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We provide a comprehensive comparison of a coupled channels calculation, the asymptotic bound state model (ABM), and the multichannel quantum defect theory (MQDT). Quantitative results for $^6$Li -$^{133}$Cs are presented and compared to…

A Feshbach resonance arises in cold atom scattering due to the complex interplay between several coupled channels. However, the essential physics of the resonance may be encapsulated in a simplified model consisting of just two coupled…

Other Condensed Matter · Physics 2009-11-11 Nicolai Nygaard , Barry I. Schneider , Paul S. Julienne

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

Bound states and collisions of atoms with two-channel two-body interactions in harmonic waveguides are analyzed. The closed-channel contributions to two-atom bound states become dominant in the case of a weak resonance. At low energies and…

Atomic Physics · Physics 2007-05-23 V. A. Yurovsky

This paper investigates general and generalized differentiation properties of the optimal value function associated with perturbed optimization problems. Fundamental results on nearly convex sets and functions in infinite-dimensional spaces…

Optimization and Control · Mathematics 2025-10-24 V. S. T. Long , B. S. Mordukhovich , N. M. Nam , L. White

High Tc superconductivity in FeAs-based multilayers (pnictides), evading temperature decoherence effects in a quantum condensate, is assigned to a Feshbach resonance (called also shape resonance) in the exchange-like interband pairing. The…

We discover several magnetic Feshbach resonances in collisions of ultracold K(39) atoms, by studying atom losses and molecule formation. Accurate determination of the magnetic-field resonance locations allows us to optimize a quantum…

Atomic Physics · Physics 2009-11-13 C. D'Errico , M. Zaccanti , M. Fattori , G. Roati , M. Inguscio , G. Modugno , A. Simoni

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

We show that multichannel quantum defect theory (MQDT) can be applied successfully as an efficient computational method for cold molecular collisions in Li+NH, which has a deep and strongly anisotropic interaction potential. In this…

Chemical Physics · Physics 2013-05-10 James F. E. Croft , Jeremy M. Hutson

We develop and analyze a theoretical model which yields the shifts and widths of Feshbach resonances in an atomic waveguide. It is based on a multichannel approach for confinement-induced resonances (CIRs) and atomic transitions in the…

Atomic Physics · Physics 2015-06-11 Shahpoor Saeidian , Vladimir S. Melezhik , Peter Schmelcher

The dual continuum model serves as a powerful tool in the modeling of subsurface applications. It allows a systematic coupling of various components of the solutions. The system is of multiscale nature as it involves high heterogeneous and…

Numerical Analysis · Mathematics 2018-07-31 Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Wing Tat Leung , Maria Vasilyeva

We analyse a narrow Feshbach resonance with ultra-cold chromium atoms colliding in d-wave. The resonance is made possible by dipole-dipole interactions, which couple an incoming $l=2$ collision channel with a bound molecular state with…

Atomic Physics · Physics 2009-11-13 Q. Beaufils , A. Crubellier , T. Zanon , B. Laburthe-Tolra , E. Marechal , L. Vernac , O. Gorceix

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…

Feshbach resonances of arbitrary width are typically described in terms of two-channel models. Within these models, one usually considers a single dressed resonance, with the option to extend the analysis by including resonant open-channel…

Quantum Gases · Physics 2023-06-21 Denise Ahmed-Braun , Paul Julienne , Servaas Kokkelmans

We calculate recently observed $d$-wave Feshbach resonance [Phys. Rev. Lett. {\bf 119}, 203402 (2017)] and associated triplet structure in $^{87}$Rb-$^{85}$Rb cold collisions. We resort to a computational technique combining some features…

Chemical Physics · Physics 2023-01-10 Dibyendu Sardar , Arpita Rakshit , Somnath Naskar , Bimalendu Deb

Tunable scattering resonances are crucial for controlling atomic and molecular systems. However, their use has so far been limited to ultracold temperatures. These conditions remain hard to achieve for most hybrid trapped ion-atom systems…

Atomic Physics · Physics 2025-02-19 Maks Z. Walewski , Matthew D. Frye , Or Katz , Meirav Pinkas , Roee Ozeri , Michał Tomza

We calculate the three-body recombination rate into a shallow dimer in a gas of cold bosonic atoms near a Feshbach resonance using a two-channel contact interaction model. The two-channel model naturally describes the variation of the…

Atomic Physics · Physics 2012-04-25 P. K. Sørensen , D. V. Fedorov , A. S. Jensen

We propose a method of controlling two-atom interaction using both magnetic and laser fields. We analyse the role of quantum interference between magnetic and optical Feshbach resonances in controlling cold collision. In particular, we…

Atomic Physics · Physics 2015-05-14 Bimalendu Deb

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

We propose a new type of cooling mechanism for ultra-cold fermionic atom ensembles, which capitalizes on the energy dependence of inelastic collisions in the presence of a Feshbach resonance. We first discuss the case of a single magnetic…

Other Condensed Matter · Physics 2013-05-29 L. Mathey , Eite Tiesinga , Paul S. Julienne , Charles W. Clark