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Cold inelastic collisions of atoms or molecules are analyzed using very general arguments. In free space, the deactivation rate can be enhanced or suppressed together with the scattering length of the corresponding elastic collision via a…

Atomic Physics · Physics 2007-05-23 V. A. Yurovsky , Y. B. Band

The different resonant regimes that can be achieved by using a magnetic Feshbach resonance are analyzed with a separable two-channel model. Emphasis is put on the case of narrow resonances in a region of intermediate detuning where a…

Quantum Gases · Physics 2012-07-17 Ludovic Pricoupenko , Mattia Jona Lasinio

We present a detailed study of the scattering properties of ultracold mixtures of bosonic potassium atoms. We locate 20 previously unobserved Feshbach resonances in isotopic 39K-41K mixtures. These are assigned to s-wave molecular channels…

Quantum Gases · Physics 2019-01-02 L. Tanzi , C. R. Cabrera , J. Sanz , P. Cheiney , M. Tomza , L. Tarruell

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 present the theory of an atomic gas in an optical lattice near a Feshbach resonance. We derive from first principles a generalized Hubbard model, that incorporates all the relevant two-body physics exactly, except for the background…

Statistical Mechanics · Physics 2009-11-11 K. B. Gubbels , D. B. M. Dickerscheid , H. T. C. Stoof

Feshbach resonances in ultra-cold atomic gases have led to some of the most important advances in atomic physics. They did not only enable ground breaking work in the BEC-BCS crossover regime [1], but are also widely used for the…

Atomic Physics · Physics 2018-07-04 Oliver Thomas , Carsten Lippe , Tanita Eichert , Herwig Ott

We consider nonlinear effects in scattering of light by a periodic structure supporting optical bound states in the continuum. In the spectral vicinity of the bound states the scattered electromagnetic field is resonantly enhanced…

Optics · Physics 2019-02-18 Evgeny N. Bulgakov , Dmitrii N. Maksimov

We examine dark quantum superposition states of weakly bound Rb2 Feshbach molecules and tightly bound triplet Rb2 molecules in the rovibrational ground state, created by subjecting a pure sample of Feshbach molecules in an optical lattice…

We report on the observation of five Feshbach resonances in collisions between ultracold $^7$Li and $^{87}$Rb atoms in the absolute ground state mixture where both species are in their $|f,m_f>=|1,1>$ hyperfine states. The resonances appear…

Other Condensed Matter · Physics 2009-11-13 C. Marzok , B. Deh , C. Zimmermann , Ph. W. Courteille , E. Tiemann , Y. V. Vanne , A. Saenz

We study the exact solution for two atomic particles in an optical lattice interacting via a Feshbach resonance. The analysis includes the influence of all higher bands, as well as the proper renormalization of molecular energy in the…

Quantum Gases · Physics 2015-05-14 H. P. Büchler

We study the behavior of the Eisenbud-Wigner collisional time delay around Feshbach resonances in cold and ultracold atomic and molecular collisions. We carry out coupled-channels scattering calculations on ultracold Rb and Cs collisions.…

Atomic Physics · Physics 2019-10-23 Matthew D. Frye , Jeremy M. Hutson

We investigate confinement-induced resonances in a system composed by a tightly trapped ion and a moving atom in a waveguide. We determine the conditions for the appearance of such resonances in a broad region -- from the "long-wavelength"…

Atomic Physics · Physics 2016-08-24 Vladimir S. Melezhik , Antonio Negretti

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 perform a model-independent, non-perturbative investigation of two-point and three-point finite-volume correlation functions in the energy regime where two-particle states can go on-shell. We study three-point functions involving a…

High Energy Physics - Lattice · Physics 2015-03-05 Raúl A. Briceño , Maxwell T. Hansen , André Walker-Loud

The effects of combined external electric and magnetic fields on elastic collisions in ultracold Li--Rb mixtures is studied using recently obtained, experimentally verified potentials. Our analysis provides both quantitative predictions for…

Other Condensed Matter · Physics 2009-09-14 Zhiying Li , Kirk W. Madison

We extend our previous investigations of fermionic condensation in broad Feshbach resonances by using the two-channel model developed for narrow Feshbach resonances. We investigate two crossovers: the BCS-BEC crossover by changing the…

Quantum Gases · Physics 2012-11-19 Luca Salasnich

One of the most intriguing topological features of open systems is exhibiting exceptional point (EP) singularities. Apart from the widely explored second-order EPs (EP2s), the explorations of higher-order EPs in any system requires more…

Optics · Physics 2020-07-01 Arnab Laha , Dinesh Beniwal , Sibnath Dey , Abhijit Biswas , Somnath Ghosh

We study the post-quench dynamics of unitary Bose gases using a two-channel model, focusing on the effect of variations in the width of the Feshbach resonance due to density changes. We generally find that increasing the density leads to a…

Quantum Gases · Physics 2022-08-31 D. J. M. Ahmed-Braun , S. Musolino , V. E. Colussi , S. J. J. M. F. Kokkelmans

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

Resonant states underlie a variety of metastructures that exhibit remarkable capabilities for effective control of acoustic waves at subwavelength scales. The development of metamaterials relies on the rigorous mode engineering providing…

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