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Related papers: Three-body systems with attractive 1/r potentials

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This work presents further analysis of the three- and four-neutron systems in the low energy regime using adiabatic hyperspherical methods. In our previous Phys. Rev. Lett. article (Phys. Rev. Lett. 125, 052501 (2020)), the low-energy…

Nuclear Theory · Physics 2021-03-03 Michael D. Higgins , Chris H. Greene , Alejandro Kievsky , Michele Viviani

We study the ground state properties of the Bose-Hubbard model with attractive interactions on a M-site one-dimensional periodic -- necklace-like -- lattice, whose experimental realization in terms of ultracold atoms is promised by a…

Statistical Mechanics · Physics 2007-05-23 Pierfrancesco Buonsante , Vittorio Penna , Alessandro Vezzani

I consider non-relativistic bosons interacting via pairwise potentials with infinite scattering length and supporting no two-body bound states. To lowest order in effective field theory, these conditions lead to non-interacting bosons,…

Quantum Gases · Physics 2019-07-16 Manuel Valiente

The low energy systems of three or four neutrons are treated within the adiabatic hyperspherical framework, yielding an understanding of the low energy quantum states in terms of an adiabatic potential energy curve. The dominant low energy…

Nuclear Theory · Physics 2020-08-05 Michael D. Higgins , Chris H. Greene , Alejandro Kievsky , Michele Viviani

The elastic scattering properties of three bosons at low energy enter the many-body description of ultracold Bose gases via the three-body scattering hypervolume $D$. We study this quantity for identical bosons that interact via a pairwise…

Atomic Physics · Physics 2019-11-25 P. M. A. Mestrom , V. E. Colussi , T. Secker , S. J. J. M. F. Kokkelmans

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 analyze the hard-core Bose-Hubbard model with both the three-body and nearest neighbor repulsions on the triangular lattice. The phase diagram is achieved by means of the semi-classical approximation and the quantum Monte Carlo…

Quantum Gases · Physics 2011-05-23 Xue-Feng Zhang , Yu-Chuan Wen , Yue Yu

Application of the Hyperspherical Adiabatic expansion to describe three-body scattering states suffers the problem of a very slow convergence. Contrary to what happens for bound states, a huge number of hyperradial equations has to be…

Nuclear Theory · Physics 2014-11-18 P. Barletta , C. Romero-Redondo , A. Kievsky , M. Viviani , E. Garrido

We demonstrate that, rather than resorting to high-cost dynamic correlation methods, qualitative failures in excited-state potential energy surface predictions can often be remedied at no additional cost by ensuring that optimal molecular…

Chemical Physics · Physics 2020-06-18 Lan Nguyen Tran , Eric Neuscamman

We propose a stroboscopic method to dynamically decouple the effects of two-body atom-atom interactions for ultracold atoms, and realize a system dominated by elastic three-body interactions. Using this method, we show that it is possible…

Quantum Gases · Physics 2014-11-06 K. W. Mahmud , E. Tiesinga , P. R. Johnson

We study three-body recombination in two dimensions for systems interacting via short-range two-body interactions in the regime of large scattering lengths. Using the adiabatic hyperspherical representation, we derive semi-analytical…

Quantum Physics · Physics 2014-11-11 J. P. D'Incao , Fatima Anis , B. D. Esry

We theoretically study an interacting few-body system of Rashba spin-orbit coupled two-component Bose gases confined in a harmonic trapping potential. We solve the interacting Hamiltonian at large Rashba coupling strengths using Exact…

Quantum Gases · Physics 2013-07-01 B. Ramachandhran , Hui Hu , Han Pu

We study how stable excited many-body states of the Bose-Hubbard model, including both the gas-like state for strongly attractive bosons and bound cluster state for repulsive bosons, can be produced with cold bosonic atoms in an…

Quantum Gases · Physics 2010-07-01 Li Wang , Yajiang Hao , Shu Chen

We show that for ultra-cold neutral bosonic atoms held in a three-dimensional periodic potential or optical lattice, a Hubbard model with dominant, attractive three-body interactions can be generated. In fact, we derive that the effect of…

Quantum Gases · Physics 2016-05-04 Saurabh Paul , P. R. Johnson , Eite Tiesinga

In this paper we present results from numerical calculations for three identical boson systems for both very large and infinite two-body s-wave scattering length $a$. We have considered scattering lengths up to $2\times 10^5$ a.u. and…

Other Condensed Matter · Physics 2009-11-11 J. P. D'Incao , B. D. Esry

We introduce a model to study the collisions of two ultracold diatomic molecules in one dimension interacting via pairwise potentials. We present results for this system, and argue that it offers lessons for real molecular collisions in…

Quantum Physics · Physics 2019-06-18 Jia K. Yao , Nirav P. Mehta , Kaden R. A. Hazzard

We determine the phase-diagram of a one-dimensional system of hard-core lattice bosons interacting via repulsive three-body interactions by analytic methods and extensive quantum Monte-Carlo simulations. Such three-body interactions can be…

Other Condensed Matter · Physics 2015-05-13 B. Capogrosso-Sansone , S. Wessel , H. P. Büchler , P. Zoller , G. Pupillo

We consider weakly interacting bosonic gases with local and non-local multi-body interactions. By using the Bogoliubov approximation, we first investigate contact interactions, studying the case in which the interparticle potential can be…

Quantum Gases · Physics 2017-10-10 D. Laghi , T. Macrì , A. Trombettoni

The ground-state properties of attractive bosons trapped in a ring lattice including a single attractive potential well with an adjustable depth are investigated. The energy spectrum is reconstructed both in the strong-interaction limit and…

Quantum Physics · Physics 2014-03-19 Michele Cavaletto , Vittorio Penna

We compute highly accurate first principle based \textit{ab initio} adiabatic potential energy surfaces (PESs) using State-Averaged Multi-Configurational Self-Consistent Field (SA-MCSCF) followed by internally contracted Multi-Reference…

Chemical Physics · Physics 2026-03-10 Avik Guchait , Gourhari Jana , Satyam Ravi , Koushik Naskar , Satrajit Adhikari