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We develop a theoretical model to describe the radio-frequency (rf) induced coupling of a pair of colliding atoms to a Feshbach molecule when a magnetic field arbitrarily far from the Feshbach resonance is modulated in time. We use the…

Atomic Physics · Physics 2008-12-24 Q. Beaufils , A. Crubellier , T. Zanon , B. Laburthe-Tolra , E. Marechal , L. Vernac , O. Gorceix

We study collisions in an optically trapped, pure sample of ultracold Cs$_2$ molecules in various internal states. The molecular gas is created by Feshbach association from a near-degenerate atomic gas, with adjustable temperatures in the…

Quantum Gases · Physics 2015-05-13 F. Ferlaino , S. Knoop , M. Berninger , M. Mark , H. -C. Naegerl , R. Grimm

We selectively create p-wave Feshbach molecules in the $m_{l}=\pm 1$ orbital angular momentum projection state of $^{6}$Li. We use an optical lattice potential to restrict the relative momentum of the atoms such that only the $m_{l}=\pm 1$…

Quantum Gases · Physics 2016-09-30 Muhammad Waseem , Zhiqi Zhang , Jun Yoshida , Keita Hattori , Taketo Saito , Takashi Mukaiyama

We solve a model that describes a stimulated conversion between ultracold bosonic atoms and molecules. The reaction is triggered by a linearly time-dependent transition throughout the Feshbach resonance. Our solution predicts a…

Quantum Physics · Physics 2022-07-20 Rajesh K. Malla , Vladimir Y. Chernyak , Chen Sun , Nikolai A. Sinitsyn

Magnetic Feshbach resonances have allowed great success in the production of ultracold diatomic molecules from bi-alkali mixtures, but have so far eluded observation in mixtures of alkali and alkaline-earth-like atoms. Inelastic collisional…

Recently, effects of Feshbach resonances in atom-atom interactions were observed by varying the external magnetic field of an atomic Bose-Einstein condensate (BEC). We point out that the quasi-bound molecules created in the intermediate…

Condensed Matter · Physics 2019-08-17 Eddy Timmermans , Paolo Tommasini , Robin Cote , Mahir Hussein , Arthur Kerman

We determine the physical properties of \emph{p}-wave Feshbach molecules in doubly spin-polarized $^{40}$K and find excellent agreement with recent experiments. We show that these molecules have a large probability $Z$ to be in the closed…

Superconductivity · Physics 2014-11-18 K. B. Gubbels , H. T. C. Stoof

We explore the feasibility of producing ultracold diatomic molecules with nonzero electric and magnetic dipole moments by magnetically associating two atoms, one with zero electron spin and one with nonzero spin. Feshbach resonances arise…

Atomic Physics · Physics 2013-05-28 Daniel A. Brue , Jeremy M. Hutson

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

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 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

Nonlocal entanglement between pair-correlated particles is a highly counter-intuitive aspect of quantum mechanics, where measurement on one particle can instantly affect the other, regardless of distance. While the rigorous Bell's…

Coherent coupling between atoms and molecules in a Bose-Einstein condensate (BEC) has been observed. Oscillations between atomic and molecular states were excited by sudden changes in the magnetic field near a Feshbach resonance and…

Statistical Mechanics · Physics 2009-11-07 Elizabeth A. Donley , Neil R. Claussen , Sarah T. Thompson , Carl E. Wieman

Cold inelastic collisions of atoms or molecules are analyzed using very general arguments. In free space, the deactivation rate can be enhanced or suppressed together with the scattering length of the corresponding elastic collision via a…

Atomic Physics · Physics 2007-05-23 V. A. Yurovsky , Y. B. Band

We have investigated Feshbach resonances in collisions of high-spin atoms such as Er and Dy with closed-shell atoms such as Sr and Yb, using coupled-channel scattering and bound-state calculations. We consider both low-anisotropy and…

Atomic Physics · Physics 2020-10-14 Matthew D. Frye , Simon L. Cornish , Jeremy M. Hutson

Molecules are many body systems with a substantial amount of entanglement between their electrons. Is there a way to break the molecular bond of a diatomic molecule and obtain two atoms in their ground state which are still entangled and…

Atomic Physics · Physics 2023-09-15 S. Eckart , D. Trabert , J. Rist , A. Geyer , L. Ph. H. Schmidt , K. Fehre , M. Kunitski

At the location of a magnetic-field Feshbach resonance, a mixture gas of fermionic atoms and dimers of fermionic atom pairs is investigated in the unitarity limit where the absolute value of the scattering length is much larger than the…

Soft Condensed Matter · Physics 2007-05-23 Hongwei Xiong , Shujuan Liu , Mingsheng Zhan

In the vicinity of a Feshbach resonance, a system of ultracold atoms on an optical lattice undergoes rich physical transformations which involve molecule formation and hopping of molecules on the lattice and thus goes beyond a single-band…

Quantum Gases · Physics 2015-11-20 A. Dirks , K. Mikelsons , H. R. Krishnamurthy , J. K. Freericks

Magnetically tunable Feshbach resonances for polar paramagnetic ground-state diatomics are too narrow to allow for magnetoassociation starting from trapped, ultracold atoms. We show that non-resonant light can be used to engineer the…

Atomic Physics · Physics 2014-03-24 Michał Tomza , Rosario González-Férez , Christiane P. Koch , Robert Moszynski

We have observed condensation of fermionic atom pairs in the BCS-BEC crossover regime. A trapped gas of fermionic 40K atoms is evaporatively cooled to quantum degeneracy and then a magnetic-field Feshbach resonance is used to control the…

Statistical Mechanics · Physics 2009-11-10 C. A. Regal , M. Greiner , D. S. Jin