22,890 research outputs found
Non-self-adjoint resolutions of the identity and associated operators
Closed operators in Hilbert space defined by a non-self-adjoint resolution of
the identity \{X(\lambda)\}_{\lambda\in {\mb R}}, whose adjoints constitute
also a resolution of the identity, are studied . In particular, it is shown
that a closed operator has a spectral representation analogous to the
familiar one for self-adjoint operators if and only if where
is self-adjoint and is a bounded operator with bounded inverse
Pattern-recalling processes in quantum Hopfield networks far from saturation
As a mathematical model of associative memories, the Hopfield model was now
well-established and a lot of studies to reveal the pattern-recalling process
have been done from various different approaches. As well-known, a single
neuron is itself an uncertain, noisy unit with a finite unnegligible error in
the input-output relation. To model the situation artificially, a kind of 'heat
bath' that surrounds neurons is introduced. The heat bath, which is a source of
noise, is specified by the 'temperature'. Several studies concerning the
pattern-recalling processes of the Hopfield model governed by the
Glauber-dynamics at finite temperature were already reported. However, we might
extend the 'thermal noise' to the quantum-mechanical variant. In this paper, in
terms of the stochastic process of quantum-mechanical Markov chain Monte Carlo
method (the quantum MCMC), we analytically derive macroscopically deterministic
equations of order parameters such as 'overlap' in a quantum-mechanical variant
of the Hopfield neural networks (let us call "quantum Hopfield model" or
"quantum Hopfield networks"). For the case in which non-extensive number of
patterns are embedded via asymmetric Hebbian connections, namely,
for the number of neuron ('far from saturation'), we evaluate
the recalling processes for one of the built-in patterns under the influence of
quantum-mechanical noise.Comment: 10 pages, 3 figures, using jpconf.cls, Proc. of Statphys-Kolkata VI
Neutrino emission from BL Lac objects: the role of radiatively inefficient accretion flows
The origin of the astrophysical high-energy neutrinos discovered by IceCube
is currently a major mystery. The recent detection of IceCube-170922A, a
300 TeV neutrino potentially correlated with the flaring -ray
source TXS 0506+056, directs attention toward BL Lac objects (BL Lacs), the
subclass of blazars with weak emission lines. While high-energy neutrinos can
be produced via photohadronic interactions between protons accelerated in their
jets and ambient low-energy photons, the density of the latter in such objects
had generally been thought to be too low for efficient neutrino emission. Here
we consider the role of radiatively inefficient accretion flows (RIAFs), which
can plausibly exist in the nuclei of BL Lacs, as the source of target photons
for neutrino production. Based on simple model prescriptions for the spectra of
RIAFs at different accretion rates, we find that they can be sufficienly
intense to allow appreciable neutrino emission for the class of
low-synchrotron-peak BL Lacs such as TXS 0506+056. In constrast, for
high-synchrotron-peak BL Lacs including Mkn 421 and Mkn 501, the contribution
of RIAFs is subdominant and their neutrino production efficiency can remain
low, consistent with their non-detection by IceCube to date.Comment: 5 pages, 4 figures, accepted to MNRAS as Lette
Quantum secret sharing based on modulated high-dimensional time-bin entanglement
We propose a new scheme for quantum secret sharing (QSS) that uses a
modulated high-dimensional time-bin entanglement. By modulating the relative
phase randomly by {0,pi}, a sender with the entanglement source can randomly
change the sign of the correlation of the measurement outcomes obtained by two
distant recipients. The two recipients must cooperate if they are to obtain the
sign of the correlation, which is used as a secret key. We show that our scheme
is secure against intercept-and-resend (I-R) and beam splitting attacks by an
outside eavesdropper thanks to the non-orthogonality of high-dimensional
time-bin entangled states. We also show that a cheating attempt based on an I-R
attack by one of the recipients can be detected by changing the dimension of
the time bin entanglement randomly and inserting two "vacant" slots between the
packets. Then, cheating attempts can be detected by monitoring the count rate
in the vacant slots. The proposed scheme has better experimental feasibility
than previously proposed entanglement-based QSS schemes.Comment: To appear in Phys. Rev.
Doubly magic nuclei from Lattice QCD forces at 469 MeV/c
We perform ab initio self-consistent Green's function calculations of the
closed shell nuclei He, O and Ca, based on
two-nucleon potentials derived from Lattice QCD simulations, in the flavor
SU(3) limit and at the pseudo-scalar meson mass of 469~MeV/c. The
nucleon-nucleon interaction is obtained using the HAL QCD method and its
short-distance repulsion is treated by means of ladder resummations outside the
model space. Our results show that this approach diagonalises ultraviolet
degrees of freedom correctly. Therefore, ground state energies can be obtained
from infrared extrapolations even for the relatively hard potentials of HAL
QCD. Comparing to previous Brueckner Hartree-Fock calculations, the total
binding energies are sensibly improved by the full account of many-body
correlations. The results suggest an interesting possible behaviour in which
nuclei are unbound at very large pion masses and islands of stability appear at
first around the traditional doubly-magic numbers when the pion mass is lowered
toward its physical value. The calculated one-nucleon spectral distributions
are qualitatively close to those of real nuclei even for the pseudo-scalar
meson mass considered here.Comment: 7 pages, 4 figures, RIKEN-QHP-286, RIKEN-iTHEMS-Report-1
Variation of the broad X-ray iron line in MCG-6-30-15 during a flare
We report results on the broad iron emission line of the Seyfert galaxy
MCG-6-30-15, obtained from the second long ASCA observation in 1997. The
time-averaged profile of the broad line is very similar to that seen with ASCA
in 1994, so confirming the detailed model fit then obtained. A bright flare is
seen in the light curve, during which the continuum was soft. At that time the
emission line peaks around 5 keV and most of its emission is shifted below 6
keV with no component detected at 6.4 keV (EW<60 eV). This can be interpreted
as the result of an extraordinarily large gravitational redshift due to a
dominant flare occurring very close to the black hole at a radius of <5m.Comment: 5 pages, accepted or publication in MNRAS Letter
Charmless decays and new physics effects in the mSUGRA model
By employing the QCD factorization approach, we calculate the new physics
contributions to the branching radios of the two-body charmless and
decays in the framework of the minimal supergravity (mSUGRA) model.
we choose three typical sets of the mSUGRA input parameters in which the Wilson
coefficient can be either SM-like (the case A and C) or has
a flipped-sign (the case B). We found numerically that (a) the SUSY
contributions are always very small for both case A and C; (b) for those
tree-dominated decays, the SUSY contributions in case B are also very small;
(c) for those QCD penguin-dominated decay modes, the SUSY contributions in case
B can be significant, and can provide an enhancement about to
the branching ratios of and decays, but a
reduction about to decays; and (d) the
large SUSY contributions in the case B may be masked by the large theoretical
errors dominated by the uncertainty from our ignorance of calculating the
annihilation contributions in the QCD factorization approach.Comment: 34 pages, 8 PS figures, this is the correct version
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