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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 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 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

In this paper, we investigate the atom-molecule conversion dynamics of a generalized many-body model that includes the atom-atom, atom-molecule, and molecule-molecule interactions, emphasizing the efficiency of the Feshbach molecular…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Jing Li , Di-Fa Ye , Chao Ma , Li-Bin Fu , Jie Liu

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

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 explain why the experimental efficiency observed in the conversion of ultracold Fermi gases of $^{40}$K and $^{6}$Li atoms into diatomic Bose gases is limited to 0.5 when the Feshbach resonance sweep rate is sufficiently slow to pass…

Statistical Mechanics · Physics 2009-11-10 E. Pazy , A. Vardi , Y. B. Band

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 theoretically examine a zero-temperature system of Fermi degenerate atoms coupled to bosonic molecules via collisionless rapid adiabatic passage across a Feshbach resonance, focusing on saturation of the molecular conversion efficiency…

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

We consider in detail the situation of applying a time dependent external magnetic field to a 87Rb atomic Bose-Einstein condensate held in a harmonic trap, in order to adiabatically sweep the interatomic interactions across a Feshbach…

Condensed Matter · Physics 2007-05-23 Krzysztof Goral , Thorsten Koehler , Simon A. Gardiner , Eite Tiesinga , Paul S. Julienne

We theoretically study the dynamics of an adiabatic sweep through a Feshbach resonance, thereby converting a degenerate quantum gas of fermionic atoms into a degenerate quantum gas of bosonic dimers. Our analysis relies on a zero…

Other Condensed Matter · Physics 2009-11-11 I. Tikhonenkov , E. Pazy , Y. B. Band , M. Fleischhauer , A. Vardi

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

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

We study the dynamics of an adiabatic sweep through a Feshbach resonance in a quantum gas of fermionic atoms. Analysis of the dynamical equations, supported by mean-field and many-body numerical results, shows that the dependence of the…

Other Condensed Matter · Physics 2009-11-11 E. Pazy , I Tikhonenkov , Y. B. Band , M. Fleischhauer , A. Vardi

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

The association process of Feshbach molecules is well described by a Landau-Zener (LZ) transition above the Fermi temperature, such that two-body physics dominates the dynamics. However, using $^6$Li atoms and the associated Feshbach…

Atomic Physics · Physics 2022-11-22 Vineetha Naniyil , Yijia Zhou , Guy Simmonds , Nathan Cooper , Weibin Li , Lucia Hackermüller

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

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

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

We study the dissociation of Feshbach molecules by a magnetic field sweep across a zero-energy resonance. In the limit of an instantaneous magnetic field change, the distribution of atomic kinetic energy can have a peak indicating dominance…

Other Condensed Matter · Physics 2007-05-23 Thomas M. Hanna , Krzysztof Goral , Emilia Witkowska , Thorsten Koehler
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