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Starting with coupled atom-molecule Boltzmann equations, we develop a simplified model to understand molecule formation observed in recent experiments. Our theory predicts several key features: (1) the effective adiabatic rate constant is…

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

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

The atom-to-molecule conversion by the technique of optical Feshbach resonance in a magnetic lattice is studied in the mean-field approximation. For the case of shallow lattice, we give the dependence of the atom-to-molecule conversion…

Atomic Physics · Physics 2018-02-14 Ning-Ju Hui , Li-Hua Lu , Li-Bin Fu , You-Quan Li

Magnetic Feshbach resonances are an invaluable tool for controlling ultracold atoms and molecules. They can be used to tune atomic interactions and have been used extensively to explore few- and many-body phenomena. They can also be used…

As it was proposed and recently verified experimentally, the mechanism of Feshbach resonance in a condensate can create a second condensate component of molecules that coexists with the atomic condensate. In this work we investigate…

A Feshbach resonance arises in cold atom scattering due to the complex interplay between several coupled channels. However, the essential physics of the resonance may be encapsulated in a simplified model consisting of just two coupled…

Other Condensed Matter · Physics 2009-11-11 Nicolai Nygaard , Barry I. Schneider , Paul S. Julienne

In recent experiments on Na Bose-Einstein condensates [S. Inouye et al, Nature 392, 151 (1998); J. Stenger et al, Phys. Rev. Lett. 82, 2422 (1999)], large loss rates were observed when a time-varying magnetic field was used to tune a…

Condensed Matter · Physics 2009-10-31 V. A. Yurovsky , A. Ben-Reuven , P. S. Julienne , C. J. Williams

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

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…

We derive the atom-molecule theory for an atomic gas near a broad Feshbach resonance, where the energy dependence of the atom-molecule coupling becomes crucial for understanding experimental results. We show how our many-body theory…

Statistical Mechanics · Physics 2014-10-13 G. M. Falco , H. T. C. Stoof

We investigate phase separation of Bose-Einstein condensates (BECs) of two-component atoms and one-component molecules with a homonuclear Feshbach resonance. We develop a full model for dilute atomic and molecular gases including…

Quantum Gases · Physics 2015-03-19 Ryosuke Shibato , Takushi Nishimura , Takayuki Watanabe , Toru Suzuki

We observe magnetically tuned collision resonances for ultracold Cs2 molecules stored in a CO2-laser trap. By magnetically levitating the molecules against gravity, we precisely measure their magnetic moment. We find an avoided level…

Other Condensed Matter · Physics 2009-02-20 C. Chin , T. Kraemer , M. Mark , J. Herbig , P. Waldburger , H. -C. Naegerl , R. Grimm

We study the steady state of a zero-temperature Bose gas near a Feshbach or photoassociation resonance using a two-channel mean-field model that incorporates atomic and molecular condensates, as well as correlated atom pairs originating…

Other Condensed Matter · Physics 2009-11-13 Andrew Carmichael , Juha Javanainen

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 problem of molecular production from degenerate gas of fermions at a wide Feshbach resonance, in a single-mode approximation, is reduced to the linear Landau-Zener problem for operators. The strong interaction leads to significant…

Other Condensed Matter · Physics 2009-11-13 Deqiang Sun , Ar. Abanov , V. L. Pokrovsky

We study the conversion efficiency of heteronuclear Feshbach molecules in population imbalanced atomic gases formed by ramping the magnetic field adiabatically. We extend the recent work [J. E. Williams et al., New J. Phys., 8, 150 (2006)]…

Other Condensed Matter · Physics 2009-09-12 Shohei Watabe , Tetsuro Nikuni

We study enhanced magneto-association of atoms into weakly-bound molecules near a Feshbach resonance using a quench preparatory stage. In anticipation of experiments with NASA's Cold Atom Laboratory aboard the International Space Station,…

Quantum Gases · Physics 2021-09-15 Kirk Waiblinger , Jason R. Williams , Jose P. D'Incao

The dynamical atom/molecule projection, recently used to probe fermion pairing, is fast compared to collective fermion times, but slow on the Feshbach resonance width scale. Theory of detuning-induced dynamics of molecules coupled to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. A. Barankov , L. S. Levitov

Overlapping Feshbach resonances are commonly observed in experiments with ultracold atoms and can influence the molecule production process. We derive an effective approach to describe magnetoassociation in an external trap in the presence…

Atomic Physics · Physics 2016-10-12 Krzysztof Jachymski

Understanding and controlling interactions of ultracold molecules is a cornerstone of quantum chemistry. While the laboratory creation of degenerate molecular gases comprised of bosonic atoms has unlocked powerful new platforms for quantum…

Quantum Gases · Physics 2025-12-30 Zhiqiang Wang , Ke Wang , Zhendong Zhang , Qijin Chen , Cheng Chin , K. Levin