1,664 research outputs found
Diamagnetic orbital response of mesoscopic silver rings
We report measurements of the flux-dependent orbital magnetic susceptibility
of an ensemble of 10^5 disconnected silver rings at 217 MHz. Because of the
strong spin-orbit scattering rate in silver this experiment is a test of
existing theories on orbital magnetism. Below 100 mK the rings exhibit a
magnetic signal with a flux periodicity of h/2 e consistent with averaged
persistent currents, whose amplitude is estimated to be of the order of 0.3 nA.
The sign of the oscillations indicates diamagnetism in the vicinity of zero
magnetic field. This sign is not consistent with theoretical predictions for
average persistent currents unless considering attractive interactions in
silver. We propose an alternative interpretation taking into account spin orbit
scattering and finite frequency.Comment: 4 pages, 4 figures, revtex4, accepted for publication in Physical
Review Letter
Fostering collective intelligence education
New educational models are necessary to update learning environments to the digitally shared communication and information. Collective intelligence is an emerging field that already has a significant impact in many areas and will have great implications in education, not only from the side of new methodologies but also as a challenge for education. This paper proposes an approach to a collective intelligence model of teaching using Internet to combine two strategies: idea management and real time assessment in the class. A digital tool named Fabricius has been created supporting these two elements to foster the collaboration and engagement of students in the learning process. As a result of the research we propose a list of KPI trying to measure individual and collective performance. We are conscious that this is just a first approach to define which aspects of a class following a course can be qualified and quantified.Postprint (published version
Stochastic series expansion method for quantum Ising models with arbitrary interactions
A quantum Monte Carlo algorithm for the transverse Ising model with arbitrary
short- or long-range interactions is presented. The algorithm is based on
sampling the diagonal matrix elements of the power series expansion of the
density matrix (stochastic series expansion), and avoids the interaction
summations necessary in conventional methods. In the case of long-range
interactions, the scaling of the computation time with the system size N is
therefore reduced from N^2 to Nln(N). The method is tested on a one-dimensional
ferromagnet in a transverse field, with interactions decaying as 1/r^2.Comment: 9 pages, 5 figure
Anomalous Spreading of Power-Law Quantum Wave Packets
We introduce power-law tail quantum wave packets. We show that they can be
seen as eigenfunctions of a Hamiltonian with a physical potential. We prove
that the free evolution of these packets presents an asymptotic decay of the
maximum of the wave packets which is anomalous for an interval of the
characterizing power-law exponent. We also prove that the number of finite
moments of the wave packets is a conserved quantity during the evolution of the
wave packet in the free space.Comment: 5 pages, 3 figures, to appear in Phys. Rev. Let
Stress transmission in granular matter
The transmission of forces through a disordered granular system is studied by
means of a geometrical-topological approach that reduces the granular packing
into a set of layers. This layered structure constitutes the skeleton through
which the force chains set up. Given the granular packing, and the region where
the force is applied, such a skeleton is uniquely defined. Within this
framework, we write an equation for the transmission of the vertical forces
that can be solved recursively layer by layer. We find that a special class of
analytical solutions for this equation are L\'evi-stable distributions. We
discuss the link between criticality and fragility and we show how the
disordered packing naturally induces the formation of force-chains and arches.
We point out that critical regimes, with power law distributions, are
associated with the roughness of the topological layers. Whereas, fragility is
associated with local changes in the force network induced by local granular
rearrangements or by changes in the applied force. The results are compared
with recent experimental observations in particulate matter and with computer
simulations.Comment: 14 pages, Latex, 5 EPS figure
Conformal compactification and cycle-preserving symmetries of spacetimes
The cycle-preserving symmetries for the nine two-dimensional real spaces of
constant curvature are collectively obtained within a Cayley-Klein framework.
This approach affords a unified and global study of the conformal structure of
the three classical Riemannian spaces as well as of the six relativistic and
non-relativistic spacetimes (Minkowskian, de Sitter, anti-de Sitter, both
Newton-Hooke and Galilean), and gives rise to general expressions holding
simultaneously for all of them. Their metric structure and cycles (lines with
constant geodesic curvature that include geodesics and circles) are explicitly
characterized. The corresponding cyclic (Mobius-like) Lie groups together with
the differential realizations of their algebras are then deduced; this
derivation is new and much simpler than the usual ones and applies to any
homogeneous space in the Cayley-Klein family, whether flat or curved and with
any signature. Laplace and wave-type differential equations with conformal
algebra symmetry are constructed. Furthermore, the conformal groups are
realized as matrix groups acting as globally defined linear transformations in
a four-dimensional "conformal ambient space", which in turn leads to an
explicit description of the "conformal completion" or compactification of the
nine spaces.Comment: 43 pages, LaTe
Remanence effects in the electrical resistivity of spin glasses
We have measured the low temperature electrical resistivity of Ag : Mn
mesoscopic spin glasses prepared by ion implantation with a concentration of
700 ppm. As expected, we observe a clear maximum in the resistivity (T ) at a
temperature in good agreement with theoretical predictions. Moreover, we
observe remanence effects at very weak magnetic fields for the resistivity
below the freezing temperature Tsg: upon Field Cooling (fc), we observe clear
deviations of (T ) as compared with the Zero Field Cooling (zfc); such
deviations appear even for very small magnetic fields, typically in the Gauss
range. This onset of remanence for very weak magnetic fields is reminiscent of
the typical signature on magnetic susceptibility measurements of the spin glass
transition for this generic glassy system
Eikonal Particle Scattering and Dilaton Gravity
Approximating light charged point-like particles in terms of (nonextremal)
dilatonic black holes is shown to lead to certain pathologies in Planckian
scattering in the eikonal approximation, which are traced to the presence of a
(naked) curvature singularity in the metric of these black holes. The existence
of such pathologies is confirmed by analyzing the problem in an `external
metric' formulation where an ultrarelativistic point particle scatters off a
dilatonic black hole geometry at large impact parameters. The maladies
disappear almost trivially upon imposing the extremal limit. Attempts to derive
an effective three dimensional `boundary' field theory in the eikonal limit are
stymied by four dimensional (bulk) terms proportional to the light-cone
derivatives of the dilaton field, leading to nontrivial mixing of
electromagnetic and gravitational effects, in contrast to the case of general
relativity. An eikonal scattering amplitude, showing decoupling of these
effects, is shown to be derivable by resummation of graviton, dilaton and
photon exchange ladder diagrams in a linearized version of the theory, for an
asymptotic value of the dilaton field which makes the string coupling constant
non-perturbative.Comment: 22 pages, Revte
Longitudinal spin waves in a dilute Bose gas
We present a kinetic theory for a dilute noncondensed Bose gas of two-level
atoms that predicts the transient spin segregation observed in a recent
experiment. The underlying mechanism driving spin currents in the gas is due to
a mean field effect arising from the quantum interference between the direct
and exchange scattering of atoms in different spin states. We numerically solve
the spin Boltzmann equation, using a one dimensional model, and find excellent
agreement with experimental data.Comment: 4.5 pages, 3 embedded color figure
Relativity principles in 1+1 dimensions and differential aging reversal
We study the behavior of clocks in 1+1 spacetime assuming the relativity
principle, the principle of constancy of the speed of light and the clock
hypothesis. These requirements are satisfied by a class of Finslerian theories
parametrized by a real coefficient , special relativity being recovered
for . The effect of differential aging is studied for the different
values of . Below the critical values the differential
aging has the usual direction - after a round trip the accelerated observer
returns younger than the twin at rest in the inertial frame - while above the
critical values the differential aging changes sign. The non-relativistic case
is treated by introducing a formal analogy with thermodynamics.Comment: 12 pages, no figures. Previous title "Parity violating terms in
clocks' behavior and differential aging reversal". v2: shortened
introduction, some sections removed, pointed out the relation with Finsler
metrics. Submitted to Found. Phys. Let
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