117 research outputs found
Formation of molecules from a Cs Bose-Einstein condensate
Conversion of an expanding Bose-Einstein condensate of Cs atoms to a
molecular one with an efficiency of more than 30% was observed recently in
experiments by M. Mark et al., Europhys. Lett. 69, 706 (2005). The theory
presented here describes the experimental results. Values of resonance strength
of 8 mG and rate coefficients for atom-molecule deactivation of cms and molecule-molecule one of
cms are estimated by a fit of the theoretical results to the
experimental data. Near the resonance, where the highest conversion efficiency
was observed, the results demonstrate strong sensitivity to the magnetic field
ripple and inhomogeneity. A conversion efficiency of about 60% is predicted by
non-mean-field calculations for the densities and sweep rates lower than the
ones used in the experiments.Comment: 9 pages, 10 figure
Properties of quasi-one-dimensional molecules with Feshbach resonance interaction
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 values of the non-resonant scattering length the problem can be
approximated by a one-dimensional resonant model. Three-body problem becomes
nonintegrable and the properties of triatomic molecules become different from
those predicted by the integrable Lieb-Liniger-McGuire model.Comment: 7 pages, 5 figure
Feshbach resonance scattering under cylindrical harmonic confinement
A problem of collisions of atoms with two-channel zero-range interaction in
an atomic waveguide is solved by using of a renormalization procedure. A
matching of the solution to a solution of the related one-dimensional problem
leads to relation between the one-dimensional and three-dimensional scattering
parameters. The scattering amplitude and bound states for the confined system
demonstrate differences from the related free and one-dimensional systems.Comment: Completely rewritten version,8 pages with 5 figures, uses REVTe
Formation of molecules in an expanding Bose-Einstein condensate
A mean field theory of expanding hybrid atom-molecule Bose-Einstein
condensates is applied to the recent MPI experiments on Rb that
demonstrated the formation of ultracold molecules due to Feshbach resonance.
The subsequent dissociation of the molecules is treated using a non-mean-field
parametric approximation. The latter method is also used in determining optimal
conditions for the formation of molecular BECComment: 5 pages with 5 figure
Curve crossing in linear potential grids: the quasidegeneracy approximation
The quasidegeneracy approximation [V. A. Yurovsky, A. Ben-Reuven, P. S.
Julienne, and Y. B. Band, J. Phys. B {\bf 32}, 1845 (1999)] is used here to
evaluate transition amplitudes for the problem of curve crossing in linear
potential grids involving two sets of parallel potentials. The approximation
describes phenomena, such as counterintuitive transitions and saturation
(incomplete population transfer), not predictable by the assumption of
independent crossings. Also, a new kind of oscillations due to quantum
interference (different from the well-known St\"uckelberg oscillations) is
disclosed, and its nature discussed. The approximation can find applications in
many fields of physics, where multistate curve crossing problems occur.Comment: LaTeX, 8 pages, 8 PostScript figures, uses REVTeX and psfig,
submitted to Physical Review
Expectation Values in the Lieb-Liniger Bose Gas
Taking advantage of an exact mapping between a relativistic integrable model
and the Lieb-Liniger model we present a novel method to compute expectation
values in the Lieb-Liniger Bose gas both at zero and finite temperature. These
quantities, relevant in the physics of one-dimensional ultracold Bose gases,
are expressed by a series that has a remarkable behavior of convergence. Among
other results, we show the computation of the three-body expectation value at
finite temperature, a quantity that rules the recombination rate of the Bose
gas.Comment: Published version. Selected for the December 2009 issue of Virtual
Journal of Atomic Quantum Fluid
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