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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

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

We have measured independently both s-wave and p-wave cross-dimensional thermalization rates for ultracold potassium-40 atoms held in a magnetic trap. These measurements reveal that this fermionic isotope has a large positive s-wave triplet…

Condensed Matter · Physics 2012-08-27 B. DeMarco , J. L. Bohn , J. P. Burke, , M. Holland , D. S. Jin

We study the weak-tunnelling limit for a system of cold 40K atoms trapped in a one-dimensional optical lattice close to an s-wave Feshbach resonance. We calculate the local spectrum for three atoms at one site of the lattice within a…

Quantum Gases · Physics 2010-02-26 T. Duric , A. F. Ho , D . K. K. Lee

In the first part, we investigate the effect of long range particle exchange in ideal bosonic chains. We establish that by using the Heisenberg formalism along with matrix product state representation we can study the evolution as well as…

Quantum Physics · Physics 2010-02-23 Jose Reslen

The theory of the long-range interaction of metastable excited atomic states with ground-state atoms is analyzed. We show that the long-range interaction is essentially modified when quasi-degenerate states are available for virtual…

Atomic Physics · Physics 2017-02-15 C. M. Adhikari , V. Debierre , A. Matveev , N. Kolachevsky , U. D. Jentschura

We provide an overview of experiments exploring resonances in the collision of ultracold clouds of atoms. Using a laser-based accelerator that capitalizes on the energy resolution provided by the ultracold atomic setting, we unveil…

Quantum Gases · Physics 2024-06-05 Matthew Chilcott , Samyajit Gayen , James Croft , Ryan Thomas , Niels Kjærgaard

The combination of density functional theory with other approaches to the many-electron problem through the separation of the electron-electron interaction into a short-range and a long-range contribution is a promising method, which is…

Materials Science · Physics 2009-11-11 Paola Gori-Giorgi , Andreas Savin

The expectation value of the Hamiltonian using a model wave function is widely used to estimate the eigenvalues of electronic Hamiltonians. We explore here a modified formula for models based on long-range interaction. It scales differently…

Chemical Physics · Physics 2024-06-13 Anthony Scemama , Andreas Savin

Understanding the intriguing physical effects of long-range interactions is a common theme in a host of physical systems. In this work, based on the classical screened Coulomb interacting ring model, we investigate the dynamical effects of…

Soft Condensed Matter · Physics 2021-05-10 Zhenwei Yao

The Feshbach resonance provides precise control over the scattering length and effective range of interactions between ultracold atoms. We propose the ultratransferable pseudopotential to model effective interaction ranges $-1.5 \leq…

Quantum Gases · Physics 2017-08-31 L. M. Schonenberg , P. C. Verpoort , G. J. Conduit

A Feshbach resonance occurs when the energy of two interacting free particles comes to resonance with a molecular bound state. When approaching this resonance, dramatic changes in the interaction strength between the particles occur.…

Mesoscale and Nanoscale Physics · Physics 2015-04-17 Naotomo Takemura , Stéphane Trebaol , Michiel Wouters , Marcia T. Portella-Oberli , Benoit Deveaud

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

Recently an improved long-range model for electrolyte solutions was developed that is applicable from infinite dilution to pure salt. This paper tests this claim for the first time applying it to the calculation of liquid-liquid equilibria…

Soft Condensed Matter · Physics 2023-04-05 Hugo Marques , Andrés González de Castilla , Simon Müller , Irina Smirnova

We use a full coupled channels method to calculate collisional properties of magnetically or optically trapped ultracold 6Li. The magnetic field dependence of the s-wave scattering lengths of several mixtures of hyperfine states are…

Statistical Mechanics · Physics 2009-10-30 M. Houbiers , H. T. C. Stoof , W. I. McAlexander , R. G. Hulet

We report the observation of three p-wave Feshbach resonances of $^6$Li atoms in the lowest hyperfine state $f=1/2$. The positions of the resonances are in good agreement with theory. We study the lifetime of the cloud in the vicinity of…

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

Using a two-channel model, we investigate theoretically the binding energy of confinement-induced Feshbach molecules in two- and one-dimensional ultracold atomic systems, near a Feshbach resonance. We show that the two-channel prediction…

Quantum Gases · Physics 2012-10-09 Shi-Guo Peng , Hui Hu , Xia-Ji Liu , Kaijun Jiang

In the vicinity of a Feshbach resonance, a system of ultracold atoms on an optical lattice undergoes rich physical transformations which involve molecule formation and hopping of molecules on the lattice and thus goes beyond a single-band…

Quantum Gases · Physics 2015-11-20 A. Dirks , K. Mikelsons , H. R. Krishnamurthy , J. K. Freericks

The linear and nonlinear processes in ferromagnetic films at low temperatures T<< Tc are studied in a microscopic theory. Both the long-range magnetic dipole-dipole and the Heisenberg exchange interactions to nearest and next-nearest…

Strongly Correlated Electrons · Physics 2009-10-31 R. N. Costa Filho , M. G. Cottam , G. A. Farias