Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence

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We study the optically induced effective interaction between spins in micropillars. Our theoretical model describes a circularly polarized cavity mode strongly coupled to two quantum-dot excitons, each of which interacts with a localized spin. The decoherence effect inducing a finite lifetime to the...

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Detalles Bibliográficos
Autor principal: Andrade, J.A
Otros Autores: Aligia, Armando Angel, Quinteiro, G.F
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2012
Acceso en línea:Registro en Scopus
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Registro en la Biblioteca Digital
Aporte de:Registro referencial: Solicitar el recurso aquí
Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
Descripción
Sumario:We study the optically induced effective interaction between spins in micropillars. Our theoretical model describes a circularly polarized cavity mode strongly coupled to two quantum-dot excitons, each of which interacts with a localized spin. The decoherence effect inducing a finite lifetime to the cavity mode is included. Using the master equation for the density matrix we investigate the dynamics under low-power excitation. In the absence of decoherence, we recover the result obtained in a previous work (which uses conventional low-energy reduction procedures) for an effective Hamiltonian containing a Zeeman term and an Ising interaction between the localized spins. For finite cavity-photon lifetime we employ Fourier analysis on the time dependence of the nondiagonal element of the reduced density matrix, obtained by tracing out the photons and excitons, to find a quasieffective spin-spin Ising Hamiltonian. This Hamiltonian is a possible building block for two-qubit quantum computing operation. We study how decoherence affects the construction of that effective interaction. Finally, we discuss the possible application for transition-metal impurity spins embedded in CdTe quantum dots. © 2012 American Physical Society.
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ISSN:10980121
DOI:10.1103/PhysRevB.85.165421

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