300,779 research outputs found
Twist-3 Contributions in Semi-Inclusive DIS with Transversely Polarized Target
We study semi-inclusive DIS with a transversely polarized target in the
approach of collinear factorization. The effects related with the transverse
polarization are at twist-3. We derive the complete result of twist-3
contributions to the relevant hadronic tensor at leading order of ,
and construct correspondingly experimental observables. Measuring these
observables will help to extract the twist-2 transversity distribution, twist-3
distributions and twist-3 fragmentation functions of the produced unpolarized
hadron. A detailed comparison with the approach of
transverse-momentum-dependent factorization is made.Comment: discussions and references are added. Published version in PL
Inference and learning in sparse systems with multiple states
We discuss how inference can be performed when data are sampled from the
non-ergodic phase of systems with multiple attractors. We take as model system
the finite connectivity Hopfield model in the memory phase and suggest a cavity
method approach to reconstruct the couplings when the data are separately
sampled from few attractor states. We also show how the inference results can
be converted into a learning protocol for neural networks in which patterns are
presented through weak external fields. The protocol is simple and fully local,
and is able to store patterns with a finite overlap with the input patterns
without ever reaching a spin glass phase where all memories are lost.Comment: 15 pages, 10 figures, to be published in Phys. Rev.
Flexible scheme to truncate the hierarchy of pure states
The hierarchy of pure states (HOPS) is a wavefunction-based method which can
be used for numerically modeling open quantum systems. Formally, HOPS recovers
the exact system dynamics for an infinite depth of the hierarchy. However,
truncation of the hierarchy is required to numerically implement HOPS. We want
to choose a 'good' truncation method, where by 'good' we mean that it is
numerically feasible to check convergence of the results. For the truncation
approximation used in previous applications of HOPS, convergence checks are
numerically challenging. In this work we demonstrate the application of the
'-particle approximation' (PA) to HOPS. We also introduce a new
approximation, which we call the '-mode approximation' (MA). We then
explore the convergence of these truncation approximations with respect to the
number of equations required in the hierarchy. We show that truncation
approximations can be used in combination to achieve convergence in two
exemplary problems: absorption and energy transfer of molecular aggregates.Comment: 8 pages, 3 figure
Wigner-Souriau translations and Lorentz symmetry of chiral fermions
Chiral fermions can be embedded into Souriau's massless spinning particle
model by "enslaving" the spin, viewed as a gauge constraint. The latter is not
invariant under Lorentz boosts; spin enslavement can be restored, however, by a
subsequent Wigner-Souriau (WS) translation, analogous to a compensating gauge
transformation. The combined transformation is precisely the recently uncovered
twisted boost, which we now extend to finite transformations. WS-translations
are identified with the stability group of a motion acting on the right on the
Poincare group, whereas the natural Poincare action corresponds to action on
the left. The relation to non-commutative mechanics is explained.Comment: v3: a new Section explaining the relation to non-commutativity is
added. 14 pages, 2 figure
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