We report the realization of a light source specifically designed for the generation of bright continuousvariable entangled beams and for Heisenberg-limited inteferometry. The source is a nondegenerate, singlemode, continuous-wave optical parametric oscillator in Na:KTP, operated at frequency degeneracy and just above threshold, which is also of interest for the study of critical fluctuations a...

We study the squeezing properties of light generated by nondegenerate three-level laser in which atoms are cascade configuration with degenerate parametric oscillator. obtain c-number Langevin equations associated normal ordering using pertinent master equation. Making use solutions equations, we calculate quadrature variances. The results show that two-mode produced system under consideration ...

We review several experimental methodologies for the determination of nonlinear absorption coefficients of organic chromophores in either solution or thin film form. The goal here is to also be able to identify and quantify the nonlinear absorption process or processes, e.g. the essentially instantaneous two-photon absorption (2PA) or the cumulative excited-state absorption (ESA). These methods...

For optimal control problems involving ordinary differential equations and functional inequality state constraints, the maximum principle may degenerate, producing no useful information about minimizers. This is known as the degeneracy phenomenon. Several non-degenerate forms of the maximum principle, valid under different constraint qualifications, have been proposed in the literature. In this...

A slight modification of the proof of Szemerédi’s cube lemma gives that if a set S ⊂ [1, n] satisfies |S| ≥ n2 , then S must contain a non-degenerate Hilbert cube of dimension blog2 log2 n− 3c. In this paper we prove that in a random set S determined by Pr{s ∈ S} = 1 2 for 1 ≤ s ≤ n, the maximal dimension of nondegenerate Hilbert cubes is a.e. nearly log2 log2 n+log2 log2 log2 n and determine t...

The existence of a unique strong solution for the Cauchy problem to semilinear nondegenerate fractional differential equation and for the generalized Showalter–Sidorov problem to semilinear fractional differential equation with degenerate operator at the Caputo derivative in Banach spaces is proved. These results are used for search of solution existence conditions for a class of optimal contro...

We consider the problem of minimizing queue-length costs in a system with heterogenous parallel servers, operating in a many-server heavy-traffic regime with nondegenerate slowdown. This regime is distinct from the wellstudied heavy traffic diffusion regimes, namely the (single server) conventional regime and the (many-server) Halfin–Whitt regime. It has the distinguishing property that waiting...