Dissipative dynamics of a solid-state qubit coupled to surface plasmons: From non-Markov to Markov regimes

A. Gonzalez-Tudela, F. J. Rodríguez, L. Quiroga, and C. Tejedor
Phys. Rev. B 82, 115334 – Published 30 September 2010

Abstract

We theoretically study the dissipative dynamics of a quantum emitter placed near the planar surface of a metal supporting surface-plasmon excitations. The emitter-metal coupling regime can be tuned by varying some control parameters such as the qubit-surface separation and/or the detuning between characteristic frequencies. By using a Green’s-function approach jointly with a time-convolutionless master equation, we analyze the non-Markovian dissipative features on the qubit time evolution in two cases of interest: (i) an undriven qubit initially prepared in its excited state and (ii) the evolution toward a steady state for a system driven by a laser field. For weak to moderate qubit-metal coupling strength, and on time scales large compared to the surface plasmon oscillation time, a Markovian approximation for the master-equation results to be adequate to describe the qubit main optical properties: surface enhancements of rate emission, optical spectra, and time-dependent photon-photon correlation functions. The qubit decay shows a crossover passing from being purely dissipative for small qubit-surface distances to plasmon emission for larger separations.

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  • Received 1 June 2010

DOI:https://doi.org/10.1103/PhysRevB.82.115334

©2010 American Physical Society

Authors & Affiliations

A. Gonzalez-Tudela1,*, F. J. Rodríguez2, L. Quiroga2, and C. Tejedor1

  • 1Física Teórica de la Materia Condensada, Universidad Autónoma de Madrid, Madrid 28049, Spain
  • 2Departamento de Física, Universidad de los Andes, A.A. 4976 Bogotá, Colombia

  • *Corresponding author; alejandro.gonzalez@uam.es

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Vol. 82, Iss. 11 — 15 September 2010

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