Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
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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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10980121_v85_n16_p_Andrade |
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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 |
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Universidad de Buenos Aires |
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I-28 |
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R-134 |
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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 |
_version_ |
1807323542406037504 |