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Long-range interactions between cold Rydberg atoms, which are used in many important applications, can be enhanced using F\"orster resonances between collective many-body states controlled by an external electric field. Here we report on…

Quantum Physics · Physics 2014-12-05 D. B. Tretyakov , V. M. Entin , E. A. Yakshina , I. I. Beterov , C. Andreeva , I. I. Ryabtsev

We observe magnetically tuned collision resonances for ultracold Cs2 molecules stored in a CO2-laser trap. By magnetically levitating the molecules against gravity, we precisely measure their magnetic moment. We find an avoided level…

Other Condensed Matter · Physics 2009-02-20 C. Chin , T. Kraemer , M. Mark , J. Herbig , P. Waldburger , H. -C. Naegerl , R. Grimm

Optical Feshbach resonances (OFRs) allow one to control cold atomic scattering, produce ultracold molecules and study atomic interactions via photoassociation spectroscopy. In the limit of ultracold s-wave collisions the strength of an…

Atomic Physics · Physics 2023-06-02 Mateusz Borkowski

Magnetically tunable Feshbach resonances for polar paramagnetic ground-state diatomics are too narrow to allow for magnetoassociation starting from trapped, ultracold atoms. We show that non-resonant light can be used to engineer the…

Atomic Physics · Physics 2014-03-24 Michał Tomza , Rosario González-Férez , Christiane P. Koch , Robert Moszynski

Feshbach resonances are commonly described by a single-resonance Feshbach model, and open-channel resonances are not taken into account explicitly. However, an open-channel resonance near threshold limits the range of validity of this…

Other Condensed Matter · Physics 2009-11-10 B. Marcelis , E. G. M. van Kempen , B. J. Verhaar , S. J. J. M. F. Kokkelmans

The concept of Feshbach resonances developed for quantum mechanical scattering is applied in the analysis of classical light scattering off photonic crystal slabs. It is shown that this concept can be realized almost perfectly in these…

Optics · Physics 2011-11-02 Izhak Evenor , Eran Grinvald , Frieder Lenz , Shimon Levit

Most of the current theories on the p-wave superfluid in cold atomic gases are based on the effective-range theory for the two-body scattering, where the low energy p-wave scattering amplitude $f_1(k)$ is given by $%…

Atomic Physics · Physics 2015-05-20 Peng Zhang , Pascal Naidon , Masahito Ueda

We consider low energy threshold reactive collisions of particles interacting via a van der Waals potential at long range in the presence of external confinement and give analytic formulas for the confinement modified scattering in such…

Quantum Gases · Physics 2015-06-23 Zbigniew Idziaszek , Krzysztof Jachymski , Paul S. Julienne

Resonances in ultracold collisions involving heavy molecules are difficult to understand, and have proven challenging to detect. Here we report the observation of magnetically tunable Feshbach resonances in ultracold collisions between…

Atomic Physics · Physics 2019-03-06 Huan Yang , De-Chao Zhang , Lan Liu , Ya-Xiong Liu , Jue Nan , Bo Zhao , Jian-Wei Pan

Studies of cold atom collisions and few-body interactions often require the energy dependence of the scattering phase shift, which is usually expressed in terms of an effective-range expansion. We use accurate coupled-channel calculations…

Quantum Gases · Physics 2014-04-25 Caroline L. Blackley , Paul S. Julienne , Jeremy M. Hutson

We consider controlled collisions between two ultracold atoms guided by external harmonic potentials. We derive analytical solutions of the Schroedinger equation for this system, and investigate the properties of eigenergies and eigenstates…

Quantum Gases · Physics 2009-10-30 Michał Krych , Zbigniew Idziaszek

We consider the coherent control of ultracold molecule-molecule scattering, impacted by a dense set of rovibrational resonances. To characterize the resonance spectrum, a rudimentary model based on multichannel quantum defect theory has…

Atomic Physics · Physics 2023-01-18 Adrien Devolder , Timur V. Tscherbul , Paul Brumer

We employ a quantum defect theory framework to provide a detailed analysis of the interplay between a magnetic Feshbach resonance and a shape resonance in cold collisions of ultracold $\rm ^{87}Rb$ atoms as captured in recent experiments…

Quantum Gases · Physics 2022-08-08 Matthew Chilcott , James F. E. Croft , Ryan Thomas , Niels Kjærgaard

Ultracold molecules can be associated from ultracold atoms by ramping the magnetic field through a Feshbach resonance. A reverse ramp dissociates the molecules. Under suitable conditions, more than one outgoing partial wave can be…

We investigate the possibility to control the s-wave scattering length for the interaction between cold bosonic atoms by using a microwave field. Our scheme applies to any atomic species with a ground state that is split by hyperfine…

Quantum Gases · Physics 2010-05-13 D. J. Papoular , G. V. Shlyapnikov , J. Dalibard

The possibility of using ultracold atoms to observe strong localization of matter waves is now the subject of a great interest, as undesirable decoherence and interactions can be made negligible in these systems. It was proposed that a…

Disordered Systems and Neural Networks · Physics 2009-11-11 Pietro Massignan , Yvan Castin

We demonstrate and theoretically analyze the dressing of several proximate Feshbach resonances in Rb-87 using radio-frequency (rf) radiation. We present accurate measurements and characterizations of the resonances, and the dramatic changes…

Quantum Gases · Physics 2009-11-05 A. M. Kaufman , R. P. Anderson , Thomas M. Hanna , E. Tiesinga , P. S. Julienne , D. S. Hall

In this paper, we have provided exact two-body solutions to the 2D and 3D Schr\"odinger equations with isotropic van der Waals potentials of the form \(\pm 1/r^6\). Based on these solutions, we developed an analytical quantum defect theory…

Quantum Gases · Physics 2025-08-22 Jianwen Jie , Shi Chen , Yue Chen , Ran Qi

The van der Waals coefficients for the alkali-metal atoms from Na to Fr interacting in their ground states, are calculated using relativistic ab initio methods. The accuracy of the calculations is estimated by also evaluating atomic static…

Atomic Physics · Physics 2007-05-23 A. Derevianko , W. R. Johnson , M. S. Safronova , J. F. Babb

Here we present a four-channel model that incorporates a magnetically tunable Feshbach resonance in a system of three atoms that interact via pairwise van der Waals interactions. Our method is designed to model recent experiments where the…

Atomic Physics · Physics 2023-06-14 Kajsa-My Tempest , Svante Jonsell