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Related papers: The Efimov effect for three interacting bosonic di…

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In many-body systems governed by pairwise contact interactions, a wide range of observables is linked by a single parameter, the two-body contact, which quantifies two-particle correlations. This profound insight has transformed our…

A recent rejuvenation of experimental and theoretical interest in the physics of few- body systems has provided deep, fundamental insights into a broad range of problems. Few-body physics is a cross-cutting discipline not restricted to…

Quantum Gases · Physics 2017-11-01 Chris H. Greene , P. Giannakeas , J. Perez-Rios

We derive a general effective many-body theory for bosonic polar molecules in strong interaction regime, which cannot be correctly described by previous theories within the first Born approximation. The effective Hamiltonian has additional…

Other Condensed Matter · Physics 2008-05-08 Daw-Wei Wang

We determine the three-body bound states of an atom in a Fermi mixture. Compared to the Efimov spectrum of three atoms in vacuum, we show that the Fermi seas deform the Efimov spectrum systematically. We demonstrate that this effect is more…

Atomic Physics · Physics 2020-08-04 Ali Sanayei , Ludwig Mathey

The universal properties of charged particles are modified by the presence of a long-range Coulomb interaction. We investigate the modification of Efimov universality as a function of the Coulomb strength using the Gaussian expansion…

Nuclear Theory · Physics 2019-06-10 C. H. Schmickler , H. -W. Hammer , E. Hiyama

In quantum physics, Efimov trimers are bound states of three particles that fall apart like Borromean rings when one of them is removed. Initially predicted in nuclear physics, these striking bosonic states are hard to observe, but the…

Quantum Gases · Physics 2014-05-06 Swann Piatecki , Werner Krauth

We consider the system of 3 nonrelativistic spinless fermions in two dimensions, which interact through spherically-symmetric pair interactions. Recently a claim has been made for the existence of the so-called super Efimov effect [Y.…

Mathematical Physics · Physics 2014-11-27 Dmitry K. Gridnev

In this article, we revisit the heteronuclear Efimov effect in a Bose-Fermi mixture with large mass difference in the Born-Oppenheimer picture. As a specific example, we consider the combination of bosonic $^{133}\mathrm{Cs}$ and fermionic…

An elementary proof of the 3-body Efimov effect is provided in the case of a separable 2-body potential which binds at zero energy a light particle to a heavy one. The proof proceeds by two steps, namely {\it i)} a projection of the…

Nuclear Theory · Physics 2016-09-08 B. G. Giraud , Y. Hahn

Spin-orbit coupled cold atom systems, governed by Hamiltonians that contain quadratic kinetic energy terms typical for a particle's motion in the usual Schr\"odinger equation and linear kinetic energy terms typical for a particle's motion…

Quantum Gases · Physics 2018-07-23 Q. Guan , D. Blume

We study the recombination process of three atoms scattering into an atom and diatomic molecule in heteronuclear mixtures of ultracold atomic gases with large and positive interspecies scattering length at finite temperature. We calculate…

Quantum Gases · Physics 2017-09-13 Samuel B. Emmons , Daekyoung Kang , Bijaya Acharya , Lucas Platter

The mass-imbalanced three-body recombination process that forms a shallow dimer is shown to possess a rich Efimov-St\"uckelberg landscape, with corresponding spectra that differ fundamentally from the homonuclear case. A semi-analytical…

Quantum Gases · Physics 2018-01-17 P. Giannakeas , Chris H. Greene

Three-body resonances are ubiquitous in quantum few-body physics and are characterized by a finite lifetime before decaying into continuum states of their composing subsystems. In this work we present a theoretical study on the possibility…

Quantum Gases · Physics 2026-04-09 Lucas Happ , Pascal Naidon

We investigate the appearance of resonances in three-body systems using pionless effective field theory at leading order. The Faddeev equation is analytically continued to the unphysical sheet adjacent to the positive real energy axis using…

Nuclear Theory · Physics 2022-07-26 Sebastian Dietz , Hans-Werner Hammer , Sebastian König , Achim Schwenk

We prove that the Schr\"odinger operator describing four particles in two dimensions, interacting solely through short-range three-body forces, can possess infinitely many bound states. This holds under the assumption that each three-body…

Mathematical Physics · Physics 2026-02-06 Jonathan Rau , Marvin R. Schulz

We study a system of three bosons interacting with short-range potentials which can move along three different lines. Two of these lines are parallel to each other within one plane. The third line is constrained to a plane perpendicular to…

Mathematical Physics · Physics 2024-12-02 Dirk Hundertmark , Marvin R. Schulz , Semjon Vugalter

A distinguishing feature of ultracold collisions of bosonic lithium atoms is the presence of two near-degenerate two-body continua. The influence of such a near-degeneracy on the few-body physics in the vicinity of a narrow Feshbach…

Quantum Gases · Physics 2023-05-04 Yaakov Yudkin , Paul S. Julienne , Lev Khaykovich

Few-body systems with large scattering length have universal properties that do not depend on the details of their interactions at short distances. We study the universal bound state properties of the four-boson system with large scattering…

Nuclear Theory · Physics 2008-11-26 H. -W. Hammer , L. Platter

We consider a system of three helium-4 atoms, which is so far the simplest realistic three-body system exhibiting the Efimov effect, in order to analyse deviations from the universal Efimov three-body spectrum. We first calculate the bound…

Atomic Physics · Physics 2013-04-29 Pascal Naidon , Emiko Hiyama , Masashito Ueda

We consider a ring-shaped triple-well potential with few polar bosons with in-plane dipole orientation. By diagonalizing the extended Bose-Hubbard Hamiltonian, we investigate the ground state properties of the system as we rotate the dipole…