study the effects of three-body collisions in the basic physical properties of a two-mode Bose-Einstein condensate. By finding the exact analytical solution of a model which includes two-body and three-body elastic and mode-exchange…

We study two spinless bosons interacting via two-body Gaussian potential subjected to an externally impressed rotation about an axis confined in a harmonic trap in two-spatial dimensions. We obtain a transcendental equation for the relative…

Quantum Gases · Physics 2025-12-25 Md Hamid , M. A. H. Ahsan

The hadronic molecular picture of the observed exotic states has inspired numerous investigations into few-body systems. Recently, the lattice effective field theory studied the effect of a three-body interaction on the binding energy of…

Nuclear Theory · Physics 2025-02-04 Ya-Wen Pan , Jun-Xu Lu , Emiko Hiyama , Li-Sheng Geng , Atsushi Hosaka

We investigate local three-body correlations for bosonic particles in three and one dimensions as a function of the interaction strength. The three-body correlation function g(3) is determined by measuring the three-body recombination rate…

We study the ground state pair-correlation properties of a weakly interacting trapped Bose gas in three dimension by using a correlated many-body method. Use of the van der Waals interaction potential and an external trapping potential…

Quantum Gases · Physics 2015-03-13 Anindya Biswas , Barnali Chakrabarti , Tapan Kumar Das

We discuss some properties of a model Hamiltonian for a system of three bosons interacting via zero-range forces in three dimensions. In order to avoid the well known instability phenomenon, we consider the so-called Minlos-Faddeev…

Mathematical Physics · Physics 2025-09-23 Daniele Ferretti , Alessandro Teta

We study zero-energy collisions between three identical bosons with spin $f = 1$ interacting via pairwise potentials. We quantify the corresponding three-body scattering hypervolumes, which parametrize the effective three-body interaction…

Quantum Gases · Physics 2021-08-26 P. M. A. Mestrom , J. -L. Li , V. E. Colussi , T. Secker , S. J. J. M. F. Kokkelmans

We consider the asymptotic solutions to the Bethe ansatz equations of the integrable model of interacting bosons in the weakly interacting limit. In this limit we establish that the ground state maps to the highest energy state of a…

Statistical Mechanics · Physics 2007-05-23 M T Batchelor , X-W Guan , C Dunning , J Links

We present analytical results for the nonlocal pair correlations in one-dimensional bosonic systems with repulsive contact interactions that are uniformly valid from the classical regime of high temperatures down to weak quantum degeneracy…

Quantum Gases · Physics 2018-08-01 Benjamin Geiger , Quirin Hummel , Juan Diego Urbina , Klaus Richter

An interesting first order type phase transition between Mott lobes has been reported in Phys. Rev. Lett. 109, 135302 (2012) for a two-dimensional Bose-Hubbard model in the presence of attractive three-body interaction. We re-visit the…

Quantum Gases · Physics 2018-08-22 Manpreet Singh , Sebastian Greschner , Tapan Mishra

We discuss effective field theory treatments of the problem of three particles interacting via short-range forces (range R >> a_2, with a_2 the two-body scattering length). We show that forming a once-subtracted scattering equation yields a…

Other Condensed Matter · Physics 2009-04-17 L. Platter , D. R. Phillips

We study the system of multi-body interacting bosons on a two dimensional optical lattice and analyze the formation of bound bosonic pairs in the context of the Bose-Hubbard model. Assuming a repulsive two-body interaction we obtain the…

Quantum Gases · Physics 2020-08-19 Suman Mondal , Augustine Kshetrimayum , Tapan Mishra

We study the ground state and the low-lying excitations of a trapped Bose gas in an isotropic harmonic potential for very small ($\sim 3$) to very large ($\sim 10^7$) particle numbers. We use the correlated two-body basis functions and the…

Quantum Gases · Physics 2017-05-24 M. L. Lekala , B. Chakrabarti , T. K. Das , G. J. Rampho , S. A. Sofianos , R. M. Adam , S. K. Haldar

We report in this Letter the results of our investigation of 2D Bose gases beyond the dilute limit emphasizing the role played by three-body scattering events. We demonstrate that a competition between three-body attractive interactions and…

We study the effect of an optical lattice (OL) on the ground-state properties of one-dimensional ultracold bosons with three-body attraction and two-body repulsion, which are described by a cubic-quintic Gross-Pitaevskii equation with a…

Statistical Mechanics · Physics 2009-11-13 E. Fersino , B. A. Malomed , G. Mussardo , A. Trombettoni
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