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We study atom-ion scattering in the ultracold regime. To this aim, an analytical model based on the multichannel quantum defect formalism is developed and compared to close-coupled numerical calculations. We investigate the occurrence of…

Atomic Physics · Physics 2009-02-13 Zbigniew Idziaszek , Tommaso Calarco , Paul S. Julienne , Andrea Simoni

We study a dilute mixture of degenerate bosons and fermions across a Feshbach resonance of the Fermi-Fermi scattering length $a_F$. This scattering length is renormalized by the boson-induced interaction between fermions and its value is…

Other Condensed Matter · Physics 2009-11-13 Luca Salasnich , Flavio Toigo

The scattering of quasiperiodic waves for a two-dimensional Helmholtz equation with a constant refractive index perturbed by a function which is periodic in one direction and of finite support in the other is considered. The scattering…

Mathematical Physics · Physics 2019-10-23 P. Zhevandrov , A. Merzon , M. I. Romero Rodríguez , J. E. de la Paz Méndez

Spectroscopic studies of few-body systems at ultracold temperatures provide valuable information that often cannot be extracted in a hot environment. Considering a pair of atoms, we propose a cooling mechanism that makes use of a scattering…

Atomic Physics · Physics 2009-11-07 J. W. Dunn , D. Blume , Bogdan Borca , B. E. Granger , Chris H. Greene

We investigate finite-range effects in systems with three identical bosons. We calculate recombination rates and bound state spectra using two different finite-range models that have been used recently to describe the physics of cold atomic…

Quantum Gases · Physics 2013-03-15 P. K. Sørensen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We propose a novel scheme to efficiently tune the scattering length of two colliding ground-state atoms by off-resonantly coupling the scattering-state to an excited Rydberg-molecular state using laser light. For the s-wave scattering of…

Quantum Gases · Physics 2017-10-04 Nóra Sándor , Rosario González-Férez , Paul S. Julienne , Guido Pupillo

We consider the scattering of linear waves in two dimensions by a rectangular region at the junction of four waveguides. A solution to the frequency domain problem is obtained by exploiting reflective symmetry to reduce the full problem to…

Mathematical Physics · Physics 2024-11-28 Afnan A. Aldosri , Michael H. Meylan , Ben Wilks

We demonstrate a novel method of inducing an optical Feshbach resonance based on a coherent free-bound stimulated Raman transition. In our experiment atoms in a Rb87 Bose-Einstein condensate are exposed to two phase-locked Raman laser beams…

Other Condensed Matter · Physics 2009-11-10 Gregor Thalhammer , Matthias Theis , Klaus Winkler , Rudolf Grimm , Johannes Hecker Denschlag

We observe interspecies Feshbach resonances due to s-wave bound states in ultracold $^{39}$K-$^{133}$Cs scattering for three different spin mixtures. The resonances are observed as joint atom loss and heating of the K sample. We perform…

We consider weakly bound diatomic molecules (dimers) formed in a two-component atomic Fermi gas with a large positive scattering length for the interspecies interaction. We develop a theoretical approach for calculating atom-dimer and…

Statistical Mechanics · Physics 2009-02-05 D. S. Petrov , C. Salomon , G. V. Shlyapnikov

Controlling physical systems and their dynamics on the level of individual quanta propels both fundamental science and quantum technologies. Trapped atomic and molecular systems, neutral and charged, are at the forefront of quantum science.…

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

The virial expansion for cold two-component Fermi and Bose atomic gases is considered in the presence of a waveguide and in the vicinity of a Feshbach resonance. The interaction between atoms and the coupling with the Feshbach molecules is…

Quantum Gases · Physics 2016-07-06 Tom Kristensen , Xavier Leyronas , Ludovic Pricoupenko

In the formulation of the problem of scattering of monochromatic waves and the numerical simulation of the solution to the Helmholtz equation, there is a computational inconvenience: the calculation is performed on a finite grid of…

Plasma Physics · Physics 2023-01-20 Vladimir V. Gorin

We develop the effective non-Hermitian Hamiltonian approach for open systems with Neumann boundary conditions. The approach can be used for calculating the scattering matrix and the scattering function in open resonator-waveguide systems.…

Quantum Physics · Physics 2015-04-14 Dmitrii N. Maksimov , Almas F. Sadreev , Alina A. Lyapina , Artem S. Pilipchuk

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

Magnetic Feshbach resonances are an invaluable tool for controlling ultracold atoms and molecules. They can be used to tune atomic interactions and have been used extensively to explore few- and many-body phenomena. They can also be used…

In quantum mechanics, collisions between two particles are captured by a scattering matrix which describes the transfer from an initial entrance state to an outgoing final state. Analyticity of the elements of this $S$-matrix enables their…

Quantum Gases · Physics 2021-09-08 Matthew Chilcott , Ryan Thomas , Niels Kjærgaard

A Green's function formalism to analyze the scattering properties in confined geometries is developed. This includes scattering from a central field inside the guide created e.g. by impurities. For atomic collisions our approach applies to…

Quantum Physics · Physics 2007-05-23 Ji il Kim , Joerg Schmiedmayer , Peter Schmelcher

Experimental studies with ultracold atoms have enabled major breakthroughs in understanding three-body physics, historically a fundamental yet challenging problem. This is because the interactions among ultracold atoms can be precisely…

Atomic Physics · Physics 2014-11-05 Yujun Wang , Paul S. Julienne