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Related papers: Resonant Atom-Dimer Relaxation in Ultracold Atoms

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Particles with resonant short-range interactions have universal properties that do not depend on the details of their structure or their interactions at short distances. In the three-body system, these properties include the existence of a…

Nuclear Theory · Physics 2011-02-14 H. -W. Hammer , L. Platter

The universal three-body dynamics in ultra-cold binary gases confined to one-dimensional motion are studied. The three-body binding energies and the (2 + 1)-scattering lengths are calculated for two identical particles of mass $m$ and a…

Atomic Physics · Physics 2015-05-13 O. I. Kartavtsev , A. V. Malykh , S. A. Sofianos

It is well-known that three-boson systems show the Efimov effect when the two-body scattering length $a$ is large with respect to the range of the two-body interaction. This effect is a manifestation of a discrete scaling invariance (DSI).…

Quantum Gases · Physics 2015-06-19 A. Kievsky , M. Gattobigio , N. K. Timofeyuk

The low-energy scattering of three bosons or distinguishable particles with short-range interactions is characterized by a fundamental parameter, the three-body scattering hypervolume. Its imaginary part is directly related to the…

Quantum Gases · Physics 2017-10-12 Shangguo Zhu , Shina Tan

We investigate three-body recombination rates into deep dimers in cold atomic gases with large scattering length within hyper-spherical adiabatic zero-range approach. We derive closed analytic expressions for the rates for one- and…

Atomic Physics · Physics 2015-11-26 D. V. Fedorov , M. Mikkelsen , A. S. Jensen , N. T. Zinner

We derive the asymptotic expansions of the wave function of three particles having equal mass with finite-range interactions and infinite or zero two-dimensional scattering length colliding at zero energy and zero orbital angular momentum,…

Quantum Gases · Physics 2024-04-30 Junjie Liang , Shina Tan

In systems of ultracold atoms, pairwise interactions are resonantly enhanced by the application of an oscillating magnetic field that is parallel to the spin-quantization axis of the atoms. The resonance occurs when the frequency of the…

Quantum Gases · Physics 2016-11-17 D. Hudson Smith

In a system of atoms with large positive scattering length, weakly-bound diatomic molecules (dimers) are generated dynamically by the strong interactions between the atoms. If the atoms are modeled by a quantum field theory with an atom…

Soft Condensed Matter · Physics 2009-11-13 Eric Braaten , Dongqing Zhang

A zero range approach is used to model resonant two-body interactions between three identical bosons. A dimensionless phase parametrizes the three-body boundary condition while the scattering length enters the Bethe-Peierls boundary…

Quantum Gases · Physics 2011-08-31 Christophe Mora , Alexander O. Gogolin , Reinhold Egger

In the limit when the two-body scattering length $a$ is negative and much larger than the effective two-body interaction radius the contribution to the ground state energy due to the three-body correlations is given by the Efimov effect.…

Statistical Mechanics · Physics 2011-08-12 Aurel Bulgac

We discuss three-body recombination of ultra-cold atoms to a weakly bound $s$ level. In this case, characterized by large and positive scattering length $a$ for pair interaction, we find a repulsive effective potential for three-body…

atom-ph · Physics 2009-10-28 P. O. Fedichev , M. W. Reynolds , G. V. Shlyapnikov

We re-examine the series of resonances found earlier in atomic three-body systems by solving the Faddeev-Merkuriev integral equations. These resonances are rather broad and line-up at each threshold with gradually increasing gaps, the same…

Atomic and Molecular Clusters · Physics 2016-05-25 D. Diaz , Z. Papp , C. -Y. Hu

We experimentally confirmed the threshold behavior and scattering length scaling law of the three-body loss coefficients in an ultracold spin-polarized gas of $^6$Li atoms near a $p$-wave Feshbach resonance. We measured the three-body loss…

Quantum Gases · Physics 2018-04-04 Jun Yoshida , Taketo Saito , Muhammad Waseem , Keita Hattori , Takashi Mukaiyama

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 present a comprehensive collection of ultracold three-body collisions properties near overlapping Feshbach resonances. Our results incorporate variations of all scattering lengths and demonstrate novel collisional behavior, such as…

Atomic Physics · Physics 2015-05-13 J. P. D'Incao , B. D. Esry

A powerful set of universal relations, centered on a quantity called the contact, connects the strength of short-range two-body correlations to the thermodynamics of a many-body system with delta-function interactions. We report on…

Quantum Gases · Physics 2012-04-30 R. J. Wild , P. Makotyn , J. M. Pino , E. A. Cornell , D. S. Jin

We consider a realistic bosonic N-particle model with unitary interactions relevant for Efimov physics. Using quantum Monte Carlo methods, we find that the critical temperature for Bose-Einstein condensation is decreased with respect to the…

Quantum Gases · Physics 2016-11-23 Tommaso Comparin , Werner Krauth

The three-particle quantization condition is partially diagonalized in the center-of-mass frame by using cubic symmetry on the lattice. To this end, instead of spherical harmonics, the kernel of the Bethe-Salpeter equation for…

High Energy Physics - Lattice · Physics 2019-01-14 M. Döring , H. -W. Hammer , M. Mai , J. -Y. Pang , A. Rusetsky , J. Wu

We derive an analytic formula which describes the final bound state dependence in ultracold three-body recombination. Using an energy-dependent loss parameter, the recently observed broad resonance in an ultracold gas of $^{6}$Li atoms [T.…

Atomic Physics · Physics 2015-05-18 Seth T. Rittenhouse

We investigate universal behavior in the recombination rate of three bosons close to threshold. Using the He-He system as a reference, we solve the three-body Schr\"odinger equation above the dimer threshold for different potentials having…

Atomic Physics · Physics 2013-09-17 E. Garrido , M. Gattobigio , A. Kievsky