3,295 research outputs found
Spectrum of radiation from axion strings
In the wide variety of axion cosmologies in which axion strings form, their
radiative decay is the dominant mechanism for the production of axions,
imposing a tight constraint on the axion mass. Here, we focus on the mechanism
by which axions are produced in this scenario and, in particular, the key issue
of the axion spectrum emitted by an evolving network of strings.Comment: to be published in the proceedings of the 5th IFT Workshop on Axion
Dissipation in a 2-dimensional Hilbert space: Various forms of complete positivity
We consider the time evolution of the density matrix in a
2-dimensional complex Hilbert space. We allow for dissipation by adding to the
von Neumann equation a term , which is of Lindblad type in order to
assure complete positivity of the time evolution. We present five equivalent
forms of . In particular, we connect the familiar dissipation matrix
with a geometric version of , where consists of a positive sum
of projectors onto planes in . We also study the minimal number
of Lindblad terms needed to describe the most general case of . All
proofs are worked out comprehensively, as they present at the same time a
practical procedure how to determine explicitly the different forms of
. Finally, we perform a general discussion of the asymptotic behaviour
of the density matrix and we relate the two types of asymptotic
behaviour with our geometric version of .Comment: 11 pages, LaTeX, no figures. Further aspects of complete positivity
worked out and references added; version accepted for publication in Phys.
Lett.
Statistics of Wave Functions in Coupled Chaotic Systems
Using the supersymmetry technique, we calculate the joint distribution of
local densities of electron wavefunctions in two coupled disordered or chaotic
quantum billiards. We find novel spatial correlations that are absent in a
single chaotic system. Our exact result can be interpreted for small coupling
in terms of the hybridization of eigenstates of the isolated billiards. We show
that the presented picture is universal, independent of microscopic details of
the coupling.Comment: 4 pages, 2 figures; acknowledgements and references adde
A Pair of Disjoint 3-GDDs of type g^t u^1
Pairwise disjoint 3-GDDs can be used to construct some optimal
constant-weight codes. We study the existence of a pair of disjoint 3-GDDs of
type and establish that its necessary conditions are also sufficient.Comment: Designs, Codes and Cryptography (to appear
State sampling dependence of the Hopfield network inference
The fully connected Hopfield network is inferred based on observed
magnetizations and pairwise correlations. We present the system in the glassy
phase with low temperature and high memory load. We find that the inference
error is very sensitive to the form of state sampling. When a single state is
sampled to compute magnetizations and correlations, the inference error is
almost indistinguishable irrespective of the sampled state. However, the error
can be greatly reduced if the data is collected with state transitions. Our
result holds for different disorder samples and accounts for the previously
observed large fluctuations of inference error at low temperatures.Comment: 4 pages, 1 figure, further discussions added and relevant references
adde
Skyrmion Excitation in Two-Dimensional Spinor Bose-Einstein Condensate
We study the properties of coreless vortices(skyrmion) in spinor
Bose-Einstein condensate. We find that this excitation is always energetically
unstable, it always decays to an uniform spin texture. We obtain the skyrmion
energy as a function of its size and position, a key quantity in understanding
the decay process. We also point out that the decay rate of a skyrmion with
high winding number will be slower. The interaction between skyrmions and other
excitation modes are also discussed.Comment: 5 pages, 4 figures, final version published in Phys. Rev.
Weak-Localization in Chaotic Versus Non-Chaotic Cavities: A Striking Difference in the Line Shape
We report experimental evidence that chaotic and non-chaotic scattering
through ballistic cavities display distinct signatures in quantum transport. In
the case of non-chaotic cavities, we observe a linear decrease in the average
resistance with magnetic field which contrasts markedly with a Lorentzian
behavior for a chaotic cavity. This difference in line-shape of the
weak-localization peak is related to the differing distribution of areas
enclosed by electron trajectories. In addition, periodic oscillations are
observed which are probably associated with the Aharonov-Bohm effect through a
periodic orbit within the cavities.Comment: 4 pages revtex + 4 figures on request; amc.hub.94.
Massive Charged Scalar Quasinormal Modes of Reissner-N\"ordstrom Black Hole Surrounded by Quintessence
We evaluate the complex frequencies of the normal modes for the massive
charged scalar field perturbations around a Reissner-N\"ordstrom black hole
surrounded by a static and spherically symmetric quintessence using third order
WKB approximation approach. Due to the presence of quintessence, quasinormal
frequencies damp more slowly. We studied the variation of quasinormal
frequencies with charge of the black bole, mass and charge of perturbating
scalar field and the quintessential state parameter.Comment: 9 pages, 9 figures and one tabl
On the ratio of consecutive gaps between primes
In the present work we prove a common generalization of Maynard-Tao's recent
result about consecutive bounded gaps between primes and on the
Erd\H{o}s-Rankin bound about large gaps between consecutive primes. The work
answers in a strong form a 60 years old problem of Erd\"os, which asked whether
the ratio of two consecutive primegaps can be infinitely often arbitrarily
small, and arbitrarily large, respectively
The American Clinical Neurophysiology Societyʼs Guideline on Continuous Electroencephalography Monitoring in Neonates:
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