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When two atoms interact in the presence of an anharmonic potential, such as an optical lattice, the center of mass motion cannot be separated from the relative motion. In addition to generating a confinement-induced resonance (or shifting…

Quantum Gases · Physics 2015-03-13 J. P. Kestner , L. -M. Duan

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

We study collisions in an optically trapped, pure sample of ultracold Cs$_2$ molecules in various internal states. The molecular gas is created by Feshbach association from a near-degenerate atomic gas, with adjustable temperatures in the…

Quantum Gases · Physics 2015-05-13 F. Ferlaino , S. Knoop , M. Berninger , M. Mark , H. -C. Naegerl , R. Grimm

Helium atoms in the metastable $2^3{S_{1}}$ state (He$^*$) have unique advantages for ultracold atomic experiments. However, there is no known accessible Feshbach resonance in He$^*$, which could be used to manipulate the scattering length…

Quantum Gases · Physics 2021-09-29 T. M. F. Hirsch , D. G. Cocks , S. S. Hodgman

Ultracold atomic gases have realised numerous paradigms of condensed matter physics where control over interactions has crucially been afforded by tunable Feshbach resonances. So far, the characterisation of these Feshbach resonances has…

Quantum Gases · Physics 2017-09-07 Milena S. J. Horvath , Ryan Thomas , Eite Tiesinga , Amita B. Deb , Niels Kjærgaard

Magnetically tunable Feshbach resonances exist in ultracold collisions between atoms in $^2$S and $^3$P$_0$ states, such as an alkali-metal atom colliding with Yb or Sr in a clock state. We investigate the mechanisms of these resonances and…

Atomic Physics · Physics 2023-02-15 Bijit Mukherjee , Matthew D. Frye , Jeremy M. Hutson

Experimental studies with ultracold atoms have enabled major breakthroughs in understanding three-body physics, historically a fundamental yet challenging problem. This is because the interactions among ultracold atoms can be precisely…

Atomic Physics · Physics 2014-11-05 Yujun Wang , Paul S. Julienne

We calculate numerically the exact energy spectrum of the six dimensional problem of two interacting Bosons in a three-well optical lattice. The particles interact via a full Born-Oppenheimer potential which can be adapted to model the…

Quantum Physics · Physics 2010-12-16 Philipp-Immanuel Schneider , Sergey Grishkevich , Alejandro Saenz

We study atom losses associated to a previously unreported magnetic Feshbach resonance in potassium 39. This resonance is peculiar in that it presents $d$-wave character both in the open and in the closed channels, directly coupled by the…

We consider the magnetically tunable Feshbach resonances that may exist in ultracold mixtures of molecules in $^2\Sigma$ states and alkali-metal atoms. We focus on Rb+CaF as a prototype system. There are likely to be Feshbach resonances…

Atomic Physics · Physics 2023-06-05 Robert C. Bird , Michael R. Tarbutt , Jeremy M. Hutson

We analyse scattering of a heavy atom off a weakly bound molecule comprising an identical heavy and a light atom in the Born-Oppenheimer approximation. We focus on the situation where the heavy atoms are bosons, which was realized in…

Quantum Physics · Physics 2013-05-29 M. A. Efremov , L. Plimak , B. Berg , M. Yu. Ivanov , W. P. Schleich

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

By employing an analytically solvable model including the Duschinsky rotation effect, we investigated the applicability of the commonly used Born-Oppenheimer (BO) approximation for separating the proton and proton donor-acceptor motions in…

Chemical Physics · Physics 2015-05-19 Renhui Zheng , Yuanyuan Jing , Liping Chen , Qiang Shi

The problem of proton-antiproton motion in the ${\rm H}$--${\rm \bar{H}}$ system is investigated by means of the variational method. We introduce a modified nuclear interaction through mass-scaling of the Born-Oppenheimer potential. This…

Quantum Physics · Physics 2015-06-04 Henrik Stegeby , Konrad Piszczatowski , Hans O Karlsson , Roland Lindh , Piotr Froelich

Compared to purely atomic collisions, ultracold collisions involving molecules have the potential to support a much larger number of Fano-Feshbach resonances due to the huge amount of ro-vibrational states available. In order to handle such…

Atomic Physics · Physics 2015-06-04 Michael Mayle , Brandon P. Ruzic , John L. Bohn

We have observed 69 $^{41}$K-$^6$Li interspecies Feshbach resonances including 13 elastic p-wave resonances and 6 broad d-wave resonances of $^{41}$K atoms in different spin-state combinations at fields up to 600~G. Multi-channel quantum…

Quantum Gases · Physics 2020-01-31 Xiang-Pei Liu , Xing-Can Yao , Ran Qi , Xiao-Qiong Wang , Yu-Xuan Wang , Yu-Ao Chen , Jian-Wei Pan

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 report on the creation of heterospecies bosonic molecules, associated from an ultracold Bose-Bose mixture of 41K and 87Rb, by using a resonantly modulated magnetic field close to two Feshbach resonances. We measure the binding energy of…

Other Condensed Matter · Physics 2009-01-29 C. Weber , G. Barontini , J. Catani , G. Thalhammer , M. Inguscio , F. Minardi

Feshbach resonances, first studied in the context of nuclear reactions, have since become a cornerstone of modern atomic physics. They offer a remarkable degree of control over interatomic (and even intermolecular) interactions by tuning…

Physics Education · Physics 2026-05-22 Ettore Vitali , Gino Gamboni

We have generalized the BOUND and MOLSCAT packages to allow calculations in basis sets where the monomer Hamiltonians are off-diagonal and used the new capability to carry out bound-state and scattering calculations on 3He-NH and 4He-NH as…

Atomic Physics · Physics 2009-03-25 Maykel Leonardo Gonzalez-Martinez , Jeremy M. Hutson