pinecone/core-2020-05-10-deduplication huggingface dataset:
The symmetric Radon-Nikod\'ym property for tensor norms

We introduce the symmetric-Radon-Nikod\'ym property (sRN property) for
finitely generated s-tensor norms $\beta$ of order $n$ and prove a Lewis type
theorem for s-tensor norms with this property. As a consequence, if $\beta$ is
a projective s-tensor norm with the sRN property, then for every Asplund space
$E$, the canonical map $\widetilde{\otimes}_{\beta}^{n,s} E' \to
\Big(\widetilde{\otimes}_{\beta'}^{n,s} E \Big)'$ is a metric surjection. This
can be rephrased as the isometric isomorphism $\mathcal{Q}^{min}(E) =
\mathcal{Q}(E)$ for certain polynomial ideal $\Q$. We also relate the sRN
property of an s-tensor norm with the Asplund or Radon-Nikod\'{y}m properties
of different tensor products. Similar results for full tensor products are also
given. As an application, results concerning the ideal of $n$-homogeneous
extendible polynomials are obtained, as well as a new proof of the well known
isometric isomorphism between nuclear and integral polynomials on Asplund
spaces.Comment: 17 page
On a possible node in the Sivers and Qiu-Sterman functions

The possibility of a node in the x dependence of the Sivers and Qiu-Sterman
functions is discussed in light of its importance for the experimental check of
the overall sign change of the Sivers effect between semi-inclusive DIS and the
Drell-Yan process. An x-dependent version of the
Ehrnsperger-Schaefer-Greiner-Mankiewicz relation between the Qiu-Sterman
function and a twist-3 part of g_2 is presented, which naturally suggests a
node in the Qiu-Sterman function. This relation could be checked experimentally
as well and could provide qualitative information on the gluonic field strength
inside the proton. Satisfying the Burkardt sum rule by means of a node is
briefly discussed and the importance of modelling the Sivers function including
its full Wilson line is pointed out.Comment: 6 pages, no figures, various modifications, mainly concerning flavor
  dependenc
Evolution of the universality class in slightly diluted (1>p>0.8) Ising
  systems

The crossover of a pure (undiluted) Ising system (spin per site probability
p=1) to a diluted Ising system (spin per site probability p<0.8) is studied by
means of Monte Carlo calculations with p ranging between 1 and 0.8 at intervals
of 0.025. The evolution of the self averaging is analyzed by direct
determination of the normalized square widths for magnetization and
susceptibility as a function of p. We find a monotonous and smooth evolution
from the pure to the randomly diluted universality class. The p-dependent
transition is found to be independent of the size (L). This property is very
convenient for extrapolation towards the randomly diluted universality class
avoiding complications resulting from finite size effects.Comment: 15 pages, 6 figures, RevTe
Spintronics and Quantum Dots for Quantum Computing and Quantum
  Communication

Control over electron-spin states, such as coherent manipulation, filtering
and measurement promises access to new technologies in conventional as well as
in quantum computation and quantum communication. We review our proposal of
using electron spins in quantum confined structures as qubits and discuss the
requirements for implementing a quantum computer. We describe several
realizations of one- and two-qubit gates and of the read-in and read-out tasks.
We discuss recently proposed schemes for using a single quantum dot as
spin-filter and spin-memory device. Considering electronic EPR pairs needed for
quantum communication we show that their spin entanglement can be detected in
mesoscopic transport measurements using metallic as well as superconducting
leads attached to the dots.Comment: Prepared for Fortschritte der Physik special issue, Experimental
  Proposals for Quantum Computation. 15 pages, 5 figures; typos corrected,
  references adde
Linear-scaling ab-initio calculations for large and complex systems

A brief review of the SIESTA project is presented in the context of
linear-scaling density-functional methods for electronic-structure calculations
and molecular-dynamics simulations of systems with a large number of atoms.
Applications of the method to different systems are reviewed, including carbon
nanotubes, gold nanostructures, adsorbates on silicon surfaces, and nucleic
acids. Also, progress in atomic-orbital bases adapted to linear-scaling
methodology is presented.Comment: 5 pages + 4 figures, submitted to Proc. Int. Conf. Solid State
  Spectroscopy (Sept 1999
Conductance distribution of disordered quasi one-dimensional wires

We determine analytically the distribution of conductances of quasi
one-dimensional disordered electron systems, neglecting electron-electron
interaction, for all strengths of disorder. We find that in the crossover
region between the metallic and insulating regimes, P(g) is highly asymmetric,
given by ``one-sided'' log-normal distribution. For larger disorder, the tail
of the log-normal distribution is cut-off for g > 1 by a Gaussian.Comment: 6 pages, LaTeX2e, 2 eps-figures, uses annalen.cls; presented at
  LOC99; minor change
V-A hadronic tau decays : a laboratory for the QCD vacuum

ALEPH/OPAL data on the V-A spectral functions from hadronic tau decays are
used in connection with a set of Laplace transform sum rules (LSR) for fixing
the size of the QCD vacuum condensates up to dimension 18. Our results favour
the ones from large-N_c QCD within the Minimal Hadronic Approximation (MHA) and
show a violation of about a factor 2-5 of the vacuum saturation estimate of the
dimension-six to -ten condensates. We scrutinize the different determinations
of the QCD vacuum condensates using tau-decays data. After revisiting some of
the existing results, we present coherent values of the condensates from
different methods.Comment: Version to appear in Phys. Lett.
Flow of Navier-Stokes Fluids in Converging-Diverging Distensible Tubes

We use a method based on the lubrication approximation in conjunction with a
residual-based mass-continuity iterative solution scheme to compute the flow
rate and pressure field in distensible converging-diverging tubes for
Navier-Stokes fluids. We employ an analytical formula derived from a
one-dimensional version of the Navier-Stokes equations to describe the
underlying flow model that provides the residual function. This formula
correlates the flow rate to the boundary pressures in straight cylindrical
elastic tubes with constant-radius. We validate our findings by the convergence
toward a final solution with fine discretization as well as by comparison to
the Poiseuille-type flow in its convergence toward analytic solutions found
earlier in rigid converging-diverging tubes. We also tested the method on
limiting special cases of cylindrical elastic tubes with constant-radius where
the numerical solutions converged to the expected analytical solutions. The
distensible model has also been endorsed by its convergence toward the rigid
Poiseuille-type model with increasing the tube wall stiffness.
Lubrication-based one-dimensional finite element method was also used for
verification. In this investigation five converging-diverging geometries are
used for demonstration, validation and as prototypes for modeling
converging-diverging geometries in general.Comment: 31 pages, 9 figures, 2 table
On the solutions to the multi-parametric Yang-Baxter equations

A unified approach is applied in the consideration of the multi-parametric
(colored) Yang-Baxter equations (YBE) and the usual YBE with two-parametric
R-matrices, relying on the existence of the arbitrary functions in the general
solutions. The colored YBE are considered with the R-matrices defined on two
and three dimensional states. We present an exhaustive study and the overall
solutions for the YBE with $4 \times 4$ colored R-matrices. The established
classification includes new multi-parametric free fermionic solutions. In the
context of the given approach there are obtained the colored solutions to the
YBE with $9 \times 9$ R-matrices having 15 non-zero elements.Comment: 30 pages, references are added, clarifications are don
Improved estimates of the nuclear structure corrections in $\mu$D

We calculate the nuclear structure corrections to the Lamb shift in muonic
deuterium by using state-of-the-art nucleon-nucleon potentials derived from
chiral effective field theory. Our calculations complement previous theoretical
work obtained from phenomenological potentials and the zero range
approximation. The study of the chiral convergence order-by-order and the
dependence on cutoff variations allows us to improve the estimates on the
nuclear structure corrections and the theoretical uncertainty coming from
nuclear potentials. This will enter the determination of the nuclear radius
from ongoing muonic deuterium experiments at PSI.Comment: 6 pages, 2 figures, 3 table
Extended supersymmetry in AdS_3 higher spin theories

We determine the asymptotic symmetry algebra (for fields of low spin) of the
$M\times M$ matrix extended Vasiliev theories on AdS$_3$ and find that it
agrees with the $\mathcal{W}$-algebra of their proposed coset duals. Previously
it was noticed that for $M=2$ the supersymmetry increases from $\mathcal{N}=2$
to $\mathcal{N}=4$. We study more systematically this type of supersymmetry
enhancements and find that, although the higher spin algebra has extended
supersymmetry for all $M\geq 2$, the corresponding asymptotic symmetry algebra
fails to be superconformal except for $M=2$, when it has large $\mathcal{N}=4$
superconformal symmetry. Moreover, we find that the Vasiliev theories based on
$shs^E\! \left( \mathcal{N} \vert 2, \mathbb{R} \right)$ are special cases of
the matrix extended higher spin theories, and hence have the same supersymmetry
properties.Comment: 23 page
Pulsating low-mass white dwarfs in the frame of new evolutionary
  sequences: I. Adiabatic properties

The discovery of pulsations in some low-mass white dwarfs, including the
so-called extremely low-mass white dwarfs, has opened the unprecedented
opportunity of probing the internal structure of these ancient stars. We
present a detailed adiabatic pulsational study of these stars based on a new
set of He-core white-dwarf models with masses ranging from $0.1554$ to $0.4352
M_{\odot}$ derived by computing the non-conservative evolution of a binary
system consisting of an initially $1 M_{\odot}$ ZAMS star and a $1.4 M_{\odot}$
neutron star. We computed adiabatic radial ($\ell= 0$) and non-radial ($\ell=
1, 2$) $p$ and $g$ modes to assess the dependence of the pulsational properties
of these objects on stellar parameters such as the stellar mass and the
effective temperature, as well as the effects of element diffusion. We found
that for white dwarf models with masses below $\sim 0.18 M_{\odot}$, $g$ modes
mainly probe the core regions and $p$ modes the envelope, therefore pulsations
offer the opportunity of constraining both the core and envelope chemical
structure of these stars via asteroseismology. For models with $M_* \gtrsim
0.18 M_{\odot}$, on the other hand, $g$ modes are very sensitive to the He/H
compositional gradient and therefore can be used as a diagnostic tool for
constraining the H envelope thickness. Because both types of objects have not
only very distinct evolutionary histories (according to whether the progenitor
stars have experienced CNO-flashes or not), but also have strongly different
pulsation properties, we propose to define white dwarfs with masses below $\sim
0.18 M_{\odot}$ as ELM (extremely low-mass) white dwarfs, and white dwarfs with
$M_* \gtrsim 0.18 M_{\odot}$ as LM (low-mass) white dwarfs.Comment: 22 pages, 32 figures, 1 table. To be published in Astronomy &
  Astrophysic
Galaxy number counts - V. Ultra-deep counts: The Herschel and Hubble Deep Fields

We present u,b,r & i galaxy number counts and colours both from the North and South Hubble Space Telescope Deep Fields and from the William Herschel Deep Field. The latter comprises a 7'x7' area of sky reaching b~28.5 at its deepest. We show that simple Bruzual & Charlot evolutionary models which assume exponentially increasing star-formation rates with look-back time and q_0=0.05 continue to give excellent fits to galaxy counts and colours in the deep imaging data. With q_0=0.5, an extra population of `disappearing dwarf' galaxies is required to fit the optical counts. When we compare the observed and predicted galaxy counts for UV dropouts in the range 2<z<3.5 we find excellent agreement, indicating that the space density of galaxies may not have changed much since z=0 and identifying the Lyman break galaxies with the bright end of the evolved spiral luminosity function. Making the same comparison for B dropout galaxies in the range 3.5<z<4.5 we find that the space density of intrinsically bright galaxies remains the same but the space density of faint galaxies drops by a factor of ~5 compared to the models, consistent with the idea that L* galaxies were already in place at z~4 but that dwarf galaxies may have formed later at 3<z<4
Singular Lagrangian Systems on Jet Bundles

The jet bundle description of time-dependent mechanics is revisited. The
constraint algorithm for singular Lagrangians is discussed and an exhaustive
description of the constraint functions is given. By means of auxiliary
connections we give a basis of constraint functions in the Lagrangian and
Hamiltonian sides. An additional description of constraints is also given
considering at the same time compatibility, stability and second-order
condition problems. Finally, a classification of the constraints in first and
second class is obtained using a cosymplectic geometry setting. Using the
second class constraints, a Dirac bracket is introduced, extending the
well-known construction by Dirac.Comment: 65 pages. LaTeX fil
Quantum computing with trapped ions, atoms and light

We first consider the basic requirements for a quantum computer, arguing for
the attractiveness of nuclear spins as information-bearing entities, and light
for the coupling which allows quantum gates. We then survey the strengths of
and immediate prospects for quantum information processing in ion traps. We
discuss decoherence and gate rates in ion traps, comparing methods based on the
vibrational motion with a method based on exchange of photons in cavity QED. We
then sketch the main features of a quantum computer designed to allow an
algorithm needing 10^6 Toffoli gates on 100 logical qubits. We find that around
200 ion traps linked by optical fibres and high-finesse cavities could perform
such an algorithm in a week to a month, using components at or near current
levels of technology.Comment: 17 pages, for Fortschritte der Physik special issu
Micelle shape transitions in block copolymer/homopolymer blends : comparison of self-consistent field theory with experiment.

Diblock copolymers blended with homopolymer may self-assemble into spherical, cylindrical, or lamellar aggregates. Transitions between these structures may be driven by varying the homopolymer diblock molecular weight or composition. Using self-consistent field theory (SCFT), we reproduce these effects. Our results are compared to x-ray scattering and transmission electron microscopy measurements by Kinning et al. and good agreement is found, although the tendency to form cylindrical and lamellar structures is sometimes overestimated due to our neglect of edge effects due to the finite size of these aggregates. Our results demonstrate that SCFT can provide detailed information on the self-assembly of isolated block copolymer aggregates
Fall-off of eigenfunctions for non-local Schr\"odinger operators with
  decaying potentials

We study the spatial decay of eigenfunctions of non-local Schr\"odinger
operators whose kinetic terms are generators of symmetric jump-paring L\'evy
processes with Kato-class potentials decaying at infinity. This class of
processes has the property that the intensity of single large jumps dominates
the intensity of all multiple large jumps. We find that the decay rates of
eigenfunctions depend on the process via specific preference rates in
particular jump scenarios, and depend on the potential through the distance of
the corresponding eigenvalue from the edge of the continuous spectrum. We prove
that the conditions of the jump-paring class imply that for all eigenvalues the
corresponding positive eigenfunctions decay at most as rapidly as the L\'evy
intensity. This condition is sharp in the sense that if the jump-paring
property fails to hold, then eigenfunction decay becomes slower than the decay
of the L\'evy intensity. We furthermore prove that under reasonable conditions
the L\'evy intensity also governs the upper bounds of eigenfunctions, and
ground states are comparable with it, i.e., two-sided bounds hold. As an
interesting consequence, we identify a sharp regime change in the decay of
eigenfunctions as the L\'evy intensity is varied from sub-exponential to
exponential order, and dependent on the location of the eigenvalue, in the
sense that through the transition L\'evy intensity-driven decay becomes slower
than the rate of decay of L\'evy intensity. Our approach is based on path
integration and probabilistic potential theory techniques, and all results are
also illustrated by specific examples.Comment: to appear in Potential Analysis, 40 page
Measurement of charged-particle spectra in Pb+Pb collisions at
  $\sqrt{{s}_\mathsf{{NN}}} = 2.76$ TeV with the ATLAS detector at the LHC

Charged-particle spectra obtained in 0.15 nb${}^{-1}$ of Pb+Pb interactions
at $\sqrt{{s}_\mathsf{{NN}}}=2.76$TeV and 4.2 pb${}^{-1}$ of pp interactions at
$\sqrt{s}=2.76$ TeV with the ATLAS detector at the LHC are presented in a wide
transverse momentum ($0.5 < p_{\mathrm{T}} < 150$ GeV) and pseudorapidity
($|\eta|<2$) range. For Pb+Pb collisions, the spectra are presented as a
function of collision centrality, which is determined by the response of the
forward calorimeter located on both sides of the interaction point. The nuclear
modification factors $R_{\mathrm{AA}}$ and $R_{\mathrm{CP}}$ are presented in
detail as function of centrality, $p_{\mathrm{T}}$ and $\eta$. They show a
distinct $p_{\mathrm{T}}$-dependence with a pronounced minimum at about 7 GeV.
Above 60 GeV, $R_{\mathrm{AA}}$ is consistent with a plateau at a
centrality-dependent value, within the uncertainties. The value is
$0.55\pm0.01(stat.)\pm0.04(syst.)$ in the most central collisions. The
$R_{\mathrm{AA}}$ distribution is consistent with flat $|\eta|$ dependence over
the whole transverse momentum range in all centrality classes.Comment: 36 pages plus author list + cover pages (57 pages total), 18 figures,
  4 tables, published in JHEP09(2015)050. All figures including auxiliary
  figures are available at
  https://atlas.web.cern.ch/Atlas/GROUPS/PHYSICS/PAPERS/HION-2011-03
The variation of tidal dissipation in the convective envelope of
  low-mass stars along their evolution

Since 1995, more than 1500 exoplanets have been discovered around a large
diversity of host stars (from M- to A-type stars). Tidal dissipation in stellar
convective envelopes is a key actor that shapes the orbital architecture of
short-period systems. Our objective is to understand and evaluate how tidal
dissipation in the convective envelope of low-mass stars (from M to F types)
depends on their mass, evolutionary stage and rotation. Using a simplified
two-layer assumption, we compute analytically the frequency-averaged tidal
dissipation in their convective envelope. This dissipation is due to the
conversion into heat of the kinetic energy of tidal non wave-like/equilibrium
flow and inertial waves because of the viscous friction applied by turbulent
convection. Using grids of stellar models allows us to study the variation of
the dissipation as a function of stellar mass and age on the Pre-Main-Sequence
and on the Main-Sequence for stars with masses spanning from $0.4$ to
$1.4M_{\odot}$. As shown by observations, tidal dissipation in stars varies
over several orders of magnitude as a function of stellar mass, age and
rotation. During their Pre-Main-Sequence, all low-mass stars have an increase
of the frequency-averaged tidal dissipation for a fixed angular velocity in
their convective envelope until they reach a critical aspect and mass ratios.
Next, the dissipation evolves on the Main Sequence to an asymptotic value that
becomes maximum for $0.6M_{\odot}$ K-type stars and that decreases by several
orders of magnitude with increasing stellar mass. Finally, the rotational
evolution of low-mass stars strengthens the importance of tidal dissipation
during the Pre-Main-Sequence for star-planet and multiple star systems.Comment: 5 pages, 4 figures, accepted for publication as a Letter in Astronomy
  & Astrophysic
Coherent $\psi$(2S) photo-production in ultra-peripheral Pb-Pb
  collisions at $\sqrt{s}_{\rm NN}$ = 2.76 TeV

We have has performed the first measurement of the coherent $\psi$(2S)
photo-production cross section in ultra-peripheral Pb-Pb collisions at the LHC.
This charmonium excited state is reconstructed via the $\psi$(2S) $\rightarrow
l^{+}l^{-}$ and $\psi$(2S) $\rightarrow$ J/$\psi \pi^{+}\pi^{-}$ decays, where
the J/$\psi$ decays into two leptons. The analysis is based on an event sample
corresponding to an integrated luminosity of about 22 $\mu\rm{b}^{-1}$. The
cross section for coherent $\psi$(2S) production in the rapidity interval
$-0.9<y<0.9$ is $\mathrm{d}\sigma_{\psi{\rm(2S)}}^{\rm coh}/\mathrm{d}y
=0.83\pm 0.19\big(\mathrm{\rm{stat}+{\rm syst}}\big)$ mb. The $\psi$(2S) to
J/$\psi$ coherent cross section ratio is $0.34^{+0.08}_{-0.07}(\rm{stat}+{\rm
syst})$. The obtained results are compared to predictions from theoretical
models.Comment: 22 pages, 5 captioned figures, 3 tables, authors from page 17,
  published version, figures at
  http://aliceinfo.cern.ch/ArtSubmission/node/185