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Related papers: Efimov physics beyond universality

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Efimov physics in two nuclear-spin sublevels of bosonic lithium is studied and it is shown that the positions and widths of recombination minima and Efimov resonances are identical for both states within the experimental errors which…

Quantum Gases · Physics 2011-04-07 Noam Gross , Zav Shotan , Olga Machtey , Servaas Kokkelmans , Lev Khaykovich

Three oriented bosonic dipoles are treated using the hyperspherical adiabatic representation, providing numerical evidence that the Efimov effect persists near a two-dipole resonance and in a system where angular momentum is not conserved.…

Atomic Physics · Physics 2011-07-01 Yujun Wang , J. P. D'Incao , Chris H. Greene

We give exact integral expressions of the third cluster or virial coefficients of binary mixtures of ideal Bose or Fermi gases, with interspecies interactions of zero range and infinite s-wave scattering length. In general the result…

Quantum Gases · Physics 2024-01-25 Shimpei Endo , Yvan Castin

For a system of three identical bosons interacting via short-range forces, when two of the atoms are about to form a two-body s-wave dimer, there exists an infinite number of three-body bound states. This effect is the well-known Efimov…

Atomic Physics · Physics 2015-06-11 Jia Wang , J. P. D'Incao , Yujun Wang , Chris H. Greene

Three bosons with large scattering length show universal properties that do not depend on the details of the interaction at short distances. In the three-boson system, these properties include a geometric spectrum of shallow three-body…

Nuclear Theory · Physics 2009-03-24 Simon Kreuzer , H. -W. Hammer

In a Feshbach resonance, the effective s-wave scattering length grows when one moves toward the resonance point, and eventually diverges at this point. There is one characteristic energy scale, $\delta_c$, defined as, in the negative side…

Quantum Gases · Physics 2013-01-01 Guojun Zhu

We study the Efimov states in highly mass-imbalanced three-body systems composed of two identical heavy atoms and one light atom, focusing on the Er-Er-Li and Dy-Dy-Li cold-atom mixtures with strong dipole-dipole interactions between the…

Quantum Gases · Physics 2025-09-15 Kazuki Oi , Shimpei Endo

We consider finite-range effects when the scattering length goes to zero near a magnetically controlled Feshbach resonance. The traditional effective-range expansion is badly behaved at this point and we therefore introduce an effective…

Quantum Gases · Physics 2012-06-26 N. T. Zinner

We develop an effective low energy theory for multi-channel scattering of cold atomic alkali atoms with particular focus on Feshbach resonances. The scattering matrix is expressed in terms of observables only and the theory allows for the…

Other Condensed Matter · Physics 2009-05-01 G. M. Bruun

We study the Schr\"{o}dinger equation with $1/r^3$ and attractive $1/r^2$ potentials. Using the quantum defect theory, we obtain analytical solutions for both repulsive and attractive $1/r^3$ interactions. The obtained…

Quantum Gases · Physics 2026-01-28 Yuki Ohishi , Kazuki Oi , Shimpei Endo

Under certain circumstances, three or more interacting particles may form bound states. While the general few-body problem is not analytically solvable, the so-called Efimov trimers appear for a system of three particles with resonant…

Quantum Gases · Physics 2015-05-14 Scott E. Pollack , Daniel Dries , Randall G. Hulet

We report a thorough investigation of finite-temperature effects on three-body recombination near a triatomic Efimov resonance in an ultracold gas of cesium atoms. Our measurements cover a wide range from a near-ideal realization of the…

Quantum Gases · Physics 2015-06-22 Bo Huang , Leonid A. Sidorenkov , Rudolf Grimm

We study the impact of three-body physics in quenched unitary Bose gases, focusing on the role of the Efimov effect. Using a local density model, we solve the three-body problem and determine three-body decay rates at unitary, finding…

Atomic Physics · Physics 2018-07-18 J. P. D'Incao , J. Wang , V. E. Colussi

We study three-body systems in a mass-imbalanced two-component cold-atom mixture, and we investigate the three-body parameter of their Efimov states for both bosonic and fermionic systems, with a major focus on the Er-Er-Li Efimov states.…

Quantum Gases · Physics 2024-09-05 Kazuki Oi , Pascal Naidon , Shimpei Endo

Extremely weakly-bound three-boson systems are predicted to exhibit intriguing universal properties such as discrete scale invariance. Motivated by recent experimental studies of the ground and excited helium trimers, this work analyzes the…

Quantum Gases · Physics 2015-12-08 D. Blume

We study the exact solution for two atomic particles in an optical lattice interacting via a Feshbach resonance. The analysis includes the influence of all higher bands, as well as the proper renormalization of molecular energy in the…

Quantum Gases · Physics 2015-05-14 H. P. Büchler

We present an analytic model to calculate the atomic scattering length near a Feshbach resonance from data on the molecular binding energy. Our approach considers finite-range square-well potentials and can be applied near broad, narrow, or…

Other Condensed Matter · Physics 2009-11-13 A. D. Lange , K. Pilch , A. Prantner , F. Ferlaino , B. Engeser , H. -C. Naegerl , R. Grimm , C. Chin

We provide a general discussion on the importance of three-body Efimov physics for strongly interacting ultracold quantum gases. Using the adiabatic hyperspherical representation, we discuss a universal classification of three-body systems…

Atomic Physics · Physics 2018-02-14 Jose P. D'Incao

Efimov states are known to have a discrete real space scale invariance, working in momentum space we identify the relevant discrete scale invariance for the scattering amplitude defining its Weierstrass function as well. Through the use of…

Nuclear Theory · Physics 2020-09-02 Ehoud Pazy

We use the dressed potentials obtained in the adiabatic representation of two coupled channels to calculate s-wave Feshbach resonances in a 3D spherically symmetric potential with an open channel interacting with a closed channel. Analytic…

Atomic Physics · Physics 2014-11-26 T. Wasak , M. Krych , Z. Idziaszek , M. Trippenbach , Y. Avishai , Y. B. Band
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