670 research outputs found
Entanglement and squeezing in a two-mode system: theory and experiment
We report on the generation of non separable beams produced via the
interaction of a linearly polarized beam with a cloud of cold cesium atoms
placed in an optical cavity. We convert the squeezing of the two linear
polarization modes into quadrature entanglement and show how to find out the
best entanglement generated in a two-mode system using the inseparability
criterion for continuous variable [Duan et al., Phys. Rev. Lett. 84, 2722
(2000)]. We verify this method experimentally with a direct measurement of the
inseparability using two homodyne detections. We then map this entanglement
into a polarization basis and achieve polarization entanglement.Comment: submitted to J. Opt. B for a Special Issue on Foundations of Quantum
Optic
Elimination du fer et du manganèse d’une eau de surface par les graines de Moringa oleifera
Dans cette étude, les échantillons d’eau de la retenue d’Okpara à Parakou ont été traités par les extraits aqueux des graines de Moringa oleifera en vue de réduire les concentrations de fer et de manganèse qu’ils contenaient. Dans deux échantillons d’eau de la retenue dont les concentrations en fer sont 8,20 mg/L et 21,10 mg/L puis 0,90 mg/L et 1,60 mg/L de manganèse, les taux d’abattement aux doses optimales 64 mg/L et 48 mg/L de Moringa oleifera sont respectivement de 80% et 42% pour le fer et 77% et 45% pour le manganèse. Lorsque Moringa a été utilisé comme adjuvant de coagulation au sulfate d’aluminium, 94% de fer et 90% de manganèse ont été éliminés. Ces résultats montrent que la combinaison de Moringa oleifera avec le sulfate d’aluminium conduit à des taux d’abattement de fer et de manganèse meilleurs que ceux obtenus avec le sulfate d’aluminium ou le Moringa oleifera utilisé chacun comme coagulant primaire ; en outre, cette combinaison a l’avantage de réduire la quantité d’alun nécessaire et par conséquent le coût du traitement de l’eau brute diminue.Mot clés: Moringa oleifera - fer - manganèse adjuvant de coagulation - jar-test
Coherent Backscattering of Ultracold Atoms
We report on the direct observation of coherent backscattering (CBS) of
ultracold atoms, in a quasi-two-dimensional configuration. Launching atoms with
a well-defined momentum in a laser speckle disordered potential, we follow the
progressive build up of the momentum scattering pattern, consisting of a ring
associated with multiple elastic scattering, and the CBS peak in the backward
direction. Monitoring the depletion of the initial momentum component and the
formation of the angular ring profile allows us to determine microscopic
transport quantities. The time resolved evolution of the CBS peak is studied
and is found a fair agreement with predictions, at long times as well as at
short times. The observation of CBS can be considered a direct signature of
coherence in quantum transport of particles in disordered media. It is
responsible for the so called weak localization phenomenon, which is the
precursor of Anderson localization.Comment: 5 pages, 4 figure
CP violation in scatterings, three body processes and the Boltzmann equations for leptogenesis
We obtain the Boltzmann equations for leptogenesis including decay and
scattering processes with two and three body initial or final states. We
present an explicit computation of the CP violating scattering asymmetries. We
analyze their possible impact in leptogenesis, and we discuss the validity of
their approximate expressions in terms of the decay asymmetry. In scenarios in
which the initial heavy neutrino density vanishes, the inclusion of CP
asymmetries in scatterings can enforce a cancellation between the lepton
asymmetry generated at early times and the asymmetry produced at later times.
We argue that a sizeable amount of washout is crucial for spoiling this
cancellation, and we show that in the regimes in which the washouts are
particularly weak, the inclusion of CP violation in scatterings yields a
reduction in the final value of the lepton asymmetry. In the strong washout
regimes the inclusion of CP violation in scatterings still leads to a
significant enhancement of the lepton asymmetry at high temperatures; however,
due to the independence from the early conditions that is characteristic of
these regimes, the final value of the lepton asymmetry remains approximately
unchanged.Comment: 24 pages, 6 figures. One appendix added. Some numerical results and
corresponding figures (mainly fig. 3) corrected. Final version to be
published in JHE
Flavour Matters in Leptogenesis
We give analytic approximations to the baryon asymmetry produced by thermal
leptogenesis with hierarchical right-handed neutrinos. Our calculation includes
flavour-dependent washout processes and CP violation in scattering, and
neglects gauge interactions and finite temperature corrections. Our approximate
formulae depend upon the three CP asymmetries in the individual lepton flavours
as well as on three flavour-dependent efficiency factors. We show that the
commonly used expressions for the lepton asymmetry, which depend on the total
CP asymmetry and one single efficiency factor, may fail to reproduce the
correct lepton asymmetry in a number of cases. We illustrate the importance of
using the flavour-dependent formulae in the context of a two right-handed
neutrino model.Comment: Additional typos corrected (in particular, the plots and captions now
agree
Determining Principal Component Cardinality through the Principle of Minimum Description Length
PCA (Principal Component Analysis) and its variants areubiquitous techniques
for matrix dimension reduction and reduced-dimensionlatent-factor extraction.
One significant challenge in using PCA, is thechoice of the number of principal
components. The information-theoreticMDL (Minimum Description Length) principle
gives objective compression-based criteria for model selection, but it is
difficult to analytically applyits modern definition - NML (Normalized Maximum
Likelihood) - to theproblem of PCA. This work shows a general reduction of NML
prob-lems to lower-dimension problems. Applying this reduction, it boundsthe
NML of PCA, by terms of the NML of linear regression, which areknown.Comment: LOD 201
Leptogenesis beyond the limit of hierarchical heavy neutrino masses
We calculate the baryon asymmetry of the Universe in thermal leptogenesis
beyond the usual lightest right-handed (RH) neutrino dominated scenario (N_1DS)
and in particular beyond the hierarchical limit (HL), M_1 << M_2 << M_3, for
the RH neutrino mass spectrum. After providing some orientation among the large
variety of models, we first revisit the central role of the N_1DS, with new
insights on the dynamics of the asymmetry generation and then discuss the main
routes departing from it, focusing on models beyond the HL. We study in detail
two examples of `strong-strong' wash-out scenarios: one with `maximal phase'
and the limit of very large M_3, studying the effects arising when
delta_2=(M_2-M_1)/M_1 is small. We extend analytical methods already applied to
the N_1DS showing, for example, that, in the degenerate limit (DL), the
efficiency factors of the RH neutrinos become equal with the single decay
parameter replaced by the sum. Both cases disprove the misconception that close
RH neutrino masses necessarily lead to a final asymmetry enhancement and to a
relaxation of the lower bounds on M_1 and on the initial temperature of the
radiation-dominated expansion. We also explain why leptogenesis tends to favor
normal hierarchy compared to inverted hierarchy for the left-handed neutrino
masses.Comment: 30 pages, 8 figures; corrected typo in Eq. (67); shortened
Introduction, Section 3 and Conclusions; one figure removed; added 2
references; to appear in JCA
Flavour Issues in Leptogenesis
We study the impact of flavour in thermal leptogenesis, including the quantum
oscillations of the asymmetries in lepton flavour space. In the Boltzmann
equations we find different numerical factors and additional terms which can
affect the results significantly. The upper bound on the CP asymmetry in a
specific flavour is weaker than the bound on the sum. This suggests that --
when flavour dynamics is included -- there is no model-independent limit on the
light neutrino mass scale,and that the lower bound on the reheat temperature is
relaxed by a factor ~ (3 - 10).Comment: 19 pages, corrected equations for flavour oscillation
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