5,226 research outputs found
Two-Particle Correlations and Mixing
We study the EPR correlation implied by the entangled wavefunction of the
pair created by the (4S) resonance. The analysis uses
the basis provided by the mass eigenstates rather than the flavour
states . Data on the inclusive dilepton charge ratio are close
to the expectation of quantum mechanics, but nearly 8 standard deviations away
from that of complete decoherence.Comment: 10 pages, Latex, no figure
CP-Violating Correlations between Lepton-Charge and Jet-Charge in Z -> b\bar b events
Correlations that signal direct CP violation in the bottom sector are
suggested. They need data on events which consist of a bottom
hadron decay into an exclusive semileptonic channel (where is
a hadron), and the other bottom hadron decay into a multi-body final state that
manifests as a jet in the opposite hemisphere.Comment: 10 pages, Latex, no figures, expanded versio
Mutual Dependence: A Novel Method for Computing Dependencies Between Random Variables
In data science, it is often required to estimate dependencies between
different data sources. These dependencies are typically calculated using
Pearson's correlation, distance correlation, and/or mutual information.
However, none of these measures satisfy all the Granger's axioms for an "ideal
measure". One such ideal measure, proposed by Granger himself, calculates the
Bhattacharyya distance between the joint probability density function (pdf) and
the product of marginal pdfs. We call this measure the mutual dependence.
However, to date this measure has not been directly computable from data. In
this paper, we use our recently introduced maximum likelihood non-parametric
estimator for band-limited pdfs, to compute the mutual dependence directly from
the data. We construct the estimator of mutual dependence and compare its
performance to standard measures (Pearson's and distance correlation) for
different known pdfs by computing convergence rates, computational complexity,
and the ability to capture nonlinear dependencies. Our mutual dependence
estimator requires fewer samples to converge to theoretical values, is faster
to compute, and captures more complex dependencies than standard measures
Dilepton asymmetries at factories in search of transitions
In order to detect the possible presence of
amplitudes in neutral meson decays, we consider the measurement of decay
time asymmetries involving like-sign dilepton events at the factories.Comment: 5 pages, latex, no fig
Searching for a Supersolid in Cold Atom Optical Lattices
We suggest a technique for the observation of a predicted supersolid phase in
extended Bose-Hubbard models which are potentially realizable in cold atom
optical lattice systems. In particular, we discuss important subtleties arising
from the existence of the trapping potential which leads to an externally
imposed (as opposed to spontaneous) breaking of translational invariance. We
show, by carefully including the trapping potential in our theoretical
formalism, that noise correlations could prove instrumental in identifying the
supersolid and density wave phases. We also find that the noise correlation
peak width scales inversely with the relative size of trapped Mott domains.Comment: 5 pages, 4 figure
- …