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Collisional resonances are an important tool which has been used to modify interactions in ultracold gases, for realizing novel Hamiltonians in quantum simulations, for creating molecules from atomic gases and for controlling chemical…

Quantum Gases · Physics 2023-02-06 Juliana J. Park , Yu-Kun Lu , Alan O. Jamison , Timur Tscherbul , Wolfgang Ketterle

We analyse a laser assisted sympathetic cooling scheme for atoms within the lowest Bloch band of an optical lattice. This scheme borrows ideas from sub-recoil laser cooling, implementing them in a new context in which the atoms in the…

Other Condensed Matter · Physics 2009-01-15 A. Griessner , A. J. Daley , S. R. Clark , D. Jaksch , P. Zoller

We study matter wave scattering from an ultracold, many body atomic system trapped in an optical lattice. We determine the angular cross section that a matter wave probe sees and show that it is strongly affected by the many body phase,…

Quantum Gases · Physics 2013-05-29 Scott N. Sanders , Florian Mintert , Eric J. Heller

For calculating low-energy properties of a dilute gas of atoms interacting via a Feshbach resonance, we develop an effective theory in which the parameters that enter are an atom-molecule coupling strength and the magnetic moment of the…

Statistical Mechanics · Physics 2009-11-10 G. M. Bruun , C. J. Pethick

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

The Hubbard model underlies our understanding of strongly correlated materials. While its standard form only comprises interaction between particles at the same lattice site, its extension to encompass long-range interaction, which…

Quantum Gases · Physics 2016-04-22 S. Baier , M. J. Mark , D. Petter , K. Aikawa , L. Chomaz , Zi Cai , M. Baranov , P. Zoller , F. Ferlaino

At the location of a magnetic-field Feshbach resonance, a mixture gas of fermionic atoms and dimers of fermionic atom pairs is investigated in the unitarity limit where the absolute value of the scattering length is much larger than the…

Soft Condensed Matter · Physics 2007-05-23 Hongwei Xiong , Shujuan Liu , Mingsheng Zhan

A theoretical approach was developed for an exact numerical description of a pair of ultracold atoms interacting via a central potential that are trapped in a three-dimensional optical lattice. The coupling of center-of-mass and…

Quantum Physics · Physics 2013-05-29 Sergey Grishkevich , Alejandro Saenz

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

A lattice beam configuration which results in an isotropic 3D trap near the surface of an atom chip is described. The lattice is formed near the surface of a reflectively coated atom chip, where three incident beams and three reflected…

Quantum Physics · Physics 2025-07-15 Robert Leonard , Spencer E. Olson

Physical systems with a large scattering length have universal properties independent of the details of the interaction at short distances. Such systems can be realized in experiments with cold atoms close to a Feshbach resonance. They also…

Other Condensed Matter · Physics 2008-11-26 H. -W. Hammer

Cold inelastic collisions of atoms or molecules are analyzed using very general arguments. In free space, the deactivation rate can be enhanced or suppressed together with the scattering length of the corresponding elastic collision via a…

Atomic Physics · Physics 2007-05-23 V. A. Yurovsky , Y. B. Band

We develop a model describing long-range atom-atom interactions in a two-dimensional periodic or a-periodic lattice of optical centers considering spectral and spatial broadening effects. Using both analytical and numerical Green's function…

Optics · Physics 2025-04-15 Trevor Kling , Dong-yeop Na , Mahdi Hosseini

Cold atoms confined in periodic potentials are remarkably versatile quantum systems for implementing simple models prevalent in condensed matter theory. In the current experiment, we realize the 2D Bose-Hubbard model by loading a…

Other Condensed Matter · Physics 2012-12-24 I. B. Spielman , W. D. Phillips , J. V. Porto

We show that, near a Feshbach resonance, a strong p-wave resonance is present at low energy in atom-dimer scattering for $^6$Li-$^{40}$K fermionic mixtures. This resonance is due to a virtual bound state, in the atom-dimer system, which is…

Quantum Gases · Physics 2012-06-08 R. Combescot , X. Leyronas

This work investigates how the closed channel of a Feshbach resonance is characterised by experimental observables. Surprisingly, it is found that the two-body observables associated with the Feshbach resonance can be insensitive to the…

Quantum Gases · Physics 2025-02-05 Pascal Naidon

We present a simple technique for studying collisions of ultracold atoms in the presence of a magnetic field and radio-frequency radiation (rf). Resonant control of scattering properties can be achieved by using rf to couple a colliding…

Quantum Gases · Physics 2010-09-28 Thomas M. Hanna , Eite Tiesinga , Paul S. Julienne

For a mixture of alkali-earth atomic gas in the long-lived excited state ${}^3P_0$ and ground state ${}^1S_0$, in addition to nuclear spin, another "orbital" index is introduced to distinguish these two internal states. In this letter we…

Quantum Gases · Physics 2015-09-30 Ren Zhang , Yanting Cheng , Hui Zhai , Peng Zhang

We present a theoretical model for Bragg scattering from a Bose-Einstein condensate (BEC) in the vicinity of a magnetic Feshbach resonance, using a two c-field formalism, one c-field for the atom and the other for a molecule formed of two…

Atomic and Molecular Clusters · Physics 2011-09-15 Catarina E. Sahlberg , R. J. Ballagh , C. W. Gardiner

Quantum reactive scattering calculations on the vibrational quenching of HD due to collisions with H were carried out employing an accurate potential energy surface. The state-to-state cross sections for the chemical reaction HD ($v=1, \…

Chemical Physics · Physics 2020-06-19 Boyi Zhou , Benhui Yang , N. Balakrishnan , B. K. Kendrick , P. C. Stancil