We study the exact dynamics underlying stimulated Raman adiabatic passage (STIRAP) for a particle in a multi-level anharmonic system (the infinite square-well) driven by two sequential laser pulses, each with constant carrier frequency. In phase space regions where the laser pulses create chaos, the particle can be transferred coherently into energy states different from those predicted by trad...

We study the exact dynamics underlying stimulated Raman adiabatic passage (STIRAP) for a particle in a multi-level anharmonic system (the infinite square-well) driven by two sequential laser pulses, each with constant carrier frequency. In phase space regions where the laser pulses create chaos, the particle can be transferred coherently into energy states different from those predicted by trad...

This paper derives, in the exact framework of multiple scattering theory for point targets, a noniterative analytical formula for the nonlinear inversion of the target scattering strengths from the scattering or response matrix that can be applied after the target positions have been estimated in a previous step via, e.g., time-reversal multiple signal classification or another approach. The ne...

When the exact time-dependent solutions of a system of ordinary differential equations are chaotic, numerical solutions obtained by using particular schemes for approximating time derivatives by finite differences, with particular values of the time increment τ , are sometimes stably periodic. It is suggested that this phenomenon be called computational periodicity. A particular system of three...

Abstract We provide a complete characterization of the possible sets periods for Devaney chaotic linear operators on Hilbert spaces. As consequence, we also derive this linearizable maps Banach

We study when the operator f(Bw) is chaotic in the sense of Devaney on a Köthe echelon sequence space, where Bw is a weighted backward shift and f(z) = ∑∞ j=0 fjz j is a formal power series.

A method is known by which any integer n ≥ 2 in a metric Cantor space of right-infinite words ÃN n gives a construction of a non-injective cellular automaton (ÃN n , F̃n), which is chaotic in Devaney sense, has a radius r = 1, continuum of fixed points and topological entropy log(n). As a generalization of this method we present for any integer n ≥ 2, a construction of a cellular automaton (AN n...

In this third of a series of four articles, we continue the study of the representations of the dynamical transformations of systems of correlated quantized oscillators. By including generalized wave function solutions to Schrödinger’s equation (belonging to a rigged Hilbert space), and by considering the algebra of observables as a whole, the presence of Devaney chaos, hyperbolic quasi-invaria...