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The dynamics of matter waves in the atomic to molecular condensate transition with a time-modulated atomic scattering length is investigated. Both the cases of rapid and slow modulations are studied. In the case of rapid modulations, the…

Quantum Gases · Physics 2021-08-27 F Kh Abdullaev , M Ogren , J S Yuldashev

We determine the adiabatic phase diagram of a resonantly-coupled system of Fermi atoms and Bose molecules confined in the harmonic trap by using the local density approximation. The adiabatic phase diagram shows the fermionic condensate…

Other Condensed Matter · Physics 2009-11-11 S. Watabe , T. Nikuni , N. Nygaard , J. E. Williams , C. W. Clark

A zero-range approach to atom-molecule coupling is developed in analogy to the Fermi-Huang pseudo-potential treatment of atom-atom interactions. It is shown by explicit comparison to an exactly-solvable finite-range model that replacing the…

Other Condensed Matter · Physics 2009-11-11 M. G. Moore

We explore the zero-temperature statics of an atomic Bose-Einstein condensate in which a Feshbach resonance creates a coupling to a second condensate component of quasi-bound molecules. Using a variational procedure to find the equation of…

Other Condensed Matter · Physics 2009-11-10 George E. Cragg , Arthur K. Kerman

We calculate and measure the density distribution and cloud size of a trapped two-dimensional $^{6}$Li Fermi gas near a Feshbach resonance at low temperatures. Density distributions and cloud sizes are calculated for a wide range of…

Quantum Gases · Physics 2011-12-14 Alexey A. Orel , Paul Dyke , Marion Delehaye , Chris J. Vale , Hui Hu

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

We study inelastic processes for ultracold three-body systems in which only one interaction is resonant. We have found that the decay rates for weakly bound molecules due to collisions with other atoms can be suppressed not only without…

Atomic Physics · Physics 2009-11-13 J. P. D'Incao , B. D. Esry

Tunability of effective two body interactions near Feshbach resonances is a powerful experimental tool in systems of ultracold atoms. It has been used to explore a variety of intriguing phenomena in recent experiments. However not all of…

Quantum Gases · Physics 2011-07-21 David Pekker , Eugene Demler

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 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 study a rotating atomic Fermi gas near a narrow s-wave Feshbach resonance in a uniaxial harmonic trap with frequencies $\Omega_\perp$, $\Omega_z$. Our primary prediction is the upper-critical angular velocity, $\omega_{c2} (\delta,T)$,…

Superconductivity · Physics 2007-05-23 Martin Y. Veillette , Daniel E. Sheehy , Leo Radzihovsky , Victor Gurarie

We have performed radio-frequency dissociation spectroscopy of weakly bound ^6Li_2 Feshbach molecules using low-density samples of about 30 molecules in an optical dipole trap. Combined with a high magnetic field stability this allows us to…

Quantum Gases · Physics 2013-07-16 G. Zürn , T. Lompe , A. N. Wenz , S. Jochim , P. S. Julienne , J. M. Hutson

We develop a new formalism for the description of the condensates of cold Fermi atoms whose speed of sound can be tuned with the aid of a narrow Feshbach resonance. We use this to look for spontaneous phonon creation that mimics spontaneous…

General Relativity and Quantum Cosmology · Physics 2013-09-18 Jen-Tsung Hsiang , Chi-Yong Lin , Da-Shin Lee , Ray J. Rivers

We study the spontaneous dissociation of diatomic molecules produced in cold atomic gases via magnetically tunable Feshbach resonances. We provide a universal formula for the lifetime of these molecules that relates their decay to the…

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

We survey results on the creation of heteronuclear Fermi molecules by tuning a degenerate Bose-Fermi mixture into the neighborhood of an association resonance, either photoassociation or Feshbach, as well as the subsequent prospects for…

Atomic Physics · Physics 2016-09-08 Matt Mackie , Olavi Dannenberg , Jyrki Piilo , Kalle-Antti Suominen , Juha Javanainen

Optical Feshbach resonances [Phys. Rev. Lett. 94, 193001 (2005)] and pump-dump photoassociation with short laser pulses [Phys. Rev. A 73, 033408 (2006)] have been proposed as means to coherently form stable ultracold alkali dimer molecules.…

Atomic Physics · Physics 2009-01-05 Christiane P. Koch

Bound states and collisions of atoms with two-channel two-body interactions in harmonic waveguides are analyzed. The closed-channel contributions to two-atom bound states become dominant in the case of a weak resonance. At low energies and…

Atomic Physics · Physics 2007-05-23 V. A. Yurovsky

Collisional resonances are an important tool which has been used to modify interactions in ultracold gases, for realizing novel Hamiltonians in quantum simulations, for creating molecules from atomic gases and for controlling chemical…

Quantum Gases · Physics 2023-02-06 Juliana J. Park , Yu-Kun Lu , Alan O. Jamison , Timur Tscherbul , Wolfgang Ketterle

We study theoretically the phase diagram of strongly coupled two-dimensional Bose-Fermi mixtures interacting with attractive short-range potentials as a function of the particle densities. We focus on the limit where the size of the bound…

Quantum Gases · Physics 2023-05-31 Jonas von Milczewski , Félix Rose , Richard Schmidt

Repulsive interactions between particles on a lattice may lead to bound states, so called doublons. Such states may be created by dynamically tuning the interaction strength, e.g. using a Feshbach resonance, from attraction to repulsion. We…

Quantum Gases · Physics 2012-05-11 Michael Schecter , Alex Kamenev