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This review describes recent experimental and theoretical advances in forming molecules in ultracold gases of trapped alkali metal atoms, both by magnetic tuning through Feshbach resonances and by photoassociation. Molecular Bose-Einstein…

Chemical Physics · Physics 2007-05-23 Jeremy M. Hutson , Pavel Soldan

We discuss the dynamics of a Bose-Einstein condensate of atoms which is suddenly coupled to a condensate of molecules by an optical or magnetic Feshbach resonance. Three limiting regimes are found and can be understood from the transient…

Other Condensed Matter · Physics 2008-03-06 Pascal Naidon , Eite Tiesinga , Paul S. Julienne

We explore the zero-temperature statics of an atomic Bose-Einstein condensate in which a Feshbach resonance creates a coupling to a second condensate component of quasi-bound molecules. Using a variational procedure to find the equation of…

Other Condensed Matter · Physics 2009-11-10 George E. Cragg , Arthur K. Kerman

The conversion of ultracold atoms to molecules via a magnetic Feshbach resonance with a sinusoidal modulation of the field is studied. Different practical realizations of this method in Bose atomic gases are analyzed. Our model incorporates…

Quantum Gases · Physics 2015-06-24 S. Brouard , J. Plata

We consider a mixture of two-species atomic Bose-Einstein codensates coupled to a bound molecular state at zero temperature via interspecies Feshbach resonance. The interspecies Feshbach coupling precludes the possibility of doubly mixed…

Mesoscale and Nanoscale Physics · Physics 2008-11-07 Lu Zhou , Jing Qian , Han Pu , Weiping Zhang , Hong Y. Ling

We test a non equilibrium approach to study the behavior of a Bose-Fermi mixture of alkali atoms in the presence of a Feshbach resonance between bosons and fermions. To this end we derive the Hartree-Fock-Bogoliubov (HFB) equations of…

Statistical Mechanics · Physics 2016-08-31 Daniele C. E. Bortolotti , Alexandr V. Avdeenkov , Christopher Ticknor , John L. Bohn

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

We propose to create ultracold ground state molecules in an atomic Bose-Einstein condensate by adiabatic crossing of an optical Feshbach resonance. We envision a scheme where the laser intensity and possibly also frequency are linearly…

Quantum Physics · Physics 2007-05-23 Christiane P. Koch Françoise Masnou-Seeuws Ronnie Kosloff

We demonstrate coherent one-color photoassociation of a Bose-Einstein condensate, which results in Rabi oscillations between atomic and molecular condensates. We attain atom-molecule Rabi frequencies that are comparable to decoherence rates…

Atomic Physics · Physics 2013-10-11 Mi Yan , B. J. DeSalvo , Ying Huang , P. Naidon , T. C. Killian

Ultracold molecules offer a broad variety of applications, ranging from metrology to quantum computing. However, forming "real" ultracold molecules, {\it i.e.} in deeply bound levels, is a very difficult proposition. Here, we show how…

Atomic Physics · Physics 2009-11-13 Philippe Pellegrini , Marko Gacesa , Robin Côté

Ultracold molecules are associated from an atomic Bose-Einstein condensate by ramping a magnetic field across a Feshbach resonance. The reverse ramp dissociates the molecules. The kinetic energy released in the dissociation process is used…

Statistical Mechanics · Physics 2007-05-23 Stephan Dürr , Thomas Volz , Gerhard Rempe

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

In an atomic gas near a Feshbach resonance, the energy of two colliding atoms is close to the energy of a bound state, i.e., a molecular state, in a closed channel that is coupled to the incoming open channel. Due to the different spin…

Statistical Mechanics · Physics 2009-11-10 R. A. Duine , H. T. C. Stoof

By pumping energy into a trapped Bose-Einstein condensate it is possible to generate nonlinear coherent modes representing non-ground-state condensates. A Bose-condensed system of trapped atoms with nonlinear coherent modes is analogous to…

Quantum Gases · Physics 2024-12-03 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

We present a nonequilibrium kinetic theory describing atom-molecule population dynamics in a two-component Fermi gas with a Feshbach resonance. Key collision integrals emerge that govern the relaxation of the atom-molecule mixture to…

Other Condensed Matter · Physics 2009-11-10 J. E. Williams , T. Nikuni , N. Nygaard , C. W. Clark

We theoretically examine the creation of a Fermi-degenerate gas of molecules via a photoassociation or Feshbach resonance applied to a degenerate Bose-Fermi mixture of atoms. This problem raises an interest because, unlike bosons, fermions…

Atomic Physics · Physics 2016-09-08 Olavi Dannenberg , Matt Mackie , Kalle-Antti Suominen

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…

We observe large-amplitude Rabi oscillations between an atomic and a molecular state near a Feshbach resonance. The experiment uses 87Rb in an optical lattice and a Feshbach resonance near 414 G. The frequency and amplitude of the…

Statistical Mechanics · Physics 2007-07-19 N. Syassen , D. M. Bauer , M. Lettner , D. Dietze , T. Volz , S. Dürr , G. Rempe

With the creation of ultracold atoms and molecules, a new type of chemistry - "resonance" chemistry - emerges: chemical reactions can occur when the energy of colliding atoms and molecules matches a bound state of the combined molecule…

Other Condensed Matter · Physics 2009-11-11 V. V. Flambaum , J. S. M. Ginges

We create an ultracold dense quantum gas of ground state molecules bound by more than 1000 wavenumbers by stimulated two-photon transfer of molecules associated on a Feshbach resonance from a Bose-Einstein condensate of cesium atoms. The…