5 research outputs found
Detection of vorticity in Bose-Einstein condensed gases by matter-wave interference
A phase-slip in the fringes of an interference pattern is an unmistakable
characteristic of vorticity. We show dramatic two-dimensional simulations of
interference between expanding condensate clouds with and without vorticity. In
this way, vortices may be detected even when the core itself cannot be
resolved.Comment: 3 pages, RevTeX, plus 6 PostScript figure
Generalized Pseudopotentials for Higher Partial Wave Scattering
We derive a generalized zero-range pseudopotential applicable to all partial
wave solutions to the Schroedinger equation based on a delta-shell potential in
the limit that the shell radius approaches zero. This properly models all
higher order multipole moments not accounted for with a monopolar delta
function at the origin, as used in the familiar Fermi pseudopotential for
s-wave scattering. By making the strength of the potential energy dependent, we
derive self-consistent solutions for the entire energy spectrum of the
realistic potential. We apply this to study two particles in an isotropic
harmonic trap, interacting through a central potential, and derive analytic
expressions for the energy eigenstates and eigenvalues.Comment: RevTeX 4 pages, 1 figure, final published versio
Creation of vortices in a Bose-Einstein condensate by a Raman technique
We propose a method for taking a Bose-Einstein condensate in the ground trap
state simultaneously to a different atomic hyperfine state and to a vortex trap
state. This can be accomplished through a Raman scheme in which one of the two
copropagating laser beams has a higher-order Laguerre-Gaussian mode profile.
Coefficients relating the beam waist, pulse area, and trap potentials for a
complete transfer to the m = 1 vortex are calculated for a condensate in the
non-interacting and strongly interacting regimes.Comment: RevTex, 4 pages, 2 PostScript figure
Reconstruction of the joint state of a two-mode Bose-Einstein condensate
We propose a scheme to reconstruct the state of a two-mode Bose-Einstein
condensate, with a given total number of atoms, using an atom interferometer
that requires beam splitter, phase shift and non-ideal atom counting
operations. The density matrix in the number-state basis can be computed
directly from the probabilities of different counts for various phase shifts
between the original modes, unless the beamsplitter is exactly balanced.
Simulated noisy data from a two-mode coherent state is produced and the state
is reconstructed, for 49 atoms. The error can be estimated from the singular
values of the transformation matrix between state and probability data.Comment: 4 pages (REVTeX), 5 figures (PostScript