28,538 research outputs found
Quaternions, octonions and Bell-type inequalities
Multipartite Bell-type inequalities are derived for general systems. They
involve up to eight observables with arbitrary spectra on each site. These
inequalities are closely related to the algebras of quaternions and octonions.Comment: 4 pages, no figure
How ripples turn into dots: modeling ion-beam erosion under oblique incidence
Pattern formation on semiconductor surfaces induced by low energetic ion-beam
erosion under normal and oblique incidence is theoretically investigated using
a continuum model in form of a stochastic, nonlocal, anisotropic
Kuramoto-Sivashinsky equation. Depending on the size of the parameters this
model exhibits hexagonally ordered dot, ripple, less regular and even rather
smooth patterns. We investigate the transitional behavior between such states
and suggest how transitions can be experimentally detected.Comment: 11 pages, 4 figures, submitted for publication, revised versio
Effects of stellar outflows on interstellar sulfur oxide chemistry
Interferometer Maps with 2" to 6" resolution of a number of regions with active star formation (Orion A, W49, W51, SGRB2) show that the distribution of the molecule SO is very compact around stellar outflow sources. Both SO and SO2 were studied near three outflows, OrionA/IRc2 and two sources in W49. The two molecules have similar distributions and abundances. More than 95% of the emission comes from regions whose extents are only .05 to .2 pc., being larger around the more energetic sources. Their spectra are broad, 30 km/sec or more, suggesting that the oxide production is associated with the flows. The outflows are identified by water masers and by extended bipolar flows in SiO. Maps in other molecules, such as HCO+ and CS, which have similar collisional excitation requirements, have much greater spatial extent. Thus it appears that the SO and SO2 abundances are truly compact and are closely associated with the outflows
Raman-assisted Rabi resonances in two-mode cavity QED
The dynamics of a vibronic system in a lossy two-mode cavity is studied, with
the first mode being resonant to the electronic transition and the second one
being nearly resonant due to Raman transitions. We derive analytical solutions
for the dynamics of this system. For a properly chosen detuning of the second
mode from the exact Raman resonance, we obtain conditions that are closely
related to the phenomenon of Rabi resonance as it is well known in laser
physics. Such resonances can be observed in the spontaneous emission spectra,
where the spectrum of the second mode in the case of weak Raman coupling is
enhanced substantially.Comment: 6 pages, 5 figure
Representation of entanglement by negative quasi-probabilities
Any bipartite quantum state has quasi-probability representations in terms of
separable states. For entangled states these quasi-probabilities necessarily
exhibit negativities. Based on the general structure of composite quantum
states, one may reconstruct such quasi-propabilities from experimental data.
Because of ambiguity, the quasi-probabilities obtained by the bare
reconstruction are insufficient to identify entanglement. An optimization
procedure is introduced to derive quasi-probabilities with a minimal amount of
negativity. Negativities of optimized quasi-probabilities unambiguously prove
entanglement, their positivity proves separability.Comment: 9 pages, 2 figures; An optimization procedure for the
quasi-probabilities has been adde
Radio Observations of the AGN and Gas in Low Surface Brightness Galaxies
LSB galaxies have low metallicities, diffuse stellar disks, and massive HI
disks. We have detected molecular gas in two giant LSB galaxies, UGC 6614 and
F568-6. A millimeter continuum source has been detected in UGC 6614 as well. At
centimeter wavelengths we have detected and mapped the continuum emission from
the giant LSB galaxy 1300+0144. The emission is extended about the nucleus and
is most likely originating from the AGN in the galaxy. The HI gas distribution
and velocity field in 1300+0144 was also mapped. The HI disk extends well
beyond the optical disk and appears lopsided in the intensity maps.Comment: one page; submitted to proceedings of IAU Symposium 235: Galaxy
Evolution across the Hubble Tim
True photo-counting statistics of multiple on-off detectors
We derive a closed photo-counting formula, including noise counts and a
finite quantum efficiency, for photon number resolving detectors based on
on-off detectors. It applies to detection schemes such as array detectors and
multiplexing setups. The result renders it possible to compare the
corresponding measured counting statistics with the true photon number
statistics of arbitrary quantum states. The photo-counting formula is applied
to the discrimination of photon numbers of Fock states, squeezed states, and
odd coherent states. It is illustrated for coherent states that our formula is
indispensable for the correct interpretation of quantum effects observed with
such devices.Comment: 7 pages, 4 figure
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