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A detailed study of the anharmonicity-induced resonances caused by the coupling of center-of-mass and relative motion is presented for a system of two ultracold atoms in single-well potentials. As has been confirmed experimentally, these…

Quantum Gases · Physics 2016-09-07 Simon Sala , Alejandro Saenz

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

A previously developed approach for the numerical treatment of two particles that are confined in a finite optical-lattice potential and interact via an arbitrary isotropic interaction potential has been extended to incorporate an…

Quantum Gases · Physics 2014-12-10 Bruno Schulz , Simon Sala , Alejandro Saenz

We theoretically investigate the role of confinement-induced resonances (CIRs) in low-dimensional ultracold atomic mixtures for the formation of weakly bound dimers. To this end, we examine the scattering properties of a binary atomic…

Particle-like excitations, or quasi-particles, emerging from interacting fermionic and bosonic quantum fields underlie many intriguing quantum phenomena in high energy and condensed matter systems. Computation of the properties of these…

Quantum Gases · Physics 2023-08-29 Krutik Patel , Geyue Cai , Henry Ando , Cheng Chin

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

In the absence of inelastic scattering, Feshbach resonances produce poles in scattering lengths and very large peaks in elastic cross sections. However, inelastic scattering removes the poles. Whenever the resonant state is coupled…

Atomic Physics · Physics 2007-06-13 Jeremy M. Hutson

We study the quasiparticle excitation and quench dynamics of the one-dimensional transverse-field Ising model with power-law ($1/r^{\alpha}$) interactions. We find that long-range interactions give rise to a confining potential, which…

Feshbach resonances are an invaluable tool in atomic physics, enabling precise control of interactions and the preparation of complex quantum phases of matter. Here, we theoretically analyze a solid-state analogue of a Feshbach resonance in…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 Clemens Kuhlenkamp , Michael Knap , Marcel Wagner , Richard Schmidt , Atac Imamoglu

We investigate the phase diagram of bosons interacting via Feshbach-resonant pairing interactions in a one-dimensional lattice. Using large scale density matrix renormalization group (DMRG) and field theory techniques we explore the atomic…

Quantum Gases · Physics 2015-05-20 S. Ejima , M. J. Bhaseen , M. Hohenadler , F. H. L. Essler , H. Fehske , B. D. Simons

Bound states and collisions of atoms with two-channel two-body interactions in harmonic waveguides are analyzed. The closed-channel contributions to two-atom bound states become dominant in the case of a weak resonance. At low energies and…

Atomic Physics · Physics 2007-05-23 V. A. Yurovsky

The Heisenberg-Ising spin ladder is one of the few short-range models showing confinement of elementary excitations without the need of an external field, neither transverse nor longitudinal. This feature makes the model suitable for an…

Statistical Mechanics · Physics 2021-09-30 Gianluca Lagnese , Federica Maria Surace , Márton Kormos , Pasquale Calabrese

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

The use of Feshbach resonances for tuning the interparticle interaction in ultracold Fermi gases has led to remarkable developments, in particular to the creation and Bose-Einstein condensation of weakly bound diatomic molecules of…

Other Condensed Matter · Physics 2008-10-13 D. S. Petrov , C. Salomon , G. V. Shlyapnikov

We study quasi-one-dimensional scattering of one and two particles with short-range interactions on a discrete lattice model in two dimensions. One of the directions is tightly confined by an arbitrary trapping potential. We obtain the…

Quantum Physics · Physics 2015-05-28 Manuel Valiente , Klaus Molmer

We consider coherently-coupled bosonic mixtures scattering at low energies in the presence of an external confinement along either one or two directions. We exactly solve the two-body scattering problem, showing that for large Rabi coupling…

Quantum Gases · Physics 2026-03-17 Andrea Tononi , Pietro Massignan

We observe a magnetic Feshbach resonance in a collision between the ground and metastable states of two-electron atoms of ytterbium (Yb). We measure the on-site interaction of doubly-occupied sites of an atomic Mott insulator state in a…

Quantum Gases · Physics 2013-05-01 Shinya Kato , Seiji Sugawa , Kosuke Shibata , Ryuta Yamamoto , Yoshiro Takahashi

We study collisions in an optically trapped, pure sample of ultracold Cs$_2$ molecules in various internal states. The molecular gas is created by Feshbach association from a near-degenerate atomic gas, with adjustable temperatures in the…

Quantum Gases · Physics 2015-05-13 F. Ferlaino , S. Knoop , M. Berninger , M. Mark , H. -C. Naegerl , R. Grimm

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

We report numerically exact quantum scattering calculations on magnetic Feshbach resonances in ultracold, strongly anisotropic atom-molecule [Rb($^2$S) + SrF($^2\Sigma^+$)] collisions based on state-of-the-art ab initio potential energy…