77,919 research outputs found
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
The Correlations of Greenberger-Horne-Zeilinger States Described by Hilbert-Schmidt decomposition
Using simple quantum analysis we describe the correlations of
Greenberger-Horne-Zeilinger (GHZ) states by the use of Hilbert-Schmidt (HS)
representation. Our conclusion is that while these states disprove
local-realism they do not prove any nonlocality property.Comment: to be published in Foundations of Physics Letter
Pattern Selection and Super-patterns in the Bounded Confidence Model
We study pattern formation in the bounded confidence model of opinion
dynamics. In this random process, opinion is quantified by a single variable.
Two agents may interact and reach a fair compromise, but only if their
difference of opinion falls below a fixed threshold. Starting from a uniform
distribution of opinions with compact support, a traveling wave forms and it
propagates from the domain boundary into the unstable uniform state.
Consequently, the system reaches a steady state with isolated clusters that are
separated by distance larger than the interaction range. These clusters form a
quasi-periodic pattern where the sizes of the clusters and the separations
between them are nearly constant. We obtain analytically the average separation
between clusters L. Interestingly, there are also very small quasi-periodic
modulations in the size of the clusters. The spatial periods of these
modulations are a series of integers that follow from the continued fraction
representation of the irrational average separation L.Comment: 6 pages, 6 figure
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