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We present a detailed analysis of the two-channel atom-molecule effective Hamiltonian for an ultracold two-component homogeneous Fermi gas interacting near a Feshbach resonance. We particularly focus on the two-body and many-body properties…

Other Condensed Matter · Physics 2014-11-17 G. M. Falco , H. T. C. Stoof

We present an analytical study of three-state Feshbach resonances induced by second-order couplings. Such resonances arise when the scattering amplitude is modified by the interaction with a bound state that is not directly coupled to the…

Atomic Physics · Physics 2008-02-21 Christopher J. Hemming , Roman V. Krems

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

Low dimensional behavior of two ultra-cold atoms trapped in two-and one-dimensional waveguides is investigated in the vicinity of a magnetic Feshbach resonance. A quantitative two-channel model for the Feshbach mechanism is used allowing an…

Quantum Gases · Physics 2015-04-17 Tom Kristensen , Ludovic Pricoupenko

We discuss $s$-wave scattering in an atomic binary collision with two coupled channels, tunable by an external magnetic field, one channel open and the other closed for the incident energies considered. The analysis is performed with a…

Quantum Gases · Physics 2023-06-16 G. Andrade-Sanchez , V. Romero-Rochin

We present a new two-channel integrable model describing a system of spinless fermions interacting through a p-wave Feshbach resonance. Unlike the BCS-BEC crossover of the s-wave case, the p-wave model has a third order quantum phase…

Quantum Gases · Physics 2011-09-29 S. Lerma H. , S. M. A. Rombouts , J. Dukelsky , G. Ortiz

Feshbach resonances in ultracold collisions often result from an interplay between many collision channels. Simple two-channel models can be introduced to capture the basic features, but cannot fully reproduce the situation when several…

Atomic Physics · Physics 2013-11-07 Krzysztof Jachymski , Paul S. Julienne

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

A low energy effective theory based on a microscopic multi-channel description of the atom-atom interaction is derived for the scattering of alkali atoms in different hyperfine states. This theory describes all scattering properties,…

Other Condensed Matter · Physics 2007-05-23 G. M. Bruun , A. D. Jackson , E. E. Kolomeitsev

We report a unique feature of magnetic field Feshbach resonances in which atoms collide with non-zero orbital angular momentum. P-wave ($l=1$) Feshbach resonances are split into two components depending on the magnitude of the resonant…

Atomic Physics · Physics 2009-11-10 C. Ticknor , C. A. Regal , D. S. Jin , J. L. Bohn

Hermann Feshbach predicted fifty years ago that when two atomic nuclei are scattered within an open entrance channel-- the state observable at infinity, they may enter an intermediate closed channel -- the locally bounded state of the…

Quantum Physics · Physics 2008-12-03 D. Z. Xu , H. Ian , T. Shi , H. Dong , C. P. Sun

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 analyze a system of two-component fermions which interact via a Feshbach resonance in the presence of a three-dimensional lattice potential. By expressing a two-channel model of the resonance in the basis of Bloch states appropriate for…

Quantum Gases · Physics 2013-07-18 M. L. Wall , L. D. Carr

Employing a short-range two-channel description we derive an analytic model of atoms in isotropic and anisotropic harmonic traps at a Feshbach resonance. On this basis we obtain a new parameterization of the energy-dependent scattering…

Quantum Gases · Physics 2011-03-09 Philipp-Immanuel Schneider , Yulian V. Vanne , Alejandro Saenz

In systems of ultracold atoms, pairwise interactions can be resonantly enhanced by a new mechanism which does not rely upon a magnetic Feshbach resonance. In this mechanism, interactions are controlled by tuning the frequency of an…

Quantum Gases · Physics 2015-10-14 D. H. Smith

We have studied interspecies scattering in an ultracold mixture of $^{87}$Rb and $^{133}$Cs atoms, both in their lowest-energy spin states. The three-body loss signatures of 30 incoming s- and p-wave magnetic Feshbach resonances over the…

We present a simple one-dimensional example of a spin 1/2 particle submitted to a delta-type potential which interacs differently with the two components of the wavefunction and to an external magnetic field. It has two coupled channels,…

Atomic Physics · Physics 2012-10-01 Josep Taron

The two-body bound and scattering properties in an one-dimensional harmonic waveguide close to free space magnetic Feshbach resonances are investigated based on the local frame transformation approach within a single partial wave…

Quantum Gases · Physics 2016-08-24 Gaoren Wang , Panagiotis Giannakeas , Peter Schmelcher

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

Modeling the underlying pairing mechanism of charge carriers in strongly correlated electrons, starting from a microscopic theory, is among the central challenges of condensed-matter physics. Hereby, the key task is to understand what…

Strongly Correlated Electrons · Physics 2024-03-21 Lukas Homeier , Pit Bermes , Fabian Grusdt