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We present a consistent nonequilibrium theory for the production of molecular dimers from a two-component quantum-degenerate fermion atomic gas, via a linear downward sweep of the magnetic field across a Feshbach resonance. This problem…

Statistical Mechanics · Physics 2007-05-23 B. E. Dobrescu , V. L. Pokrovsky

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

A low energy effective theory based on a microscopic multi-channel description of the atom-atom interaction is derived for the scattering of alkali atoms in different hyperfine states. This theory describes all scattering properties,…

Other Condensed Matter · Physics 2007-05-23 G. M. Bruun , A. D. Jackson , E. E. Kolomeitsev

The physics of Feshbach resonance is analyzed using an analytic expression for the $s$-wave scattering phase-shift and the scattering length $a$ which we derive within a two-channel tight-binding model. Employing a unified treatment of…

Quantum Gases · Physics 2015-06-16 Y. Avishai , Y. B. Band , M. Trippenbach

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 present a proposal for controlling the conversion of ultracold atoms into molecules by fixing the phase difference between two oscillating magnetic fields. The scheme is based on the use of a magnetic Feshbach resonance with a field…

Quantum Gases · Physics 2015-11-05 J. Plata

We discuss the dynamics of a Bose-Einstein condensate of atoms which is suddenly coupled to a condensate of molecules by an optical or magnetic Feshbach resonance. Three limiting regimes are found and can be understood from the transient…

Other Condensed Matter · Physics 2008-03-06 Pascal Naidon , Eite Tiesinga , Paul S. Julienne

In an atomic gas near a Feshbach resonance, the energy of two colliding atoms is close to the energy of a bound state, i.e., a molecular state, in a closed channel that is coupled to the incoming open channel. Due to the different spin…

Statistical Mechanics · Physics 2009-11-10 R. A. Duine , H. T. C. Stoof

We model combined photoassociation and Feshbach resonances in a Bose-Einstein condensate, where the shared dissociation continuum allows for quantum interference in losses from the condensate, as well as a dispersive-like shift of…

Quantum Gases · Physics 2015-05-14 Matt Mackie , Catherine DeBrosse

The formation time of a condensate of fermionic atom pairs close to a Feshbach resonance was studied. This was done using a phase-shift method in which the delayed response of the many-body system to a modulation of the interaction strength…

Statistical Mechanics · Physics 2009-11-10 M. W. Zwierlein , C. H. Schunck , C. A. Stan , S. M. F. Raupach , W. Ketterle

We have studied interspecies scattering in an ultracold mixture of $^{87}$Rb and $^{133}$Cs atoms, both in their lowest-energy spin states. The three-body loss signatures of 30 incoming s- and p-wave magnetic Feshbach resonances over the…

A theory is proposed that describes mutual conversion of two electromagnetic modes in cold low-density plasma, specifically, in the high-frequency limit where the ion response is negligible. In contrast to the classic (Landau--Zener-type)…

Plasma Physics · Physics 2018-01-17 I. Y. Dodin , D. E. Ruiz , S. Kubo

With the creation of ultracold atoms and molecules, a new type of chemistry - "resonance" chemistry - emerges: chemical reactions can occur when the energy of colliding atoms and molecules matches a bound state of the combined molecule…

Other Condensed Matter · Physics 2009-11-11 V. V. Flambaum , J. S. M. Ginges

The spectrum of two bosons and two fermions in a trap is calculated using a correlated-Gaussian basis throughout the range of a broad Fano-Feshbach resonance. The calculations provide a few-body solution to the magneto-association of…

Atomic Physics · Physics 2013-07-31 Chen Zhang , Javier von Stecher , Chris H. Greene

We study the process of associating molecules from atomic gases using a magnetic field modulation that is resonant with the molecular binding energy. We show that maximal conversion is obtained by optimising the amplitude and frequency of…

Other Condensed Matter · Physics 2007-05-23 Thomas M. Hanna , Thorsten Koehler , Keith Burnett

We describe the formation of fermionic NaLi Feshbach molecules from an ultracold mixture of bosonic 23Na and fermionic 6Li. Precise magnetic field sweeps across a narrow Feshbach resonance at 745 G result in a molecule conversion fraction…

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 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

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

Interaction between collective monopole oscillations of a trapped Bose-Einstein condensate and thermal excitations is investigated by means of perturbation theory. We assume spherical symmetry to calculate the matrix elements by solving the…

Condensed Matter · Physics 2009-10-31 M. Guilleumas , L. P. Pitaevskii
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