Impacto del desorden en los estados cu\'anticos de dos fotones generados en arreglos de gu\'ias de onda no lineales

TL;DR

This paper investigates how disorder in coupling, injection amplitude, and phase affects light propagation and quantum correlations in nonlinear waveguide arrays, revealing robustness of quantum correlations despite disorder.

Contribution

It introduces a simulation of disorder effects on quantum states in waveguide arrays, highlighting the differential impact of disorder types on localization, dispersion, and quantum correlations.

Findings

Disorder in coupling increases localization and reduces dispersion.

Disorder in injection amplitude and phase tends to delocalize the wave function.

Quantum correlations remain robust despite the presence of disorder.

Abstract

In an array of nonlinear waveguides, quantum states can be generated from classical states through spontaneous parametric down-conversion of photons. This work simulates and analyzes the effect of disorder on light propagation and its quantum correlations, implementing disorder in three system parameters: coupling, injection amplitude, and injection phase. It is determined that when light is injected into only one waveguide, disorder in the coupling increases localization and reduces dispersion. Moreover, in this case, propagation tends to remain ballistic, a characteristic feature of waveguide arrays. Conversely, disorder in the injection amplitude and phase tends to delocalize the wave function, with the latter having a more pronounced effect. Finally, it is observed that quantum correlations, obtained from the correlation matrix, are robust in the presence of disorder, particularly the null elements. -- En un arreglo de gu\'ias de onda no lineales se pueden generar estados cu\'anticos a partir de estados cl\'asicos mediante la conversi\'on param\'etrica descendente espont\'anea de fotones. En este trabajo se simula y analiza el efecto del desorden en la propagaci\'on de la luz y sus correlaciones cu\'anticas, implementando desorden en tres perfiles del sistema: acoplamiento, amplitud de inyecci\'on y fase de inyecci\'on. Se determina que, cuando se inyecta solamente una gu\'ia de onda, el desorden en el acoplamiento aumenta la localizaci\'on y disminuye la dispersi\'on. Adem\'as, en este caso se preserva la propagaci\'on con tendencia a ser bal\'istica, lo cual es caracter\'istico de arreglos de gu\'ias de onda. Contrariamente, el desorden en la amplitud y fase de inyecci\'on tienden a deslocalizar la funci\'on de onda, siendo el efecto mayor en el \'ultimo caso. Finalmente, se observa que las correlaciones cu\'anticas, obtenidas a partir de la matriz de correlaci\'on, son robustas ante la presencia de desorden, en particular los elementos nulos.