32,773 research outputs found
Stable gauged maps
We give an introduction to moduli stacks of gauged maps satisfying a
stability conditition introduced by Mundet and Schmitt, and the associated
integrals giving rise to gauged Gromov-Witten invariants. We survey various
applications to cohomological and K-theoretic Gromov-Witten invariants.Comment: Survey for the 2015 AMS Summer Institute on Algebraic Geometry. Split
off from the more technical paper "Properness for scaled gauged maps"
[arXiv:1606.01383]. There is still substantial overlap between the two
papers. This version has minor correction
Evidence of several dipolar quasi-invariants in Liquid Crystals
In a closed quantum system of N coupled spins with magnetic quantum number I,
there are about (2I + 1)^N constants of motion. However, the possibility of
observing such quasi-invariant (QI) states in solid-like spin systems in
Nuclear Magnetic Resonance (NMR) is not a strictly exact prediction. The aim of
this work is to provide experimental evidence of several QI, in the proton NMR
of small spin clusters, besides those already known Zeeman, and dipolar orders
(strong and weak). We explore the spin states prepared with the
Jeener-Broekaert pulse sequence by analyzing the time-domain signals yielded by
this sequence as a function of the preparation times, in a variety of dipolar
networks. We observe that the signals can be explained with two dipolar QIs
only within a range of short preparation times. At longer times the time-domain
signals have an echo-like behaviour. We study their multiple quantum coherence
content on a basis orthogonal to the z-basis and see that such states involve a
significant number of correlated spins. Then we show that the whole preparation
time-scale can only be reconstructed by assuming the occurrence of multiple QI
which we isolate experimentally
Shot-noise anomalies in nondegenerate elastic diffusive conductors
We present a theoretical investigation of shot-noise properties in
nondegenerate elastic diffusive conductors. Both Monte Carlo simulations and
analytical approaches are used. Two new phenomena are found: (i) the display of
enhanced shot noise for given energy dependences of the scattering time, and
(ii) the recovery of full shot noise for asymptotic high applied bias. The
first phenomenon is associated with the onset of negative differential
conductivity in energy space that drives the system towards a dynamical
electrical instability in excellent agreement with analytical predictions. The
enhancement is found to be strongly amplified when the dimensionality in
momentum space is lowered from 3 to 2 dimensions. The second phenomenon is due
to the suppression of the effects of long range Coulomb correlations that takes
place when the transit time becomes the shortest time scale in the system, and
is common to both elastic and inelastic nondegenerate diffusive conductors.
These phenomena shed new light in the understanding of the anomalous behavior
of shot noise in mesoscopic conductors, which is a signature of correlations
among different current pulses.Comment: 9 pages, 6 figures. Final version to appear in Phys. Rev.
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