5,769 research outputs found
Separability Criteria and Entanglement Measures for Pure States of N Identical Fermions
The study of the entanglement properties of systems of N fermions has
attracted considerable interest during the last few years. Various separability
criteria for pure states of N identical fermions have been recently discussed
but, excepting the case of two-fermions systems, these criteria are difficult
to implement and of limited value from the practical point of view. Here we
advance simple necessary and sufficient separability criteria for pure states
of N identical fermions. We found that to be identified as separable a state
has to comply with one single identity involving either the purity or the von
Neumann entropy of the single-particle reduced density matrix. These criteria,
based on the verification of only one identity, are drastically simpler than
the criteria discussed in the recent literature. We also derive two
inequalities verified respectively by the purity and the entropy of the single
particle, reduced density matrix, that lead to natural entanglement measures
for N-fermion pure states. Our present considerations are related to some
classical results from the Hartree-Fock theory, which are here discussed from a
different point of view in order to clarify some important points concerning
the separability of fermionic pure states.Comment: 6 pages, 0 figure
Complexity analysis of Klein-Gordon single-particle systems
The Fisher-Shannon complexity is used to quantitatively estimate the
contribution of relativistic effects to on the internal disorder of
Klein-Gordon single-particle Coulomb systems which is manifest in the rich
variety of three-dimensional geometries of its corresponding quantum-mechanical
probability density. It is observed that, contrary to the non-relativistic
case, the Fisher-Shannon complexity of these relativistic systems does depend
on the potential strength (nuclear charge). This is numerically illustrated for
pionic atoms. Moreover, its variation with the quantum numbers (n, l, m) is
analysed in various ground and excited states. It is found that the
relativistic effects enhance when n and/or l are decreasing.Comment: 4 pages, 3 figures, Accepted in EPL (Europhysics Letters
Exponential Temperature Dependence of Penetration Depth in Single Crystal MgB_2
The temperature dependence of the London penetration depth,lambda(T), was
measured in both single crystal and polycrystalline MgB_2 samples by a
high-resolution, radio frequency technique. A clear exponential temperature
dependence of lambda(T) was observed at low temperature, indicating s-wave
pairing. A BCS fit to the lowest temperature data gives an in-plane energy gap
Delta of 2.6\pm0.2 meV (2\Delta/T_c=1.5\pm0.1), which is significantly smaller
than the standard BCS weak coupling value of 3.5. We find that the data are
best described by a two-gap model.Comment: Minor corrections added, as per published articl
Information theory of quantum systems with some hydrogenic applications
The information-theoretic representation of quantum systems, which
complements the familiar energy description of the density-functional and
wave-function-based theories, is here discussed. According to it, the internal
disorder of the quantum-mechanical non-relativistic systems can be quantified
by various single (Fisher information, Shannon entropy) and composite (e.g.
Cramer-Rao, LMC shape and Fisher-Shannon complexity) functionals of the
Schr\"odinger probability density. First, we examine these concepts and its
application to quantum systems with central potentials. Then, we calculate
these measures for hydrogenic systems, emphasizing their predictive power for
various physical phenomena. Finally, some recent open problems are pointed out.Comment: 9 pages, 3 figure
Selenoxopropadienylidene (CCCSe) as a bridging ligand
The reaction of [W(≡CC≡CSiMe3)(CO)2(Tp*)] (Tp* = hydrotris(3,5-dimethylpyrazol-1-yl)borate) with [nBu4N]F and selenium in the presence of [RuCl(PPh3)2(η-C5H5)] affords a mixture of the tricarbido complex [WRu(μ-CCC)(CO)2(PPh3)2(η-C5H5)(Tp*)] and the selenoxopropadienylidene (C3Se) complex [WRu(μ-CCCSe)(CO)2(PPh3)2(η-C5H5)(Tp*)], both of which were structurally characterized. The formation of the bimetallic C3Se complex is consistent with the intermediacy of the salt [nBu4N] [W(≡CC≡CSe)(CO)2(Tp*)], which could be observed spectroscopically and computationally interrogated, but not yet isolated.This work was supported by the Australian Research Council (DP130102598 and DP110101611)
Pump-and-probe optical transmission phase shift as a quantitative probe of the Bogoliubov dispersion relation in a nonlinear channel waveguide
We theoretically investigate the dispersion relation of small-amplitude
optical waves superimposing upon a beam of polarized monochromatic light
propagating along a single-mode channel waveguide characterized by an
instantaneous and spatially local Kerr nonlinearity. These small luminous
fluctuations propagate along the waveguide as Bogoliubov elementary excitations
on top of a one-dimensional dilute Bose quantum fluid evolve in time. They
consequently display a strongly renormalized dispersion law, of Bogoliubov
type. Analytical and numerical results are found in both the absence and the
presence of one- and two-photon losses. Silicon and silicon-nitride waveguides
are used as examples. We finally propose an experiment to measure this
Bogoliubov dispersion relation, based on a stimulated four-wave mixing and
interference spectroscopy techniques.Comment: 17 pages, 7 figure
New hos-based parameter estimation methods for speech recognition in noisy environments
The problem of recognition in noisy environments is addressed. Often, a recognition system is used in a noisy environment and there is no possibility of training it with noisy samples. Classical speech analysis techniques are based on second-order statistics and their performance dramatically decreases when noise is present in the signal under analysis. New methods based on higher order statistics (HOS) are applied in a recognition system and compared against the autocorrelation method. Cumulant-based methods show better performance than autocorrelation-based methods for low SNRPeer ReviewedPostprint (published version
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