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We present the theory of a pair of atoms in a one-dimensional optical lattice interacting via a narrow Feshbach resonance. Using a two-channel description of the resonance, we derive analytic results for the scattering states inside the…

Other Condensed Matter · Physics 2008-02-05 N. Nygaard , R. Piil , K. Molmer

In some recent experiments an ultracold gas of $^{40}$K$_2$ (or $^{6}$Li$_2$) molecules has been produced from a degenerate two-component Fermi gas of $^{40}$K (or $^{6}$Li) atoms by adiabatic passage through a Feshbach resonance. The…

Statistical Mechanics · Physics 2007-05-23 Hui Hu , Feng Yuan , Shaojin Qin

We present a new spectroscopy technique for studying cold-collision properties. The technique is based on the association and dissociation of ultracold molecules using a magnetically tunable Feshbach resonance. The energy and lifetime of a…

Statistical Mechanics · Physics 2007-05-23 Thomas Volz , Stephan Dürr , Niels Syassen , Gerhard Rempe , Eric van Kempen , Servaas Kokkelmans

The Formation of metastable molecules (Feshbach resonances) at the collision of two atoms and subsequent stimulated transition to a lower unbound electronic molecular state, with emission of a photon of the laser radiation has been…

Atomic Physics · Physics 2017-04-05 E. Gazazyan , A. Gazazyan

One of the main limitations of cesium atomic fountains has been the cold collision frequency shift. By using a method based on a transfer of population by adiabatic passage allowing to prepare cold atomic samples with a well defined ratio…

Scattering resonances are fundamental in science, spanning energy scales from stellar nuclear fusion to ultracold collisions. In ultracold quantum gases, magnetic Feshbach resonances have transformed quantum many-body research by enabling…

The lowest order constrained variational method [Phys. Rev. Lett. 88, 210403 (2002)] has been generalized for a dilute (in the sense that the range of interatomic potential is small compared with inter-particle spacing) uniform gas of…

Soft Condensed Matter · Physics 2007-05-23 Yeong E. Kim , Alexander L. Zubarev

We calculate the momentum distribution and the second-order correlation function in momentum space, $g^{(2)}({\bf p},{\bf p}',t)$ for molecular dimers that are coherently formed from an ultracold atomic gas by photoassociation or a Feshbach…

Other Condensed Matter · Physics 2009-11-10 D. Meiser , C. P. Search , P. Meystre

We create weakly bound bosonic $^{23}\textrm{Na}^{39}\textrm{K}$ molecules in a mixture of ultracold $^{23}\textrm{Na}$ and $^{39}\textrm{K}$. The creation is done in the vicinity of a so far undetected Feshbach resonance at about…

We have investigated magnetically tunable Feshbach resonances in ultracold collisions of Rb with Yb in its metastable $^3$P$_2$ and $^3$P$_0$ states, using coupled-channel scattering and bound-state calculations. For the $^3$P$_2$ state, we…

Atomic Physics · Physics 2022-02-11 Bijit Mukherjee , Matthew D. Frye , Jeremy M. Hutson

In a combined experimental and theoretical effort, we demonstrate a novel type of dipolar system made of ultracold bosonic dipolar molecules with large magnetic dipole moments. Our dipolar molecules are formed in weakly bound Feshbach…

We have generalized the BOUND and MOLSCAT packages to allow calculations in basis sets where the monomer Hamiltonians are off-diagonal and used the new capability to carry out bound-state and scattering calculations on 3He-NH and 4He-NH as…

Atomic Physics · Physics 2009-03-25 Maykel Leonardo Gonzalez-Martinez , Jeremy M. Hutson

Optical Feshbach resonances [Phys. Rev. Lett. 94, 193001 (2005)] and pump-dump photoassociation with short laser pulses [Phys. Rev. A 73, 033408 (2006)] have been proposed as means to coherently form stable ultracold alkali dimer molecules.…

Atomic Physics · Physics 2009-01-05 Christiane P. Koch

We predict the resonance enhanced magnetic field dependence of atom-dimer relaxation and three-body recombination rates in a $^{87}$Rb Bose-Einstein condensate (BEC) close to 1007 G. Our exact treatments of three-particle scattering…

Other Condensed Matter · Physics 2007-05-23 G. Smirne , R. M. Godun , D. Cassettari , V. Boyer , C. J. Foot , T. Volz , N. Syassen , S. Dürr , G. Rempe , M. D. Lee , K. Goral , T. Koehler

We propose a new type of cooling mechanism for ultra-cold fermionic atom ensembles, which capitalizes on the energy dependence of inelastic collisions in the presence of a Feshbach resonance. We first discuss the case of a single magnetic…

Other Condensed Matter · Physics 2013-05-29 L. Mathey , Eite Tiesinga , Paul S. Julienne , Charles W. Clark

We present two simple designs of matter-wave beam splitters in a trapped Bose-Einstein Condensate (BEC). In our scheme, identical pairs of atomic solitons are produced by an adequate control --- in time and/or space --- of the scattering…

Quantum Gases · Physics 2016-05-10 Humberto Michinel , Ángel Paredes , María M. Valado , David Feijoo

We report on the creation of ultracold heteronuclear molecules assembled from fermionic 40K and bosonic 87Rb atoms in a 3D optical lattice. Molecules are produced at a heteronuclear Feshbach resonance both on the attractive and the…

Statistical Mechanics · Physics 2007-05-23 C. Ospelkaus , S. Ospelkaus , L. Humbert , P. Ernst , K. Sengstock , K. Bongs

Chemical reactions typically proceed via stochastic encounters between reactants. Going beyond this paradigm, we combine exactly two atoms into a single, controlled reaction. The experimental apparatus traps two individual laser-cooled…

Atomic Physics · Physics 2018-04-25 L. R. Liu , J. D. Hood , Y. Yu , J. T. Zhang , N. R. Hutzler , T. Rosenband , K. -K. Ni

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

Ultracold gases in optical lattices are of great interest, because these systems bear a great potential for applications in quantum simulations and quantum information processing, in particular when using particles with a long-range…

Statistical Mechanics · Physics 2007-05-23 T. Volz , N. Syassen , D. M. Bauer , E. Hansis , S. Dürr , G. Rempe