764 research outputs found
Rabi oscillations of two-photon states in nonlinear optical resonators
We demonstrate that four-wave mixing processes in high-quality non-linear
resonators can lead to Rabi-like oscillations in photon occupation numbers and
second-order correlation functions, being a characteristic feature of the
presence of entangled photon pairs in the optical signal. In the case of a
system driven by a continuous coherent pump, the oscillations occur in the
transient regime. We show that driving the system with pulsed coherent pumping
would generate strongly anti-bunched photon states.Comment: 5 pages, 6 figure
Legislative History: An Act to Extend the Reporting Deadline for the Teacher and Administrator Certification Study (SP420)(LD 1300)
https://digitalmaine.com/legishist113/2299/thumbnail.jp
Characterizing Planetary Orbits and the Trajectories of Light
Exact analytic expressions for planetary orbits and light trajectories in the
Schwarzschild geometry are presented. A new parameter space is used to
characterize all possible planetary orbits. Different regions in this parameter
space can be associated with different characteristics of the orbits. The
boundaries for these regions are clearly defined. Observational data can be
directly associated with points in the regions. A possible extension of these
considerations with an additional parameter for the case of Kerr geometry is
briefly discussed.Comment: 49 pages total with 11 tables and 10 figure
Position-momentum-entangled photon pairs in nonlinear waveguides and transmission lines
We analyze the correlation properties of light in nonlinear waveguides and transmission lines, predict the position-momentum realization of the Einstein-Podolsky-Rosen paradox for photon pairs in Kerr-type nonlinear photonic circuits, and we show how two-photon entangled states can be generated and detected
Curvature-Induced Defect Unbinding in Toroidal Geometries
Toroidal templates such as vesicles with hexatic bond orientational order are
discussed. The total energy including disclination charges is explicitly
computed for hexatic order embedded in a toroidal geometry. Related results
apply for tilt or nematic order on the torus in the one Frank constant
approximation. Although there is no topological necessity for defects in the
ground state, we find that excess disclination defects are nevertheless
energetically favored for fat torii or moderate vesicle sizes. Some
experimental consequences are discussed.Comment: 12 pages, 15 eps figure
Statistics of excitons in quantum dots and the resulting microcavity emission spectra
A theoretical investigation is presented of the statistics of excitons in
quantum dots (QDs) of different sizes. A formalism is developed to build the
exciton creation operator in a dot from the single exciton wavefunction and it
is shown how this operator evolves from purely fermionic, in case of a small
QD, to purely bosonic, in case of large QDs. Nonlinear optical emission spectra
of semiconductor microcavities containing single QDs are found to exhibit a
peculiar multiplet structure which reduces to Mollow triplet and Rabi doublet
in fermionic and bosonic limits, respectively.Comment: Extensively expanded revision, 14 pages, 12 figures, submitted to
Phys. Rev.
Comparing placentas from normal and abnormal pregnancies
This report describes work carried out at a Mathematics-in-Medicine Study Group. It is believed that placenta shape villous network characteristics are strongly linked to the placenta’s efficiency, and hence to pregnancy outcome. We were asked to consider mathematical ways to describe the shape and other characteristics of a placenta, as well as forming mathematical models for placenta development. In this report we propose a number of possible measure of placental shape, form, and efficiency, which can be computed from images already obtained. We also consider various models for the early development of placentas and the growth of the villous tree
Frontiers of Biogeography:Taking its place as a journal of choice for the publication of high quality biogeographical research articles
Through this editorial we seek your support and engagement as authors, readers and reviewers as we take the next steps in developing Frontiers of Biogeography as a leading international journal of biogeography and related subdisciplines. Here we make the case for submitting your next contribution to this journal: affordable, gold libre, open access, with the support of a disciplinarily-informed editorial and review team, which returns benefits to the biogeography community.Peer Reviewe
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