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The ultracold mixture of \Na and \Rb atoms has become an important system for investigating physics in Bose-Bose atomic mixtures and for forming ultracold ground-state polar molecules. In this work, we provide an improved characterization…

Quantum Gases · Physics 2022-02-23 Zhichao Guo , Fan Jia , Bing Zhu , Lintao Li , Jeremy M. Hutson , Dajun Wang

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

Magnetically tunable Feshbach resonances in ultracold atomic systems are chiefly identified and characterized through time consuming atom loss spectroscopy. We describe an off-resonant dispersive optical probing technique to rapidly locate…

We investigate interactions and ultracold collisions of high-spin but spherical atoms with closed-shell atoms, focussing on the example of Cr with Yb. Such a combination has only one potential energy curve but gives rise to a substantial…

Atomic Physics · Physics 2024-09-04 Matthew D. Frye , Piotr S. Żuchowski , Michał Tomza

We derive solutions of the Schr\"{o}dinger equation for the isotropic van der Waals interaction in a symmetric harmonic trap, with the recent approach [arXiv:2207.09377 (2022)] to handle the multi-scale long-range potential. Asymptotic…

Atomic Physics · Physics 2024-11-11 Ruijie Du

We discuss exact solutions of the Schroedinger equation for the system of two ultracold atoms confined in an axially symmetric harmonic potential. We investigate different geometries of the trapping potential, in particular we study the…

Quantum Physics · Physics 2009-11-13 Zbigniew Idziaszek , Tommaso Calarco

It is demonstrated that elastic collisions of ultracold atoms forming a heteronuclear collision complex can be manipulated by laboratory practicable dc electric fields. The mechanism of electric field control is based on the interaction of…

Atomic Physics · Physics 2007-05-23 R. V. Krems

We show that the essential properties of a Feshbach resonance in cold atomic gases can be tuned by dressing the atomic states in different scattering channels through inter-channel couplings. Such a scheme can be readily implemented in the…

Quantum Gases · Physics 2017-11-08 Tian-Shu Deng , Wei Zhang , Wei Yi

Using fourth-order perturbation theory, a general formula for the van der Waals potential of two neutral, unpolarized, ground-state atoms in the presence of an arbitrary arrangement of dispersing and absorbing magnetodielectric bodies is…

Quantum Physics · Physics 2007-05-23 Hassan Safari , Stefan Yoshi Buhmann , Dirk-Gunnar Welsch , Ho Trung Dung

We present a semi-analytical treatment of both the elastic and inelastic collisional properties near a p-wave Feshbach resonance. Our model is based on a simple three channel system that reproduces more elaborate coupled-channel…

We present the theory of a pair of atoms in a one-dimensional optical lattice interacting via a narrow Feshbach resonance. Using a two-channel description of the resonance, we derive analytic results for the scattering states inside the…

Other Condensed Matter · Physics 2008-02-05 N. Nygaard , R. Piil , K. Molmer

We have observed Feshbach resonances in elastic collisions between ultracold ${}^{52}$Cr atoms. This is the first observation of collisional Feshbach resonances in an atomic species with more than one valence electron. The zero nuclear spin…

Other Condensed Matter · Physics 2009-11-10 J. Werner , A. Griesmaier , S. Hensler , J. Stuhler , T. Pfau , A. Simoni , E. Tiesinga

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

Spectroscopic studies of few-body systems at ultracold temperatures provide valuable information that often cannot be extracted in a hot environment. Considering a pair of atoms, we propose a cooling mechanism that makes use of a scattering…

Atomic Physics · Physics 2009-11-07 J. W. Dunn , D. Blume , Bogdan Borca , B. E. Granger , Chris H. Greene

We observe interspecies Feshbach resonances due to s-wave bound states in ultracold $^{39}$K-$^{133}$Cs scattering for three different spin mixtures. The resonances are observed as joint atom loss and heating of the K sample. We perform…

We show that ultracold chemical reactions can be manipulated and controlled by using Rydberg-dressed interactions. Scattering in the ultracold regime is sensitive to long-range interactions, especially when weakly bound (or quasi-bound)…

Atomic Physics · Physics 2015-06-19 Jia Wang , Jason N. Byrd , Ion Simbotin , R. Côté

This work investigates how the closed channel of a Feshbach resonance is characterised by experimental observables. Surprisingly, it is found that the two-body observables associated with the Feshbach resonance can be insensitive to the…

Quantum Gases · Physics 2025-02-05 Pascal Naidon

Resonances are of particular importance to the scattering of composite particles in quantum mechanics. We build an effective field theory for two-body scattering which includes a low-energy $S$-wave resonance. Our starting point is the most…

Nuclear Theory · Physics 2021-05-28 J. Balal Habashi , S. Sen , S. Fleming , U. van Kolck

A problem of collisions of atoms with two-channel zero-range interaction in an atomic waveguide is solved by using of a renormalization procedure. A matching of the solution to a solution of the related one-dimensional problem leads to…

Statistical Mechanics · Physics 2007-05-23 V. A. Yurovsky

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