Entangled quantum dots interacting with their own micro cavity classical field J.C. García-Melgarejo 1 , J. J. Sánchez-Mondragón 1 , S. Sánchez-Sánchez 1,2 , D.A. May-Arrioja 3 , M.A. Basurto-Pensado 4 , V.I. Ruiz-Pérez 1 1 Instituto Nacional de Astrofísica, Óptica y Electrónica. Luis Enrique Erro # 1, Tonantzintla, Puebla, México. 2 Institute of Energy Studies (IEE), in University of Isthmus, (UNISTMO) Tehuantepec Oaxaca, Mexico. 3 Electronics Department UAM Reynosa Rodhe, Autonomus University of Tamaulipas Carr. Reynosa-San Fernando S/N Reynosa, Tamaulipas 88779 Mexico. 4 CIICAP, Universidad Autónoma de Morelos. Av. Universidad 1001, Col. Chamilpa, Cuernavaca, Morelos. ABSTRACT Entanglement is one of the most striking quantum features, and still one of the hardest to understand. In this work, we develop a model of the interaction of a pair of entangled and coupled Quantum Dots (QDs), each one in its own micro cavity, interacting with its own particular classical field. We analyze the interaction with their specific classical coherent and thermal fields at the atomic variables and the Resonance Fluorescent (RF) spectrum of one of the QDs. We compare these results with the case when the QDs are not entangled. The field coherence properties of one of the QDs are shown in the evolution of the single population inversion and of the resonance fluorescent spectrum of each system, even in the case when they are not entangled, and we point out the differences due to the entanglement by comparing with the no entangled case Keywords: Quantum Dots, Entanglement, Foerster Interaction, Resonance Fluorescent Spectrum. 1. INTRODUCTION The development of structured materials and the experimental advances in this field enable us to have individual systems, monitor them and manipulate them at the quantum level. In fact, the Foerster interaction has been already proposed as an alternative in Quantum Computing. Therefore instead of becoming a nuisance of the Model, it becomes quite a handy model tool for further developments. In particular, it is possible to have a pair of coupled quantum dots in their own cavity. The Hamiltonian of a set of N quantum dots interacting with an electric field has been studied and can be considered the starting point of this work. 2. MODEL The physical system studied in this work is a pair of quantum dots, labeled as system 1 and system 2 respectively. Each quantum dot is inside a cavity interacting with its respective electric fields 1 () Et and 2 () Et and have a dipole-dipole interaction term denominated the Foerster interaction that coupled them. This system is modeled through the Hamiltonian: 22nd Congress of the International Commission for Optics: Light for the Development of the World, edited by Ramón Rodríguez-Vera, Rufino Díaz-Uribe, Proc. of SPIE Vol. 8011, 80115G 2011 SPIE · CCC code: 0277-786X/11/$18 · doi: 10.1117/12.903307 Proc. of SPIE Vol. 8011 80115G-1