3,804 research outputs found
Creation and localization of entanglement in a simple configuration of coupled harmonic oscillators
We investigate a simple arrangement of coupled harmonic oscillators which
brings out some interesting effects concerning creation of entanglement. It is
well known that if each member in a linear chain of coupled harmonic
oscillators is prepared in a ``classical state'', such as a pure coherent state
or a mixed thermal state, no entanglement is created in the rotating wave
approximation. On the other hand, if one of the oscillators is prepared in a
nonclassical state (pure squeezed state, for instance), entanglement may be
created between members of the chain. In the setup considered here, we found
that a great family of nonclassical (squeezed) states can localize entanglement
in such a way that distant oscillators never become entangled. We present a
detailed study of this particular localization phenomenon. Our results may find
application in future solid state implementations of quantum computers, and we
suggest an electromechanical system consisting of an array of coupled
micromechanical oscillators as a possible implementation.Comment: 7 pages, 8 figures, minor typos fixe
Spectral Triples on Thermodynamic Formalism and Dixmier Trace Representations of Gibbs: theory and examples
In this paper we construct spectral triples on the symbolic space
when the alphabet is finite. We describe some new results for the associated
Dixmier trace representations for Gibbs probabilities (for potentials with less
regularity than H\"older) and for a certain class of functions. The Dixmier
trace representation can be expressed as the limit of a certain zeta function
obtained from high order iterations of the Ruelle operator. Among other things
we consider a class of examples where we can exhibit the explicit expression
for the zeta function. We are also able to apply our reasoning for some
parameters of the Dyson model (a potential on the symbolic space
) and for a certain class of observables. Nice results by
R. Sharp, M.~Kesseb\"ohmer and T.~Samuel for Dixmier trace representations of
Gibbs probabilities considered the case where the potential is of H\"older
class. We also analyze a particular case of a pathological continuous potential
where the Dixmier trace representation - via the associated zeta function - is
not true.Comment: the tile was modified and there are two more author
Mitochondrial behaviour throughout the lytic cycle of Toxoplasma gondii
Mitochondria distribution in cells controls cellular physiology in health and disease. Here we describe the mitochondrial morphology and positioning found in the different stages of the lytic cycle of the eukaryotic single-cell parasite Toxoplasma gondii. The lytic cycle, driven by the tachyzoite life stage, is responsible for acute toxoplasmosis. It is known that whilst inside a host cell the tachyzoite maintains its single mitochondrion at its periphery. We found that upon parasite transition from the host cell to the extracellular matrix, mitochondrion morphology radically changes, resulting in a reduction in peripheral proximity. This change is reversible upon return to the host, indicating that an active mechanism maintains the peripheral positioning found in the intracellular stages. Comparison between the two states by electron microscopy identified regions of coupling between the mitochondrion outer membrane and the parasite pellicle, whose features suggest the presence of membrane contact sites, and whose abundance changes during the transition between intra- and extra-cellular states. These novel observations pave the way for future research to identify molecular mechanisms involved in mitochondrial distribution in Toxoplasma and the consequences of these mitochondrion changes on parasite physiology
Interior penalty discontinuous Galerkin FEM for the -Laplacian
In this paper we construct an "Interior Penalty" Discontinuous Galerkin
method to approximate the minimizer of a variational problem related to the
Laplacian. The function is log H\"{o}lder
continuous and . We prove that the minimizers of the
discrete functional converge to the solution. We also make some numerical
experiments in dimension one to compare this method with the Conforming
Galerkin Method, in the case where is close to one. This example is
motivated by its applications to image processing.Comment: 26 pages, 2 figure
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