6,639 research outputs found
Entanglement Efficiencies in PT-Symmetric Quantum Mechanics
The degree of entanglement is determined for an arbitrary state of a broad
class of PT-symmetric bipartite composite systems. Subsequently we quantify the
rate with which entangled states are generated and show that this rate can be
characterized by a small set of parameters. These relations allow one in
principle to improve the ability of these systems to entangle states. It is
also noticed that many relations resemble corresponding ones in conventional
quantum mechanics.Comment: Published version with improved figures, 5 pages, 2 figure
The probability distribution of the conductance at the mobility edge
The probability distribution of the conductance p(g) of disordered 2d and 3d
systems is calculated by transfer matrix techniques. As expected, p(g) is
Gaussian for extended states while for localized states it is log-normal. We
find that at the mobility edge p(g) is highly asymmetric and universal.Comment: 3 pages RevTeX, 6 figures included, submitted to Physica
The Role of Gluons in Dilepton Production from the Quark-Gluon Plasma
We study high mass dilepton production from gluon-induced processes, , , and ,
in a thermally equilibrated but chemically under-saturated partonic matter that
is expected to be created in the initial stage of ultra-relativistic heavy ion
collisions. Regulating the divergence in these processes by the thermal quark
mass, we find that gluon-induced processes are more important than the
leading-order annihilation process as a result of the larger number
of gluons than quarks in the partonic matter. The dependence of the thermal
dilepton yield from the partonic stage of heavy ion collisions on the initial
conditions for the partonic matter is also studied. We further discuss the
feasibility of observing thermal dileptons from the quark-gluon plasma in heavy
ion experiments.Comment: 23 pages, revtex, 9 figures, added discussion on higher order effect
Critical points of Wang-Yau quasi-local energy
In this paper, we prove the following theorem regarding the Wang-Yau
quasi-local energy of a spacelike two-surface in a spacetime: Let be a
boundary component of some compact, time-symmetric, spacelike hypersurface
in a time-oriented spacetime satisfying the dominant energy
condition. Suppose the induced metric on has positive Gaussian
curvature and all boundary components of have positive mean curvature.
Suppose where is the mean curvature of in and
is the mean curvature of when isometrically embedded in .
If is not isometric to a domain in , then 1. the Brown-York mass
of in is a strict local minimum of the Wang-Yau quasi-local
energy of , 2. on a small perturbation of in
, there exists a critical point of the Wang-Yau quasi-local energy of
.Comment: substantially revised, main theorem replaced, Section 3 adde
Nitrogen fertilization improves quantity and quality of organic matter in a grassland soil
Non-Peer Reviewe
Symmetry, dimension and the distribution of the conductance at the mobility edge
The probability distribution of the conductance at the mobility edge,
, in different universality classes and dimensions is investigated
numerically for a variety of random systems. It is shown that is
universal for systems of given symmetry, dimensionality, and boundary
conditions. An analytical form of for small values of is discussed
and agreement with numerical data is observed. For , is
proportional to rather than .Comment: 4 pages REVTeX, 5 figures and 2 tables include
On geometric problems related to Brown-York and Liu-Yau quasilocal mass
We discuss some geometric problems related to the definitions of quasilocal
mass proposed by Brown-York \cite{BYmass1} \cite{BYmass2} and Liu-Yau
\cite{LY1} \cite{LY2}. Our discussion consists of three parts. In the first
part, we propose a new variational problem on compact manifolds with boundary,
which is motivated by the study of Brown-York mass. We prove that critical
points of this variation problem are exactly static metrics. In the second
part, we derive a derivative formula for the Brown-York mass of a smooth family
of closed 2 dimensional surfaces evolving in an ambient three dimensional
manifold. As an interesting by-product, we are able to write the ADM mass
\cite{ADM61} of an asymptotically flat 3-manifold as the sum of the Brown-York
mass of a coordinate sphere and an integral of the scalar curvature plus
a geometrically constructed function in the asymptotic region outside
. In the third part, we prove that for any closed, spacelike, 2-surface
in the Minkowski space for which the Liu-Yau mass is
defined, if bounds a compact spacelike hypersurface in ,
then the Liu-Yau mass of is strictly positive unless lies on
a hyperplane. We also show that the examples given by \'{O} Murchadha, Szabados
and Tod \cite{MST} are special cases of this result.Comment: 28 page
Supergravity Solutions for Harmonic, Static and Flux S-Branes
We seek S-brane solutions in D=11 supergravity which can be characterized by
a harmonic function H on the flat transverse space. It turns out that the
Einstein's equations force H to be a linear function of the transverse
coordinates. The codimension one H=0 hyperplane can be spacelike, timelike or
null and the spacelike case reduces to the previously obtained SM2 or SM5 brane
solutions. We then consider static S-brane configurations having smeared
timelike directions where the transverse Lorentzian symmetry group is broken
down to its maximal orthogonal subgroup. Assuming that the metric functions
depend on a radial spatial coordinate, we construct explicit solutions in D=11
supergravity which are non-supersymmetric and asymptotically flat. Finally, we
obtain spacelike fluxbrane backgrounds which have timelike electric or magnetic
fluxlines extending from past to future infinity.Comment: 22 pages, v2: references adde
The Percolation Signature of the Spin Glass Transition
Magnetic ordering at low temperature for Ising ferromagnets manifests itself
within the associated Fortuin-Kasteleyn (FK) random cluster representation as
the occurrence of a single positive density percolating network. In this paper
we investigate the percolation signature for Ising spin glass ordering -- both
in short-range (EA) and infinite-range (SK) models -- within a two-replica FK
representation and also within the different Chayes-Machta-Redner two-replica
graphical representation. Based on numerical studies of the EA model in
three dimensions and on rigorous results for the SK model, we conclude that the
spin glass transition corresponds to the appearance of {\it two} percolating
clusters of {\it unequal} densities.Comment: 13 pages, 6 figure
Morphological analysis on the coherence of kHz QPOs
We take the recently published data of twin kHz quasi-period oscillations
(QPOs) in neutron star (NS) lowmass X-ray binaries (LMXBs) as the samples, and
investigate the morphology of the samples, which focuses on the quality factor,
peak frequency of kHz QPOs, and try to infer their physical mechanism. We
notice that: (1) The quality factors of upper kHz QPOs are low (2 ~ 20 in
general) and increase with the kHz QPO peak frequencies for both Z and Atoll
sources. (2) The distribution of quality factor versus frequency for the lower
kHz QPOs are quite different between Z and Atoll sources. For most Z source
samples, the quality factors of lower kHz QPOs are low (usually lower than 15)
and rise steadily with the peak frequencies except for Sco X-1, which drop
abruptly at the frequency of about 750 Hz. While for most Atoll sources, the
quality factors of lower kHz QPOs are very high (from 2 to 200) and usually
have a rising part, a maximum and an abrupt drop. (3) There are three Atoll
sources (4U 1728-34, 4U 1636-53 and 4U 1608-52) of displaying very high quality
factors for lower kHz QPOs. These three sources have been detected with the
spin frequencies and sidebands, in which the source with higher spin frequency
presents higher quality factor of lower kHz QPOs and lower difference between
sideband frequency and lower kHz QPO frequency.Comment: 8 pages, 8 figures, publishe
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