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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

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

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

The projection-operator formalism of Feshbach is applied to resonance scattering in a single-channel case. The method is based on the division of the full function space into two segments, internal (localized) and external (infinitely…

We study the propagation of an atom laser beam through a spatial region with a magnetic field tuned to a Feshbach resonance. Tuning the magnetic field below the resonance produces an effective focusing Kerr medium that causes a modulational…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Weiping Zhang , Chris P. Search , Han Pu , Pierre Meystre , Ewan M. Wright

A deformed dielectric microcavity is used as an experimental platform for the analysis of the statistics of chaotic resonances, in the perspective of testing fractal Weyl laws at optical frequencies. In order to surmount the difficulties…

Chaotic Dynamics · Physics 2017-07-26 Domenico Lippolis , Li Wang , Yun-Feng Xiao

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

Overlapping Feshbach resonances are commonly observed in experiments with ultracold atoms and can influence the molecule production process. We derive an effective approach to describe magnetoassociation in an external trap in the presence…

Atomic Physics · Physics 2016-10-12 Krzysztof Jachymski

The effective Hamiltonian formalism is extended to vectorial electromagnetic waves in order to describe statistical properties of the field in reverberation chambers. The latter are commonly used in electromagnetic compatibility tests. As a…

Mesoscale and Nanoscale Physics · Physics 2016-03-09 J. -B. Gros , U. Kuhl , O. Legrand , F. Mortessagne

In collisions at ultralow temperatures, molecules will possess Feshbach resonances, foreign to ultracold atoms, whose virtual excited states consist of rotations of the molecules. We estimate the mean spacing and mean widths of these…

Atomic Physics · Physics 2009-11-07 J. L. Bohn , A. V. Avdeenkov , M. P. Deskevich

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 investigate ultracold magnetic-field-assisted collisions in the so far unexplored ErYb system. The nonsphericity of the Er atom leads to weakly anisotropic interactions that provide the mechanism for Feshbach resonances to emerge. The…

Atomic Physics · Physics 2020-04-22 Maciej B. Kosicki , Mateusz Borkowski , Piotr S. Żuchowski

While Efimov physics in ultracold atoms is usually modeled with an isolated Feshbach resonance many real world resonances appear in close vicinity to each other and are therefore overlapping. Here we derive a realistic model based on the…

Quantum Gases · Physics 2021-06-16 Yaakov Yudkin , Lev Khaykovich

We derive the photocount statistics of the radiation emitted from a chaotic laser resonator in the regime of single-mode lasing. Random spatial variations of the resonator eigenfunctions lead to strong mode-to-mode fluctuations of the laser…

Quantum Physics · Physics 2009-11-07 G. Hackenbroich , C. Viviescas , B. Elattari , F. Haake

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

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

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

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

Concepts from the field of wave chaos have been shown to successfully predict the statistical properties of linear electromagnetic fields in electrically large enclosures. The Random Coupling Model (RCM) describes these properties by…

Chaotic Dynamics · Physics 2017-10-16 Min Zhou , Edward Ott , Thomas M. Antonsen , Steven M. Anlage

We calculate and analyze Feshbach resonance spectra for ultracold Yb($^1$S$_0$) + Yb($^3$P$_2$) collisions as a function of an interatomic potential scaling factor $\lambda$ and external magnetic field. We show that, at zero field, the…