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In a three-body system of identical bosons interacting through a large S-wave scattering length $a$, there are several sets of Efimov features related by discrete scale invariance. Effective field theory was recently used to derive…

Quantum Gases · Physics 2015-09-16 Chen Ji , Eric Braaten , Daniel R. Phillips , Lucas Platter

We consider a system of three identical bosons near a Feshbach resonance in the universal regime with large scattering length usually described by model independent zero-range potentials. We employ the adiabatic hyperspherical approximation…

Quantum Physics · Physics 2009-09-28 M. Thøgersen , D. V. Fedorov , A. S. Jensen , B. D. Esry , Yujun Wang

We calculate shallow three-body bound states in the universal regime, defined by Efimov, with inclusion of both scattering length and effective range parameters. The universal spectrum is recovered for the least bound states, whereas for…

Quantum Gases · Physics 2012-11-27 P. K. Sørensen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We investigate finite-range effects in systems with three identical bosons. We calculate recombination rates and bound state spectra using two different finite-range models that have been used recently to describe the physics of cold atomic…

Quantum Gases · Physics 2013-03-15 P. K. Sørensen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

A non-relativistic system of three identical particles will display a rich set of universal features known as Efimov physics if the scattering length a is much larger than the range l of the underlying two-body interaction. An appropriate…

Other Condensed Matter · Physics 2009-11-13 Lucas Platter , Chen Ji , Daniel R. Phillips

We use an effective-field-theory framework to analyze the Efimov effect in heteronuclear three-body systems consisting of two species of atoms with a large interspecies scattering length. In the leading-order description of this theory,…

Quantum Gases · Physics 2016-09-14 Bijaya Acharya , Chen Ji , Lucas Platter

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

We provide an exact solution of the Efimov spectrum in ultracold gases within the standard two-channel model for Feshbach resonances. It is shown that the finite range in the Feshbach coupling makes the introduction of an adjustable…

Quantum Gases · Physics 2012-12-18 Richard Schmidt , Steffen Patrick Rath , Wilhelm Zwerger

We measure the critical scattering length for the appearance of the first three-body bound state, or Efimov three-body parameter, at seven different Feshbach resonances in ultracold 39K atoms. We study both intermediate and narrow…

We study the Efimov effect in a harmonic oscillator in the hyperspherical formulation, and show how a reduced model allows for a description that is a generalization of the Efimov effect in free space and leads to results that are easily…

Quantum Gases · Physics 2011-12-05 Jacobus Portegies , Servaas Kokkelmans

Particles with short-range interactions and a large scattering length have universal low-energy properties that do not depend on the details of their structure or their interactions at short distances. In the 2-body sector, the universal…

Other Condensed Matter · Physics 2009-07-09 Eric Braaten , H. -W. Hammer

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

Universal behaviour has been found inside the window of Efimov physics for systems with $N=4,5,6$ particles. Efimov physics refers to the emergence of a number of three-body states in systems of identical bosons interacting {\it via} a…

Quantum Gases · Physics 2015-06-17 M. Gattobigio , A. Kievsky

We calculate the spectrum of three-body Efimov bound states near a Feshbach resonance within a model which accounts both for the finite range of interactions and the presence of background scattering. The latter may be due to direct…

Quantum Gases · Physics 2018-04-03 Christian Langmack , Richard Schmidt , Wilhelm Zwerger

We have measured the binding energy of $^7$Li Feshbach molecules deep into the non-universal regime by associating free atoms in a Bose-Einstein condensate by modulating the magnetic field. We extract the scattering length from these…

Quantum Gases · Physics 2013-09-06 P. Dyke , S. E. Pollack , R. G. Hulet

We study Efimov physics for three identical bosons interacting via a pairwise square-well potential, analyze the validity of the separable approximation as a function of the interaction strength, and investigate what is needed to improve…

Atomic Physics · Physics 2019-01-08 Paul M. A. Mestrom , Thomas Secker , Ronen Kroeze , Servaas Kokkelmans

Strongly interacting systems appear in several areas of physics and are characterized by attractive interactions that can almost, or just barely, loosely bind two particles. Although this definition is made at the two-body level, this gives…

Atomic Physics · Physics 2024-07-03 Lucas Madeira

In the low-energy limit, non-relativistic particles with short-range interactions exhibit universal behavior that is largely independent of microscopic details. This universality is typically described by effective field theory, in which…

Quantum Gases · Physics 2025-06-17 Langxuan Chen , Pengfei Zhang

Three particles with large scattering length display a universal spectrum of three-body bound states called "Efimov trimers''. We calculate the modification of the Efimov trimers of three identical bosons in a finite cubic box and compute…

Nuclear Theory · Physics 2010-07-27 Simon Kreuzer , H. -W. Hammer

The low-energy spectrum of three particles interacting via nearly resonant two-body interactions in the Efimov regime is set by the so-called three-body parameter. We show that the three-body parameter is essentially determined by the…

Quantum Gases · Physics 2014-03-25 Pascal Naidon , Shimpei Endo , Masahito Ueda
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