30,513 research outputs found
On Chow Stability for algebraic curves
In the last decades there have been introduced different concepts of
stability for projective varieties. In this paper we give a natural and
intrinsic criterion of the Chow, and Hilbert, stability for complex irreducible
smooth projective curves .
Namely, if the restriction of the tangent bundle of
to is stable then is Chow stable,
and hence Hilbert stable. We apply this criterion to describe a smooth open set
of the irreducible component of the Hilbert scheme of
containing the generic smooth Chow-stable curve of genus
and degree Moreover, we
describe the quotient stack of such curves. Similar results are obtained for
the locus of Hilbert stable curves.Comment: Minor corrections and improvements to presentation. We add Theorem
4.
Antiresonances as precursors of decoherence
We show that, in presence of a complex spectrum, antiresonances act as a
precursor for dephasing enabling the crossover to a fully decoherent transport
even within a unitary Hamiltonian description. This general scenario is
illustrated here by focusing on a quantum dot coupled to a chaotic cavity
containing a finite, but large, number of states using a Hamiltonian
formulation. For weak coupling to a chaotic cavity with a sufficiently dense
spectrum, the ensuing complex structure of resonances and antiresonances leads
to phase randomization under coarse graining in energy. Such phase
instabilities and coarse graining are the ingredients for a mechanism producing
decoherence and thus irreversibility. For the present simple model one finds a
conductance that coincides with the one obtained by adding a ficticious voltage
probe within the Landauer-Buettiker picture. This sheds new light on how the
microscopic mechanisms that produce phase fluctuations induce decoherence.Comment: 7 pages, 2 figures, to appear in Europhys. Let
Enhancing single-parameter quantum charge pumping in carbon-based devices
We present a theoretical study of quantum charge pumping with a single ac
gate applied to graphene nanoribbons and carbon nanotubes operating with low
resistance contacts. By combining Floquet theory with Green's function
formalism, we show that the pumped current can be tuned and enhanced by up to
two orders of magnitude by an appropriate choice of device length, gate voltage
intensity and driving frequency and amplitude. These results offer a promising
alternative for enhancing the pumped currents in these carbon-based devices.Comment: 3.5 pages, 2 figure
Two Distinct, Geographically Overlapping Lineages of the Corallimorpharian Ricordea Florida (Cnidaria: Hexacorallia: Ricordeidae)
We examined the genetic variation of the corallimorpharian Ricordea florida; it is distributed throughout the Caribbean region and is heavily harvested for the marine aquarium trade. Eighty-four distinct individuals of R. florida were sequenced from four geographically distant Caribbean locations (Curaçao, Florida, Guadeloupe, and Puerto Rico). Analysis of the ribosomal nuclear region (ITS1, 5.8S, ITS2) uncovered two geographically partially overlapping genetic lineages in R. florida, probably representing two cryptic species. Lineage 1 was found in Florida and Puerto Rico, and Lineage 2 was found in Florida, Puerto Rico, Guadeloupe, and Curaçao. Because of the multi-allelic nature of the ITS region, four individuals from Lineage 1 and six from Lineage 2 were cloned to evaluate the levels of hidden intra-individual variability. Pairwise genetic comparisons indicated that the levels of intra-individual and intra-lineage variability (\u3c1%) were approximately an order of magnitude lower than the divergence (~9%) observed between the two lineages. The fishery regulations of the aquarium trade regard R. florida as one species. More refined regulations should take into account the presence of two genetic lineages, and they should be managed separately in order to preserve the long-term evolutionary potential of this corallimorpharian. The discovery of two distinct lineages in R. florida illustrates the importance of evaluating genetic variability in harvested species prior to the implementation of management policies
Two interacting atoms in a cavity: exact solutions, entanglement and decoherence
We address the problem of two interacting atoms of different species inside a
cavity and find the explicit solutions of the corresponding eigenvalues and
eigenfunctions using a new invariant. This model encompasses various commonly
used models. By way of example we obtain closed expressions for concurrence and
purity as a function of time for the case where the cavity is prepared in a
number state. We discuss the behaviour of these quantities and and their
relative behaviour in the concurrence-purity plane.Comment: 10 pages, 3 figure
Floquet interface states in illuminated three-dimensional topological insulators
Recent experiments showed that the surface of a three dimensional topological
insulator develops gaps in the Floquet-Bloch band spectrum when illuminated
with a circularly polarized laser. These Floquet-Bloch bands are characterized
by non-trivial Chern numbers which only depend on the helicity of the
polarization of the radiation field. Here we propose a setup consisting of a
pair of counter-rotating lasers, and show that one-dimensional chiral states
emerge at the interface between the two lasers. These interface states turn out
to be spin-polarized and may trigger interesting applications in the field of
optoelectronics and spintronics.Comment: 5 pages with 3 figures + supplemental materia
Heavy flavor in relativistic heavy-ion collisions
We study charm production in ultra-relativistic heavy-ion collisions by using
the Parton-Hadron-String Dynamics (PHSD) transport approach. The initial charm
quarks are produced by the PYTHIA event generator tuned to fit the transverse
momentum spectrum and rapidity distribution of charm quarks from Fixed-Order
Next-to-Leading Logarithm (FONLL) calculations. The produced charm quarks
scatter in the quark-gluon plasma (QGP) with the off-shell partons whose masses
and widths are given by the Dynamical Quasi-Particle Model (DQPM), which
reproduces the lattice QCD equation-of-state in thermal equilibrium. The
relevant cross sections are calculated in a consistent way by employing the
effective propagators and couplings from the DQPM. Close to the critical energy
density of the phase transition, the charm quarks are hadronized into
mesons through coalescence and/or fragmentation. The hadronized mesons then
interact with the various hadrons in the hadronic phase with cross sections
calculated in an effective lagrangian approach with heavy-quark spin symmetry.
The nuclear modification factor and the elliptic flow of
mesons from PHSD are compared with the experimental data from the STAR
Collaboration for Au+Au collisions at =200 GeV and to the ALICE
data for Pb+Pb collisions at =2.76 TeV. We find that in the
PHSD the energy loss of mesons at high can be dominantly attributed
to partonic scattering while the actual shape of versus reflects
the heavy-quark hadronization scenario, i.e. coalescence versus fragmentation.
Also the hadronic rescattering is important for the at low and
enhances the -meson elliptic flow .Comment: 8 pages, 3 figures, to be published in the Proceedings of the 15th
International Conference on Strangeness in Quark Matter (SQM2015), 6-11 July
2015, JINR, Dubna, Russi
Tuning laser-induced bandgaps in graphene
Could a laser field lead to the much sought-after tunable bandgaps in
graphene? By using Floquet theory combined with Green's functions techniques,
we predict that a laser field in the mid-infrared range can produce observable
bandgaps in the electronic structure of graphene. Furthermore, we show how they
can be tuned by using the laser polarization. Our results could serve as a
guidance to design opto-electronic nano-devices.Comment: 4 pages, 3 figures, to appear in Applied Physics Letter
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