A Two-Atom Picture of Coherent Atom-Molecule Quantum Beats
arXiv:cond-mat/0304341 · doi:10.1088/1367-2630/5/1/111
Abstract
A simple two-atom model is shown to describe a Bose-Einstein condensate of alkali atoms subjected to external magnetic field ramps near a Feshbach resonance. The implications uncovered for two atoms in a trap can be applied at least approximately to a many-atom condensate. A connection to observations is accomplished by scaling the trap frequency to achieve a density comparable to that of the experiments, which yields the fraction of atom pairs in the gas that become molecules. A sudden approximation is used to model the external magnetic field ramps in the vicinity of a two-body Feshbach resonance. The results of this model are compared with recent experimental observations of Donley et al. [1].
16 pages, 5 figures; Submitted to the New. J. Phys. Focus Issue on Quantum Gases; Revision: changed the formula for the scaled frequency and the numerical results in Sec. 5, Replaced figures 2-5
References in corpus (9)
- Stable 85Rb Bose-Einstein Condensates with Widely Tunable Interactions
- Atom--Molecule Coherence in a Bose-Einstein Condensate
- Superchemistry: dynamics of coupled atomic and molecular Bose-Einstein condensates
- Self-consistent model of ultracold atomic collisions and Feshbach resonances in tight harmonic traps
- Ramsey fringes in a Bose-Einstein condensate between atoms and molecules
- Microscopic Dynamics in a Strongly Interacting Bose-Einstein Condensate
- Microscopic theory of atom-molecule oscillations in a Bose-Einstein condensate
- Mean-Field Theory of Feshbach-Resonant Interactions in 85Rb Condensates
- Comment on ``Ramsey Fringes in a Bose-Einstein Condensate between Atoms and Molecules''
Cited by in corpus (37)
- Production of cold molecules via magnetically tunable Feshbach resonances
- Universal few-body physics and cluster formation
- Few-body physics with ultracold atomic and molecular systems in traps
- Adiabatic association of ultracold molecules via magnetic field tunable interactions
- Quenching to unitarity: Quantum dynamics in a 3D Bose gas
- Spectrum and Dynamics of the BCS-BEC crossover from a few-body perspective
- Non-divergent pseudo-potential treatment of spin-polarized fermions under 1D and 3D harmonic confinement
- Breakdown of universality for unequal-mass Fermi gases with infinite scattering length
- Bound-state signatures in quenched Bose-Einstein condensates
- The Hyperspherical Four-Fermion Problem
- Efimov Physics in Quenched Unitary Bose Gases
- One particle in a box: the simplest model for a Fermigas in the unitary limit
- Making Cold Molecules by Time-dependent Feshbach Resonances
- Quantum dynamics of two trapped bosons following infinite interaction quenches
- Few-body resonances of unequal-mass systems with infinite interspecies two-body s-wave scattering length
- Coherent Atom-Molecule Oscillations in a Bose-Fermi Mixture
- Ballistic quench-induced correlation waves in ultracold gases
- Harmonically trapped two-atom systems: Interplay of short-range s-wave interaction and spin-orbit coupling
- Electro-association of ultracold dipolar molecules into tetramer field-linked states
- Renormalized mean-field theory for a two-component Fermi gas with s-wave interactions
- Spin structure of harmonically trapped one-dimensional atoms with spin-orbit coupling
- Enhanced association and dissociation of heteronuclear Feshbach molecules in a microgravity environment
- Energy spectrum of a harmonically trapped two-atom system with spin-orbit coupling
- Ramsey interferometry with atoms and molecules: two-body versus many-body phenomena
- Molecule Formation in Optical Lattice Wells by Resonantly Modulated Magnetic Fields
- Controlled excitation and resonant acceleration of ultracold few-boson systems by driven interactions in a harmonic trap
- Molecular Feshbach dissociation as a source for motionally entangled atoms
- Two- and three-body problem with Floquet-driven zero-range interactions
- Feshbach Resonance Cooling of Trapped Atom Pairs
- Interferometry of Efimov states in thermal gases by modulated magnetic fields
- Dynamics of small trapped one-dimensional Fermi gas under oscillating magnetic fields
- Few-body ultracold reactions in a Bose-Fermi mixture
- Calculating energy shifts in terms of phase shifts
- Stochastic and equilibrium pictures of the ultracold FFR molecular conversion rate
- Quenched Magneto-association of Ultracold Feshbach Molecules
- Repeated output coupling of ultracold Feshbach molecules from a Cs BEC
- Density effects on the interferometry of Efimov states by modulating magnetic fields