Beam interactions in one-dimensional saturable waveguide arrays

The interaction between two parallel beams in one-dimensional discrete saturable systems has been investigated using lithium niobate nonlinear waveguide arrays. When the beams are separated by one channel and in-phase it is possible to observe soliton fusion at low power levels. This new result is confirmed numerically. By increasing the power, soliton-like propagation of weakly-coupled beams occurs. When the beams are out-of-phase the most interesting result is the existence of oscillations which resemble the recently discovered Tamm oscillations.Comment: 5 pages, 6 figures, submitted to Phys. Rev.

Mobility of Discrete Solitons in Quadratically Nonlinear Media

We study the mobility of solitons in second-harmonic-generating lattices. Contrary to what is known for their cubic counterparts, discrete quadratic solitons are mobile not only in the one-dimensional (1D) setting, but also in two dimensions (2D). We identify parametric regions where an initial kick applied to a soliton leads to three possible outcomes, namely, staying put, persistent motion, or destruction. For the 2D lattice, it is found that, for the solitary waves, the direction along which they can sustain the largest kick and can attain the largest speed is the diagonal. Basic dynamical properties of the discrete solitons are also discussed in the context of an analytical approximation, in terms of an effective Peierls-Nabarro potential in the lattice setting.Comment: 4 page

An amalgamation property for metric spaces

In this paper we show that sufficiently similar finite metric spaces can be amalgamated so that the distance between them is sufficiently small

Dynamics of quantum light in integrated nonlinear waveguide arrays and generation of robust continuous variable entanglement

We study a class of nonlinear waveguide arrays where the waveguides are endowed with quadratic non- linearity and are coupled through the evanescent overlap of the guided modes. We study both the stimulated and spontaneous process in the array and show the viability of such an array as a platform for generating both bipartite and tripartite continuous variable entanglement on demand. We explicitly address the affect of realistic losses on the entanglement produced, briefly discuss the possible types of nonlinear materials that could be used, and suggest solutions to the possible phase matching issues in the waveguides. The simultaneous generation and manipulation of the light on a single waveguide chip circumvents the usual bandwidth problems associated with the use of external bulky optical elements and makes this avenue promising for further investigation.Comment: 5 pages, 5 figure

Vergleichende Analyse der Linguokulturwissenschaftlichen Konzepte und Sprachstrukturen als Methode Zur Lösung des Problems der Interkulturellen Kommunikation Beim Fremdsprachlernen

Vorliegender Artikel ist auf die vergleichende Analyse der linguokulturwissenschaftlichen Konzepte und Sprachstrukturen als Methode zur Lösung des Problem der interkulturellen Kommunikation gerichtet. Er ist dem weiten Kreis der Fremdsprachenlerner gewidmet, die auf das Problem der intersprachlichen und interkulturellen Verständigung stoßen.Данная статья направлена на применение метода анализа сопоставительных лингвокультурологических концептов и структур языков к решению проблемы МКК. Она рассчитана на широкий круг сталкивающихся учащихся любого иностранного языка с проблемой при межъязыковом и межкультурном понимании

Nonlinear optics and light localization in periodic photonic lattices

We review the recent developments in the field of photonic lattices emphasizing their unique properties for controlling linear and nonlinear propagation of light. We draw some important links between optical lattices and photonic crystals pointing towards practical applications in optical communications and computing, beam shaping, and bio-sensing.Comment: to appear in Journal of Nonlinear Optical Physics & Materials (JNOPM

Fractional recurrence in discrete-time quantum walk

Quantum recurrence theorem holds for quantum systems with discrete energy eigenvalues and fails to hold in general for systems with continuous energy. We show that during quantum walk process dominated by interference of amplitude corresponding to different paths fail to satisfy the complete quantum recurrence theorem. Due to the revival of the fractional wave packet, a fractional recurrence characterized using quantum P\'olya number can be seen.Comment: 10 pages, 11 figure : Accepted to appear in Central European Journal of Physic