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Related papers: Crossover in the Efimov spectrum

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The resonant profile of the rate coefficient for three-body recombination into a shallow dimer is investigated for mass-imbalanced systems. In the low-energy limit, three atoms collide with zero-range interactions, in a regime where the…

Quantum Gases · Physics 2025-11-26 P. Giannakeas , Chris H. Greene

In this paper, we advocate a novel spline-based isogeometric approach for boundary elements and its efficient implementation. We compare solutions obtained by both an isogeometric approach, and a classical parametric higher-order approach…

Computational Engineering, Finance, and Science · Computer Science 2018-07-11 Jürgen Dölz , Stefan Kurz , Sebastian Schöps , Felix Wolf

A boundary integral equation formulation is presented for the electromagnetic transmission problem where an incident electromagnetic wave is scattered from a bounded dielectric object. The formulation provides unique solutions for all…

Computational Physics · Physics 2020-02-18 Johan Helsing , Anders Karlsson

We discuss interacting and non-interacting one dimensional atomic systems trapped in an optical lattice plus a parabolic potential. We show that, in the tight-binding approximation, the non-interacting problem is exactly solvable in terms…

Other Condensed Matter · Physics 2009-11-11 Ana Maria Rey , Guido Pupillo , Charles W. Clark , Carl J. Williams

Three identical bosons or fermions are considered in the limit of zero-range interactions and finite effective range. By using a two channel model, we show that these systems are not integrable and that the wave function verifies specific…

Quantum Gases · Physics 2016-03-25 Tom Kristensen , Ludovic Pricoupenko

We solve a finite range two-channel model for three resonant identical bosons. The model provides a minimal description of the various magnetic Feshbach resonances in single species ultra-cold bosonic systems, including off-resonant…

Quantum Physics · Physics 2010-02-08 Mattia Jona-Lasinio , Ludovic Pricoupenko

We study triatomic systems in the regime of large negative scattering lengths which may be more favorable for the formation of condensed trimers in trapped ultracold monoatomic gases as the competition with the weakly bound dimers is…

Soft Condensed Matter · Physics 2009-02-05 F. Bringas , M. T. Yamashita , T. Frederico

We study the universality of the three-body parameters for systems relevant for ultracold quantum gases with positive $s$-wave two-body scattering lengths. Our results account for finite-range effects and their universality is tested by…

Atomic Physics · Physics 2017-04-05 Paul M. A. Mestrom , Jia Wang , Chris H. Greene , Jose P. D'Incao

Small weakly-bound droplets determine a number of properties of ultracold Bose and Fermi gases. For example, Efimov trimers near the atom-atom-atom and atom-dimer thresholds lead to enhanced losses from bosonic clouds. Generalizations to…

Quantum Gases · Physics 2019-01-14 D. Blume

In the framework of the pseudophotons method and under the hypothesis of the far field approximation the formal evaluation of the transition radiation spectrum produced by a three-dimensional charged beam interacting with a metallic target…

Accelerator Physics · Physics 2009-11-07 Gian Luca Orlandi

The two-body Coulomb scattering problem is solved using the standard complex scaling method. The explicit enforcement of the scattering boundary condition is avoided. Splitting of the scattering wave function based on the Coulomb modified…

Atomic Physics · Physics 2015-06-03 I. Hornyak , A. T. Kruppa

Ultracold atomic gases have recently become a driving force in few-body physics due to the observation of the Efimov effect. While initially observed in equal mass systems, one expects even richer few-body physics in the heteronuclear case.…

The paper is concerned with the three-dimensional electromagnetic scattering from a large open rectangular cavity that is embedded in a perfectly electrically conducting infinite ground plane. By introducing a transparent boundary…

Numerical Analysis · Mathematics 2021-04-28 Yanli Chen , Xue Jiang , Jun Lai , Peijun Li

We describe three-body collisions close to a Feshbach resonance by taking into account two-body scattering processes involving both the open and the closed channel. We extract the atom-dimer scattering length and the three-body…

Other Condensed Matter · Physics 2014-11-17 P. Massignan , H. T. C. Stoof

Faddeev equations in configuration space and integral form for three-atom scattering processes are formulated allowing for additive and nonadditive forces. The explicit partial wave decomposition is displayed. This formulation appears to be…

Atomic Physics · Physics 2007-05-23 W. Gloeckle , G. Rawitscher

We study the ultraviolet problem for models of a finite-dimensional quantum mechanical system linearly coupled to a bosonic quantum field, such as the (many-)spin boson model or its rotating-wave approximation. If the state change of the…

Mathematical Physics · Physics 2025-02-10 Benjamin Hinrichs , Jonas Lampart , Javier Valentín Martín

Interacting electrons in quantum dots with large Thouless number $g$ in the three classical random matrix symmetry classes are well-understood. When a specific type of spin-orbit coupling known to be dominant in two dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ganpathy Murthy

The 3-body recombination rate at threshold for distinguishable atoms with large negative pair scattering lengths is calculated in the zero-range approximation. The only parameters in this limit are the 3 scattering lengths and the Efimov…

Other Condensed Matter · Physics 2013-05-29 Eric Braaten , H. -W. Hammer , Daekyoung Kang , Lucas Platter

We theoretically investigate ground-state properties of a three-component Fermi gas with pairwise contact interactions between different components near a triatomic resonance where bound trimers are about to appear. Using variational…

Quantum Gases · Physics 2021-12-07 Hiroyuki Tajima , Shoichiro Tsutsui , Takahiro M. Doi , Kei Iida

We study some convergence issues for a recent approach to the problem of transparent boundary conditions for the Helmholtz equation in unbounded domains. The approach is based on the minimization on an integral functional which arises from…

Numerical Analysis · Mathematics 2014-06-23 Giulio Ciraolo , Francesco Gargano , Vincenzo Sciacca
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