34,389 research outputs found
Two interacting atoms in a cavity: exact solutions, entanglement and decoherence
We address the problem of two interacting atoms of different species inside a
cavity and find the explicit solutions of the corresponding eigenvalues and
eigenfunctions using a new invariant. This model encompasses various commonly
used models. By way of example we obtain closed expressions for concurrence and
purity as a function of time for the case where the cavity is prepared in a
number state. We discuss the behaviour of these quantities and and their
relative behaviour in the concurrence-purity plane.Comment: 10 pages, 3 figure
Canonically Transformed Detectors Applied to the Classical Inverse Scattering Problem
The concept of measurement in classical scattering is interpreted as an
overlap of a particle packet with some area in phase space that describes the
detector. Considering that usually we record the passage of particles at some
point in space, a common detector is described e.g. for one-dimensional systems
as a narrow strip in phase space. We generalize this concept allowing this
strip to be transformed by some, possibly non-linear, canonical transformation,
introducing thus a canonically transformed detector. We show such detectors to
be useful in the context of the inverse scattering problem in situations where
recently discovered scattering echoes could not be seen without their help.
More relevant applications in quantum systems are suggested.Comment: 8 pages, 15 figures. Better figures can be found in the original
article, wich can be found in
http://www.sm.luth.se/~norbert/home_journal/electronic/v12s1.html Related
movies can be found in www.cicc.unam.mx/~mau
Decoherence at constant excitation
We present a simple exactly solvable extension of of the Jaynes-Cummings
model by adding dissipation. This is done such that the total number of
excitations is conserved. The Liouville operator in the resulting master
equation can be reduced to blocks of matrices
Direct detection of exoplanet host star companion γ Cep B and revised masses for both stars and the sub-stellar object
Context. The star γ Cep is known as a single-lined spectroscopic triple system at a distance of 13.8 pc, composed of a K1 III-IV primary star with V = 3.2 mag, a stellar-mass companion in a 66-67 year orbit (Torres 2007, ApJ, 654, 1095), and a substellar companion with M_p sin i = 1.7 M_(Jup) that is most likely a planet (Hatzes et al. 2003, ApJ, 599, 1383).
Aims. We aim to obtain a first direct detection of the stellar companion, to determine its current orbital position (for comparison with the spectroscopic and astrometric data), its infrared magnitude and, hence, mass.
Methods. We use the Adaptive Optics camera CIAO at the Japanese 8 m telescope Subaru on Mauna Kea, Hawaii, with the semi-transparent coronograph to block most of the light from the bright primary γ Cep A, and to detect at the same time the faint companion B. In addition, we also used the IR camera Ω Cass at the Calar Alto 3.5 m telescope, Spain, to image γ Cep A and B by adding up many very short integrations (without AO).
Results. γ Cep B is clearly detected on our CIAO and Ω Cass images. We use a photometric standard star to determine the magnitude of B after PSF subtraction in the Subaru image, and the magnitude difference between A and B in the Calar Alto images, and find an average value of K = 7.3 ± 0.2 mag. The separations and position angles between A and B are measured on 15 July 2006 and 11 and 12 Sept. 2006, B is slightly south of west of A.
Conclusions. By combining the radial velocity, astrometric, and imaging data, we have refined the binary orbit and determined the dynamical masses of the two stars in the γ Cep system, namely 1.40 ± 0.12 M_☉ for the primary and 0.409 ± 0.018 M_☉ for the secondary (consistent with being a M4 dwarf). We also determine the minimum mass of the sub-stellar companion to be M_p sin i = 1.60 ± 0.13 M_(Jup)
Optimal control of a dengue epidemic model with vaccination
We present a SIR+ASI epidemic model to describe the interaction between human
and dengue fever mosquito populations. A control strategy in the form of
vaccination, to decrease the number of infected individuals, is used. An
optimal control approach is applied in order to find the best way to fight the
disease.Comment: This is a preprint of a paper accepted for presentation at ICNAAM
2011, Halkidiki, Greece, 19-25 September 2011, and to appear in AIP
Conference Proceedings, volume 138
Modeling and Optimal Control Applied to a Vector Borne Disease
A model with six mutually-exclusive compartments related to Dengue disease is
presented. In this model there are three vector control tools: insecticides
(larvicide and adulticide) and mechanical control. The problem is studied using
an Optimal Control (OC) approach. The human data for the model is based on the
Cape Verde Dengue outbreak. Some control measures are simulated and their
consequences analyzed
Insecticide control in a Dengue epidemics model
A model for the transmission of dengue disease is presented. It consists of
eight mutually-exclusive compartments representing the human and vector
dynamics. It also includes a control parameter (insecticide) in order to fight
the mosquitoes. The main goal of this work is to investigate the best way to
apply the control in order to effectively reduce the number of infected humans
and mosquitoes. A case study, using data of the outbreak that occurred in 2009
in Cape Verde, is presented.Comment: Accepted 28/07/2010 in the special session "Numerical Optimization"
of the 8th International Conference of Numerical Analysis and Applied
Mathematics (ICNAAM 2010), Rhodes, Greece, 19-25 September 201
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