Coherent Wave Propagation in Multimode Systems with Correlated Noise

Abstract

Imperfections in multimode systems lead to mode-mixing and interferences between propagating modes. Such disorder is typically characterized by a finite correlation time (in quantum evolution) or correlation length (in paraxial evolution). We show that the long-scale dynamics of an initial excitation that spread in mode space can be tailored by the coherent dynamics on short-scale. In particular we unveil a universal crossover from exponential to power-law ballistic-like decay of the initial mode. Our results have applications to various wave physics frameworks, ranging from multimode fiber optics to quantum dots and quantum biology.

Optical Phase Transitions in Photonic Networks: A Spin System Formulation

“…( 1) is particularly useful when the nonlinearity is weak. Equations ( 1) and ( 2) also describe multimode optical fibers 25,43,44 or multimode resonators [45][46][47] , Figs. 1d,e respectively.…”

“…A decisive step along these lines has been achieved recently by the authors of Ref. 19,26 which, assuming thermal equilibrium conditions and weak non-linearity, have established a comprehensive 41,42 ; (c) A multicore fiber 25 ; (d) A multimode fiber 25,43,44 ; (e) Deformed multimode (micro-) resonator with underlying chaotic dynamics [45][46][47] ; (f) A network of coupled "soft" (size-modulated) spins. The corresponding Hamiltonian has similarities but also crucial differences with the Hamiltonian that describes a photonic multimode network.…”

Engineered Mode Coupling In Multimode Fibers And Microcavities

“…Introduction 7 tion length between segments, the mean propagation constant spacing, and the strength of the perturbation that mixes the modes. These two chapters are based on a research paper that was recently published in Physical Review Letters [13].…”

“…In our publication [13], we reported that the scale of environmental disorder correlation length plays an important role in dictating the transition between different dynamics regimes. We set two thresholds of z c , separating three regimes:…”

“…Since the number of modes is large, with disorder that is complex and random enough, we shall refer to some statistical tools to approach the problem. Our original work [13] aims at developing a statistical framework that models mode coupling in MMFs, and we use the framework as a basis for fiber cross-section designs to tailor mode coupling [14]. By appropriate modification, our mode coupling model can be also used for other multi-mode or multi-level systems, for example, a multi-mode microcavity with time-dependent varying perturbations.…”