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Techniques to deal with Feshbach resonances are applied to describe resonant light scattering off one dimensional photonic crystal slabs. Accurate expressions for scattering amplitudes, free of any fitting parameter, are obtained for…

Optics · Physics 2012-09-26 I. Evenor , E. Grinvald , F. Lenz , S. Levit

Feshbach resonances are the essential tool to control the interaction between atoms in ultracold quantum gases. They have found numerous experimental applications, opening up the way to important breakthroughs. This Review broadly covers…

Other Condensed Matter · Physics 2010-05-04 Cheng Chin , Rudolf Grimm , Paul Julienne , Eite Tiesinga

In this chapter, we describe scattering resonance phenomena in general, and focus on the mechanism of Feshbach resonances, for which a multi-channel treatment is required. We derive the dependence of the scattering phase shift on magnetic…

Quantum Gases · Physics 2017-08-23 S. J. J. M. F. Kokkelmans

We consider a possibility to describe the Feshbach resonance in terms of the Boson Fermion (BF) model. Using such model we show that after a gradual disentangling of the boson from fermion subsystem the resonant type scattering between…

Superconductivity · Physics 2009-11-10 T. Domanski

Feshbach resonances are fundamental to interparticle interactions and become particularly important in cold collisions with atoms, ions, and molecules. Here we present the detection of Feshbach resonances in a benchmark system for strongly…

Feshbach scattering resonances are being utilized in atomic gases to explore the entire crossover region from a Bose-Einstein Condensation (BEC) of composite bosons to a Bardeen-Cooper-Schrieffer (BCS) of Cooper pairs. Several theoretical…

Superconductivity · Physics 2009-11-10 S. De Palo , M. L. Chiofalo , M. J. Holland , S. J. J. M. F. Kokkelmans

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…

Feshbach resonances play a vital role in the success of cold atoms investigating strongly-correlated physics. The recent observation of their solid-state analog in the scattering of holes and intralayer excitons in transition metal…

Mesoscale and Nanoscale Physics · Physics 2025-03-11 Marcel Wagner , Rafał Ołdziejewski , Félix Rose , Verena Köder , Clemens Kuhlenkamp , Ataç İmamoğlu , Richard Schmidt

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

We present a new spectroscopy technique for studying cold-collision properties. The technique is based on the association and dissociation of ultracold molecules using a magnetically tunable Feshbach resonance. The energy and lifetime of a…

Statistical Mechanics · Physics 2007-05-23 Thomas Volz , Stephan Dürr , Niels Syassen , Gerhard Rempe , Eric van Kempen , Servaas Kokkelmans

Magnetically tunable scattering resonances have been used with great success for precise control of s-wave scattering lengths in ultracold atomic collisions. We describe relatively simple yet quite powerful analytic treatments of such…

Atomic Physics · Physics 2009-11-13 Paul S. Julienne , Bo Gao

Feshbach resonances - namely resonances between an unbound two-body state (atomic state) and a bound (molecular) state, differing in magnetic moment - are a unique tool to tune the interaction properties of ultracold atoms. Here we show…

Quantum Gases · Physics 2015-05-20 Laurent de Forges de Parny , Valy G. Rousseau , Tommaso Roscilde

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…

Strongly confining an ultracold atomic gas in one direction to create a quasi-2D system alters the scattering properties of this gas. We investigate the effects of confinement on Feshbach scattering resonances and show that strong…

Condensed Matter · Physics 2009-11-10 M. Wouters , J. Tempere , J. T. Devreese

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

The physics of Feshbach resonance is analyzed using an analytic expression for the $s$-wave scattering phase-shift and the scattering length $a$ which we derive within a two-channel tight-binding model. Employing a unified treatment of…

Quantum Gases · Physics 2015-06-16 Y. Avishai , Y. B. Band , M. Trippenbach

We consider Feshbach scattering of fermions in a one-dimensional optical lattice. By formulating the scattering theory in the crystal momentum basis, one can exploit the lattice symmetry and factorize the scattering problem in terms of…

Atomic and Molecular Clusters · Physics 2009-11-13 M. Grupp , R. Walser , W. P. Schleich , A. Muramatsu , M. Weitz

We consider a quantum model of two-channel scattering to describe the mechanism of a Feshbach resonance. We perform a rigorous analysis in order to count and localize the energy resonances in the perturbative regime, i.e., for small…

Mathematical Physics · Physics 2019-10-01 R. Carlone , M. Correggi , D. Finco , A. Teta

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

Two-particle scattering in graphene is a multichannel problem, where the energies of the identical or opposite-helicity channels lie in disjoint energy segments. Due to the absence of Galilean invariance, these segments depend on the total…

Mesoscale and Nanoscale Physics · Physics 2014-01-23 C. Gaul , F. Domínguez-Adame , F. Sols , I. Zapata
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