1,947 research outputs found
Entanglement Generation in the Scattering of One-Dimensional Particles
This article provides a convenient framework for quantitative evaluation of
the entanglement generated when two structureless, distinguishable particles
scatter non-relativistically in one dimension. It explores how three factors
determine the amount of entanglement generated: the momentum distributions of
the incoming particles, their masses, and the interaction potential. Two
important scales emerge, one set by the kinematics and one set by the dynamics.
This method also provides two approximate analytic formulas useful for
numerical evaluation of entanglement and reveals an interesting connection
between purity, linear coordinate transformations, and momentum uncertainties.Comment: 11 pages, submitted to PR
Dynamical Entanglement in Particle Scattering
This paper explores the connections between particle scattering and quantum
information theory in the context of the non-relativistic, elastic scattering
of two spin-1/2 particles. An untangled, pure, two-particle in-state is evolved
by an S-matrix that respects certain symmetries and the entanglement of the
pure out-state is measured. The analysis is phrased in terms of unitary,
irreducible representations (UIRs) of the symmetry group in question, either
the rotation group for the spin degrees of freedom or the Galilean group for
non-relativistic particles. Entanglement may occurs when multiple UIRs appear
in the direct sum decomposition of the direct product in-state, but it also
depends of the scattering phase shifts. \keywords{dynamical entanglement,
scattering, Clebsch-Gordan methods}Comment: 6 pages, submitted to Int. J. Mod. Phys. A as part of MRST 2005
conference proceeding
Galilean and Dynamical Invariance of Entanglement in Particle Scattering
Particle systems admit a variety of tensor product structures (TPSs)
depending on the algebra of observables chosen for analysis. Global symmetry
transformations and dynamical transformations may be resolved into local
unitary operators with respect to certain TPSs and not with respect to others.
Symmetry-invariant and dynamical-invariant TPSs are defined and various notions
of entanglement are considered for scattering states.Comment: 4 pages, no figures; v.3 has typos corrected, a new reference, and a
revised conclusio
Effective Field Theory and Unification in AdS Backgrounds
This work is an extension of our previous work, hep-th/0204160, which showed
how to systematically calculate the high energy evolution of gauge couplings in
compact AdS_5 backgrounds. We first directly compute the one-loop effects of
massive charged scalar fields on the low energy couplings of a gauge theory
propagating in the AdS background. It is found that scalar bulk mass scales
(which generically are of order the Planck scale) enter only logarithmically in
the corrections to the tree-level gauge couplings. As we pointed out
previously, we show that the large logarithms that appear in the AdS one-loop
calculation can be obtained within the confines of an effective field theory,
by running the Planck brane correlator from a high UV matching scale down to
the TeV scale. This result exactly reproduces our previous calculation, which
was based on AdS/CFT duality. We also calculate the effects of scalar fields
satisfying non-trivial boundary conditions (relevant for orbifold breaking of
bulk symmetries) on the running of gauge couplings.Comment: LaTeX, 27 pages; minor typos fixed, comments adde
Studying High Energy Final State Interactions by N/D Method
We discuss the final state interaction effects at high energies via a
multi-channel N/D method. We find that the 2 by 2 charge--exchange final state
interactions typically contribute an enhancement factor of a few times
in the meson decay amplitudes, both for the real and the
imaginary part. We also make some discussions on the elastic rescattering
effects.Comment: 10 pages, revte
Mapping of strongly correlated steady-state nonequilibrium to an effective equilibrium
By mapping steady-state nonequilibrium to an effective equilibrium, we
formulate nonequilibrium problems within an equilibrium picture where we can
apply existing equilibrium many-body techniques to steady-state electron
transport problems. We study the analytic properties of many-body scattering
states, reduce the boundary condition operator in a simple form and prove that
this mapping is equivalent to the correct linear-response theory. In an example
of infinite-U Anderson impurity model, we approximately solve for the
scattering state creation operators, based on which we derive the bias operator
Y to construct the nonequilibrium ensemble in the form of the Boltzmann factor
exp(-beta(H-Y)). The resulting Hamiltonian is solved by the non-crossing
approximation. We obtain the Kondo anomaly conductance at zero bias, inelastic
transport via the charge excitation on the quantum dot and significant
inelastic current background over a wide range of bias. Finally, we propose a
self-consistent algorithm of mapping general steady-state nonequilibrium.Comment: 15 pages, 9 figure
Higgs Mechanism and Bulk Gauge Boson Masses in the Randall-Sundrum Model
Assuming the breaking of gauge symmetries by the Higgs mechanism, we consider
the associated bulk gauge boson masses in the Randall-Sundrum background. With
the Higgs field confined on the TeV-brane, the W and Z boson masses can
naturally be an order of magnitude smaller than their Kaluza-Klein excitation
masses. Current electroweak precision data requires the lowest excited state to
lie above about 30 TeV, with fermions on the TeV-brane. This bound is reduced
to about 10 TeV if the fermions reside sufficiently close to the Planck-brane.
Thus, some tuning of parameters is needed. We also discuss the bulk Higgs case,
where the bounds are an order of magnitude smaller.Comment: 5 pages, 5 figures, using REVTeX, slightly expanded version to appear
in Phys. Rev.
Natural entropy fluctuations discriminate similar looking electric signals emitted from systems of different dynamics
Complexity measures are introduced, that quantify the change of the natural
entropy fluctuations at different length scales in time-series emitted from
systems operating far from equilibrium. They identify impending sudden cardiac
death (SD) by analyzing fifteen minutes electrocardiograms, and comparing to
those of truly healthy humans (H). These measures seem to be complementary to
the ones suggested recently [Phys. Rev. E {\bf 70}, 011106 (2004)] and
altogether enable the classification of individuals into three categories: H,
heart disease patients and SD. All the SD individuals, who exhibit critical
dynamics, result in a common behavior.Comment: Published in Physical Review
On a Covariant Determination of Mass Scales in Warped Backgrounds
We propose a method of determining masses in brane scenarios which is
independent of coordinate transformations. We apply our method to the scenario
of Randall and Sundrum (RS) with two branes, which provides a solution to the
hierarchy problem. The core of our proposal is the use of covariant equations
and expressing all coordinate quantities in terms of invariant distances. In
the RS model we find that massive brane fields propagate proper distances
inversely proportional to masses that are not exponentially suppressed. The
hierarchy between the gravitational and weak interactions is nevertheless
preserved on the visible brane due to suppression of gravitational interactions
on that brane. The towers of Kaluza-Klein states for bulk fields are observed
to have different spacings on different branes when all masses are measured in
units of the fundamental scale. Ratios of masses on each brane are the same in
our covariant and the standard interpretations. Since masses of brane fields
are not exponentiated, the fundamental scale of higher-dimensional gravity must
be of the order of the weak scale.Comment: 14 page
Description of stochastic and chaotic series using visibility graphs
Nonlinear time series analysis is an active field of research that studies
the structure of complex signals in order to derive information of the process
that generated those series, for understanding, modeling and forecasting
purposes. In the last years, some methods mapping time series to network
representations have been proposed. The purpose is to investigate on the
properties of the series through graph theoretical tools recently developed in
the core of the celebrated complex network theory. Among some other methods,
the so-called visibility algorithm has received much attention, since it has
been shown that series correlations are captured by the algorithm and
translated in the associated graph, opening the possibility of building
fruitful connections between time series analysis, nonlinear dynamics, and
graph theory. Here we use the horizontal visibility algorithm to characterize
and distinguish between correlated stochastic, uncorrelated and chaotic
processes. We show that in every case the series maps into a graph with
exponential degree distribution P (k) ~ exp(-{\lambda}k), where the value of
{\lambda} characterizes the specific process. The frontier between chaotic and
correlated stochastic processes, {\lambda} = ln(3/2), can be calculated
exactly, and some other analytical developments confirm the results provided by
extensive numerical simulations and (short) experimental time series
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