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Employing a short-range two-channel description we derive an analytic model of atoms in isotropic and anisotropic harmonic traps at a Feshbach resonance. On this basis we obtain a new parameterization of the energy-dependent scattering…

Quantum Gases · Physics 2011-03-09 Philipp-Immanuel Schneider , Yulian V. Vanne , Alejandro Saenz

We report the efficient production of a large Bose-Einstein condensate in $^{87}$Rb atoms. This is achieved by quickly reducing the radio-frequency of the magnetic field at a rate of -96.8 kHz/s during the final stage of evaporative…

Other Condensed Matter · Physics 2009-11-10 Tetsuya Mukai , Makoto Yamashita

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

We revisit the mean-field treatment of photoassociation and Feshbach resonances in a Bose-Einstein condensate previously used by various authors. Generalizing the Cherny and Shanenko approach (Phys. Rev. E 62, 1646-59 (2000) ) where the…

Other Condensed Matter · Physics 2016-08-31 Pascal Naidon , Francoise Masnou-Seeuws

We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. This is done in the framework of the 2D Gross-Pitaevskii equation and requires a symplectic reduction of the…

Analysis of PDEs · Mathematics 2008-12-01 Amandine Aftalion , Xavier Blanc , Nicolas Lerner

A generalised method of using feedback to control Bose-Einstein condensates is introduced. The condensates are modelled by the Gross-Pitaevskii equation, so only semiclassical fluctations can be suppressed, and back-action from the…

Condensed Matter · Physics 2009-11-10 S. A. Haine , A. J. Ferris , J. D. Close , J. J. Hope

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 statistical mechanics of a system of non-relativistic charged particles in a constant magnetic field is discussed. The spatial dimension $D$ is arbitrary with $D\geq 3$ assumed. Calculations are presented from first principles using the…

Statistical Mechanics · Physics 2007-05-23 Guy B. Standen , David J. Toms

This paper examines the problem of molecule production in an atomic fermionic gas close to an s-wave Feshbach resonance by means of a magnetic field sweep through the resonance. The density of molecules at the end of the process is derived…

Other Condensed Matter · Physics 2009-12-16 V. Gurarie

Robust stimulated Raman exact passages are requisite for controlling nonlinear quantum systems, with the wide applications ranging from ultracold molecules, non-linear optics to superchemistry. Inspired by shortcuts to adiabaticity, we…

Quantum Gases · Physics 2021-02-16 JingJun Zhu , Xi Chen

The strong-coupling limit of molecule formation in an atomic Bose-Einstein condensate via two-mode one-color photoassociation or sweep across a Feshbach resonance is examined using a basic nonlinear time-dependent two-state model. For the…

Quantum Gases · Physics 2015-05-14 Artur Ishkhanyan , Hiroki Nakamura

The atom fluctuations statistics of an ideal, mesoscopic, Bose-Einstein condensate is investigated from several different perspectives. By generalizing the grand canonical analysis (applied to the canonical ensemble problem), we obtain a…

Other Condensed Matter · Physics 2007-05-23 Andrew N. Jordan , C. H. Raymond Ooi , Anatoly A. Svidzinsky

We discuss the recently achieved Bose-Einstein condensation for alkali-metal atoms in magnetic traps. The theoretically predicted low-energy collective oscillations of the condensate have been experimentally confirmed by laser imaging…

chao-dyn · Physics 2009-10-31 Luca Salasnich

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

Two distinct strongly non-linear scenarios of molecule formation in an atomic Bose-Einstein condensate (either by photoassociation or Feshbach resonance) corresponding to large and small field detuning are revealed. By examining arbitrary…

Quantum Gases · Physics 2015-05-14 A. M. Ishkhanyan , B. Joulakian , K. -A. Suominen

We investigate the dynamics of converting cold bosonic atoms to molecules when an external magnetic field is swept across a Feshbach resonance. Our analysis relies on a zero temperature quantum microscopic model that accounts for many-body…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jie Liu , Bin Liu , Libin Fu

We investigate the single-particle properties at T=0 of a trapped superfluid gas of Fermi atoms with a Feshbach resonance. A tunable pairing interaction associated with the Feshbach resonance leads to the BCS-BEC crossover, where the…

Other Condensed Matter · Physics 2009-11-10 Y. Ohashi , A. Griffin

The ultracold mixture of \Na and \Rb atoms has become an important system for investigating physics in Bose-Bose atomic mixtures and for forming ultracold ground-state polar molecules. In this work, we provide an improved characterization…

Quantum Gases · Physics 2022-02-23 Zhichao Guo , Fan Jia , Bing Zhu , Lintao Li , Jeremy M. Hutson , Dajun Wang

Inelastic collision rates for ultracold $^{85}$Rb atoms in the F=2 m$_{f}$=-2 state have been measured as a function of magnetic field. Dramatic change in the vicinity of a Feshbach resonance at 155 G was observed. Similar to the elastic…

Atomic Physics · Physics 2009-11-06 J. L. Roberts , N. R. Claussen , S. L. Cornish , C. E. Wieman

We present an investigation of the fast decompression of a three-dimensional (3D) Bose-Einstein condensate (BEC) at finite temperature using an engineered trajectory for the harmonic trapping potential. Taking advantage of the scaling…