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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Autores principales: Andrade, J.A., Aligia, A.A., Quinteiro, G.F.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10980121_v85_n16_p_Andrade
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_10980121_v85_n16_p_Andrade
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spelling todo:paper_10980121_v85_n16_p_Andrade2023-10-03T16:06:20Z Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence Andrade, J.A. Aligia, A.A. Quinteiro, G.F. 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. Fil:Quinteiro, G.F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10980121_v85_n16_p_Andrade
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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.
format JOUR
author Andrade, J.A.
Aligia, A.A.
Quinteiro, G.F.
spellingShingle Andrade, J.A.
Aligia, A.A.
Quinteiro, G.F.
Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
author_facet Andrade, J.A.
Aligia, A.A.
Quinteiro, G.F.
author_sort Andrade, J.A.
title Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
title_short Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
title_full Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
title_fullStr Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
title_full_unstemmed Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
title_sort effective hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
url http://hdl.handle.net/20.500.12110/paper_10980121_v85_n16_p_Andrade
work_keys_str_mv AT andradeja effectivehamiltonianfortheimpurityimpurityinteractioninmicropillarsinthepresenceofdecoherence
AT aligiaaa effectivehamiltonianfortheimpurityimpurityinteractioninmicropillarsinthepresenceofdecoherence
AT quinteirogf effectivehamiltonianfortheimpurityimpurityinteractioninmicropillarsinthepresenceofdecoherence
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