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DYNAMICS AND ENTANGLEMENT OF A QUANTUM DOT-CAVITY SYSTEM COUPLED BY A NON-LINEAR OPTICAL INTERACTION
DINÁMICA Y ENTRELAZAMIENTO DE UN SISTEMA CAVIDAD-PUNTO CUÁNTICO ACOPLADO POR MEDIO DE UNA INTERACCIÓN ÓPTICA NO LINEAL
Keywords:
Entanglement, quantum dot, microcavity, non-linear optical interaction. (en)Entrelazamiento, punto cuántico, microcavidad, interacción óptica no lineal. (es)
We propose a simple theoretical model for a dissipative quantum dot-microcavity system interacting with a non-linear optical interaction. The Lindblad master equation formalism is considered to study the full dynamics for both weak and strong coupling regimes. The photoluminescence spectra of the system at the stationary limit is calculated in an exact form, and the effect due to non-linear optical interaction is explicitly evidenced. The entanglement of the system is calculated, and we found revivals and sudden death are evidenced. We also study the relationship between the light-matter and non-linear optical interaction terms by calculating the average photon number.
Se propone un modelo teórico sencillo para un sistema disipativo de punto cuántico-microcavidad que interactúan a través de una interacción óptica no lineal. El formalismo de la ecuación maestra en la forma de Lindblad es considerado para estudiar la dinámica del sistema en los regímenes de acoplamiento débil y fuerte, respectivamente. El espectro de fotoluminiscencia del sistema en el límite estacionario es calculado en forma exacta, y se muestra el efecto de la interacción óptica no lineal explícitamente sobre éste. Se calcula el entrelazamiento del sistema, y se encuentra resurgimientos y muerte s\'ubita del entrelazamiento. Adicionalmente, se estudia la relación entre los términos de interacción luz-materia (Jaynes-Cummings) e interacción óptica no lineal (medio Kerr) por medio del número medio de fotones.
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