47,829 research outputs found
Efficient -separability criteria for mixed multipartite quantum states
We investigate classification and detection of entanglement of multipartite
quantum states in a very general setting, and obtain efficient -separability
criteria for mixed multipartite states in arbitrary dimensional quantum
systems. These criteria can be used to distinguish different classes of
multipartite inseparable states and can detect many important multipartite
entangled states such as GHZ states, W states, anti W states, and mixtures
thereof. They detect -nonseparable -partite quantum states which have
previously not been identified. Here . No optimization or
eigenvalue evaluation is needed, and our criteria can be evaluated by simple
computations involving components of the density matrix. Most importantly, they
can be implemented in today's experiments by using at most
local measurements.Comment: 6 pages, 4 figure
Optimal design of nonuniform FIR transmultiplexer using semi-infinite programming
This paper considers an optimum nonuniform FIR transmultiplexer design problem subject to specifications in the frequency domain. Our objective is to minimize the sum of the ripple energy for all the individual filters, subject to the specifications on amplitude and aliasing distortions, and to the passband and stopband specifications for the individual filters. This optimum nonuniform transmultiplexer design problem can be formulated as a quadratic semi-infinite programming problem. The dual parametrization algorithm is extended to this nonuniform transmultiplexer design problem. If the lengths of the filters are sufficiently long and the set of decimation integers is compatible, then a solution exists. Since the problem is formulated as a convex problem, if a solution exists, then the solution obtained is unique and the local solution is a global minimum
Ultrafast dynamics of a magnetic antivortex - Micromagnetic simulations
The antivortex is a fundamental magnetization structure which is the
topological counterpart of the well-known magnetic vortex. We study here the
ultrafast dynamic behavior of an isolated antivortex in a patterned Permalloy
thin-film element. Using micromagnetic simulations we predict that the
antivortex response to an ultrashort external field pulse is characterized by
the production of a new antivortex as well as of a temporary vortex, followed
by an annihilation process. These processes are complementary to the recently
reported response of a vortex and, like for the vortex, lead to the reversal of
the orientation of the antivortex core region. In addition to its fundamental
interest, this dynamic magnetization process could be used for the generation
and propagation of spin waves for novel logical circuits.Comment: 4 pages, 4 figures. To be published in Physical Review B (R
Evidence for (and Against) Progenitor Bias in the Size Growth of Compact Red Galaxies
Most massive passive galaxies are compact at high redshifts, but similarly
compact massive galaxies are rare in the local universe. The most common
interpretation of this phenomenon is that massive galaxies have grown in size
by a factor of about five since redshift z=2. An alternative explanation is
that recently quenched massive galaxies are larger (a "progenitor bias"). In
this paper we explore the importance of progenitor bias by looking for
systematic differences in the stellar populations of compact early-type
galaxies in the DEEP2 survey as a function of size. Our analysis is based on
applying the statistical technique of bootstrap resampling to constrain
differences in the median ages of our samples and to begin to characterize the
distribution of stellar populations in our co-added spectra. The light-weighted
ages of compact early-type galaxies at redshifts 0.5 < z < 1.4 are compared to
those of a control sample of larger galaxies at similar redshifts. We find that
massive compact early-type galaxies selected on the basis of red color and high
bulge-to-total ratio are younger than similarly selected larger galaxies,
suggesting that size growth in these objects is not driven mainly by progenitor
bias, and that individual galaxies grow as their stellar populations age.
However, compact early-type galaxies selected on the basis of image smoothness
and high bulge-to-total ratio are older than a control sample of larger
galaxies. Progenitor bias will play a significant role in defining the apparent
size changes of early-type galaxies if they are selected on the basis of the
smoothness of their light distributions.Comment: 39 pages, 10 figures. Astrophysical Journal (in press
A Consistent Calculation of Heavy Meson Decay Constants and Transition Wave Functions in the Complete HQEFT
Within the complete heavy quark effective field theory (HQEFT), the QCD sum
rule approach is used to evaluate the decay constants including 1/m_Q
corrections and the Isgur-Wise function and other additional important wave
functions concerned at 1/m_Q for the heavy-light mesons. The 1/m_Q corrections
to the scaling law f_M \sim F/\sqrt{m_M} are found to be small in HQEFT, which
demonstrates again the validity of 1/m_Q expansion in HQEFT. It is also shown
that the residual momentum v.k of heavy quark within hadrons does be around the
binding energy \bar{\Lambda} of the heavy hadrons. The calculations presented
in this paper provide a consistent check on the HQEFT and shows that the HQEFT
is more reliable than the usual HQET for describing a slightly off-mass shell
heavy quark within hadron as the usual HQET seems to lead to the breakdown of
1/m_Q expansion in evaluating the meson decay constants. It is emphasized that
the introduction of the `dressed heavy quark' mass is useful for the
heavy-light mesons (Qq) with m_Q >> \bar{\Lambda} >> m_q, while for heavy-heavy
bound states (\psi_1\psi_2) with masses m_1, m_2 >> \bar{\Lambda}, like
bottom-charm hadrons or similarly for muonium in QED, one needs to treat both
particles as heavy effective particles via 1/m_1 and 1/m_2 expansions and
redefine the effective bound states and modified `dressed heavy quark' masses
within the HQEFT.Comment: 20 pages, revtex, 22 figures, axodraw.sty, two irrelevant figures are
moved awa
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