29,711 research outputs found
A family of rotation numbers for discrete random dynamics on the circle
We revisit the problem of well-defining rotation numbers for discrete random
dynamical systems on the circle. We show that, contrasting with deterministic
systems, the topological (i.e. based on Poincar\'{e} lifts) approach does
depend on the choice of lifts (e.g. continuously for nonatomic randomness).
Furthermore, the winding orbit rotation number does not agree with the
topological rotation number. Existence and conversion formulae between these
distinct numbers are presented. Finally, we prove a sampling in time theorem
which recover the rotation number of continuous Stratonovich stochastic
dynamical systems on out of its time discretisation of the flow.Comment: 15 page
Probing Active to Sterile Neutrino Oscillations in the LENS Detector
Sterile neutrino conversion in meter scale baselines can be sensitively
probed using monoenergetic, sub-MeV, flavor pure e-neutrinos from an artificial
MCi source and the unique technology of LENS designed to oberve the low energy
solar neutrino spectrum via tagged CC e-neutrino capture in 115-In.
Active-sterile oscillations can be directly observed in the granular LENS
detector itself to critically test and extend resuls of short baseline
accelerator and reactor experiments.Comment: 4pages, 4 figures, text and figure change
Extracting Form Factors from Data
We extract ratios of form factors at low hadronic recoil from
recent data on decays in a model-independent way. The
presented method will improve in the future with further (angular) studies in
semileptonic rare B-decays and advance our understanding of form factors, which
are important inputs in precision tests of the Standard Model
Scaling tests with dynamical overlap and rooted staggered fermions
We present a scaling analysis in the 1-flavor Schwinger model with the full
overlap and the rooted staggered determinant. In the latter case the chiral and
continuum limit of the scalar condensate do not commute, while for overlap
fermions they do. For the topological susceptibility a universal continuum
limit is suggested, as is for the partition function and the Leutwyler-Smilga
sum rule. In the heavy-quark force no difference is visible even at finite
coupling. Finally, a direct comparison between the complete overlap and the
rooted staggered determinant yields evidence that their ratio is constant up to
effects.Comment: 28 pages, 20 figures containg 37 graphs. v2: 6 new references, 2 new
footnotes (to match published version
Exact bond percolation thresholds in two dimensions
Recent work in percolation has led to exact solutions for the site and bond
critical thresholds of many new lattices. Here we show how these results can be
extended to other classes of graphs, significantly increasing the number and
variety of solved problems. Any graph that can be decomposed into a certain
arrangement of triangles, which we call self-dual, gives a class of lattices
whose percolation thresholds can be found exactly by a recently introduced
triangle-triangle transformation. We use this method to generalize Wierman's
solution of the bow-tie lattice to yield several new solutions. We also give
another example of a self-dual arrangement of triangles that leads to a further
class of solvable problems. There are certainly many more such classes.Comment: Accepted for publication in J. Phys
Coherent single atom shuttle between two Bose-Einstein condensates
We study an atomic quantum dot representing a single hyperfine "impurity"
atom which is coherently coupled to two well-separated Bose-Einstein
condensates, in the limit when the coupling between the dot and the condensates
dominates the inter-condensate tunneling coupling. It is demonstrated that the
quantum dot by itself can induce large-amplitude Josephson-like oscillations of
the particle imbalance between the condensates, which display a two-frequency
behavior. For noninteracting condensates, we provide an approximate solution to
the coupled nonlinear equations of motion which allows us to obtain these two
frequencies analytically.Comment: 4 pages of RevTex4, 4 figures; Rapid Communication in Physical Review
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