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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 mean-field dynamics of p-wave Feshbach molecule production in an ultra cold gas of Fermi atoms in the same internal state. We derive a separable potential to describe the low-energy scattering properties of such atoms, and use…

Quantum Gases · Physics 2013-03-04 L. Austen , L. Cook , M. D. Lee , J. Mur-Petit

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 provide a practical approach to the molecular production via linear downward sweeps of Feshbach resonances in degenerate Fermi gases containing incoherent mixtures of two atomic spin states. We show that the efficiency of the association…

Other Condensed Matter · Physics 2007-05-23 Jan Chwedenczuk , Krzysztof Goral , Thorsten Koehler , Paul S. Julienne

The relaxation processes in an ultra-cold degenerate atomic Fermi gas near a Feshbach resonance are considered. It is shown that the relaxation rate of the molecules being in a resonance with the atomic Fermi system is of the order of the…

Other Condensed Matter · Physics 2007-05-23 V. S. Babichenko

Fast sweep projection onto Feshbach molecules has been widely used as a probe of fermionic condensates. By determining the exact dynamics of a pair of atoms in time varying magnetic fields, we calculate the number of condensed and…

Other Condensed Matter · Physics 2008-12-08 S. Matyjaskiewicz , M. H. Szymanska , K. Goral

Using a Feshbach resonance, we create ultracold fermionic molecules starting from a Bose-Fermi atom gas mixture. The resulting mixture of atoms and weakly bound molecules provides a rich system for studying few-body collisions because of…

Other Condensed Matter · Physics 2009-09-29 J. J. Zirbel , K. -K. Ni , S. Ospelkaus , J. P. D'Incao , C. E. Wieman , J. Ye , D. S. Jin

Since the realization of Bose-Einstein condensates (BEC) in atomic gases an experimental challenge has been the production of molecular gases in the quantum regime. A promising approach is to create the molecular gas directly from an…

Condensed Matter · Physics 2009-11-10 C. A. Regal , C. Ticknor , J. L. Bohn , D. S. Jin

We report the observation of a broad magnetic Feshbach resonance with a large background scattering length in an ultracold fermionic mixture of $^{23}$Na$^{40}$K molecules and $^{40}$K atoms, with both species prepared in their lowest…

Quantum Gases · Physics 2025-11-25 Zhen Su , Tong-Hui Shou , Huan Yang , Jin Cao , Bo-Yuan Wang , Ting Xie , Jun Rui , Bo Zhao , Jian-Wei Pan

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 investigate magnetoassociation of ultracold fermionic Feshbach molecules in a mixture of $^{40}$K and $^{87}$Rb atoms, where we can create as many as $7\times 10^4$ $^{40}$K$^{87}$Rb molecules with a conversion efficiency as high as 45%.…

Quantum Gases · Physics 2013-09-12 Tyler D. Cumby , Ruth A. Shewmon , Ming-Guang Hu , John D. Perreault , Deborah S. Jin

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

In many experiments involving conversion of quantum degenerate atomic gases into molecular dimers via a Feshbach resonance, an external magnetic field is linearly swept from above the resonance to below resonance. In the adiabatic limit,…

Other Condensed Matter · Physics 2009-11-11 Jaeyoon Jeong , Chris P. Search , Ivana Djuric

Magnetically tunable Feshbach resonances were employed to associate cold diatomic molecules in a series of experiments involving both atomic Bose as well as two spin component Fermi gases. This review illustrates theoretical concepts of…

Other Condensed Matter · Physics 2007-05-23 Thorsten Koehler , Krzysztof Goral , Paul S. Julienne

We model collisionless collective conversion of a degenerate Fermi gas into bosonic molecules via a Feshbach resonance, treating the bosonic molecules as a classical field and seeding the pairing amplitudes with random phases. A dynamical…

We formulate a generalized mean-field theory of a mixture of fermionic and bosonic atoms, in which the fermion-boson interaction can be controlled by a Feshbach resonance. The theory correctly accounts for molecular binding energies of the…

Other Condensed Matter · Physics 2009-11-13 D. C. E. Bortolotti , A. V. Avdeenkov , J. L. Bohn

We introduce the Global Spin Model to study the static and dynamic properties of the ultracold fermionic gas near the broad Feshbach resonance. We show that the problem of molecular production, in a single-mode approximation, is reduced to…

Other Condensed Matter · Physics 2009-02-13 Deqiang Sun , Ar. Abanov , V. L. Pokrovsky

We consider the dissociation of a molecular Bose-Einstein condensate during a magnetic-field sweep through a Feshbach resonance that starts on the molecular side of the resonance and ends on the atomic side. In particular, we determine the…

Other Condensed Matter · Physics 2014-10-13 Masudul Haque , H. T. C. Stoof

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 investigate the production efficiency of ultracold molecules in bosonic $^{85}$Rb and fermionic $^{40}$K when the magnetic field is swept across a Feshbach resonance. For adiabatic sweeps of the magnetic field, the conversion efficiency…

Statistical Mechanics · Physics 2009-11-10 E. Hodby , S. T. Thompson , C. A. Regal , M. Greiner , A. C. Wilson , D. S. Jin , E. A. Cornell , C. E. Wieman
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