15 research outputs found
Photoelectron spectra in an autoionization system interacting with a neighboring atom
Photoelectron ionization spectra of an autoionization system with one
discrete level interacting with a neighbor two-level atom are discussed. The
formula for long-time ionization spectra is derived. According to this formula,
the spectra can be composed of up to eight peaks. Moreover, the Fano-like zeros
for weak optical pumping have been identified in these spectra. The conditional
ionization spectra depending on the state of the neighbor atom exhibit
oscillations at the Rabi frequency. Dynamical spectral zeros occurring once per
the Rabi period have been revealed in these spectra.Comment: 10 pages, 13 figure
Surface spontaneous parametric down-conversion
Surface spontaneous parametric down-conversion is predicted as a consequence
of continuity requirements for electric- and magnetic-field amplitudes at a
discontinuity of chi2 nonlinearity. A generalization of the usual two-photon
spectral amplitude is suggested to describe this effect. Examples of nonlinear
layered structures and periodically-poled nonlinear crystals show that surface
contributions to spontaneous down-conversion can be important.Comment: 4 pages, 3 figure
Emission of photon pairs at discontinuities of nonlinearity in spontaneous parametric down-conversion
In order to fulfil the continuity requirements for electric- and
magnetic-field amplitudes at discontinuities of chi2 nonlinearity additional
photon pairs have to be emitted in the area of discontinuity. Generalized
two-photon spectral amplitudes can be used to describe properties of photon
pairs generated in this process that we call surface spontaneous parametric
down-conversion. The spectral structure of such photon pairs is similar to that
derived for photon pairs generated in the volume. Surface and volume
contributions to spontaneous down-conversion can be comparable as an example of
nonlinear layered structures shows.Comment: 11 pages, 8 figure
The quantized Jacobi polynomials
summary:The author studies a system of polynomials orthogonal at a finite set of points its weight approximating that of the orthogonal system of classical Jacobi polynomials
A nonparametric test of zero intrapair correlation
summary:The author applies the test criterion of P. Rothety to the statistical analysis of the positive correclation of symmetric pairs of observations. In this particular case he arrives at some new results. His work ends with a general proof of the consistency of Rothery's test
Quantum Behavior of a PT -Symmetric Two-Mode System with Cross-Kerr Nonlinearity
Quantum behavior of two oscillator modes, with mutually balanced gain and loss and coupled via linear coupling (including energy conserving as well as energy non-conserving terms) and nonlinear cross-Kerr effect, is investigated. Stationary states are found and their stability analysis is given. Exceptional points for PT -symmetric cases are identified. Quantum dynamics treated by the model of linear operator corrections to a classical solution reveals nonclassical properties of individual modes (squeezing) as well as their entanglement