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The Japan Society of Applied Physics

Theoretical elucidation of non-Markovian effects in excitation-transfer dynamics between two-level systems via optical near-field

Tomoaki Yazaki, Akira Ishikawa, Kiyoshi Kobayashi

Published Jan 28, 2020• 0 citations
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Abstract The optical near field originates from the non-Markovianity of quantum coherent dynamics due to the light–matter interaction. To observe the optical near field localized near the surface of a nanomaterial, a local nanoprobe must be in close proximity, and the effect of the local nanoprobe cannot be ignored. Therefore, we elucidate the effect of the local nanoprobe on the non-Markovianity of the optical-near-field interaction, estimating the trace distance between the density matrices in the non-Markovian and Markovian cases and its integration as a quantitative measure of the non-Markovianity. The effect of the local nanoprobe plays an important role in the quantum coherent and non-Markovian dynamics via the optical near field, and furthermore, this result suggests that the local nanoprobe can control the non-Markovianity in the quantum coherent dynamics.
Energy transfer and exciton population dynamics in a two-quantum dot system coupled with a phonon heat-bath system are examined using the density matrix formalism. In such a system, optical near-field interactions induce energy transfer between quantum dots, and exciton–phonon interactions guarantee the unidirectional excitation energy transfer. Our theoretical investigation shows that the population dynamics change drastically depending on the coupling strengths due to optical near-field interactions and exciton–phonon heat-bath interactions. The temperature effect promotes frequent energy back-transfer from the heat-bath to the quantum dot system. Applying our theoretical formulation, we numerically calculate the time evolution of populations, and estimate energy transfer time or state-filling time for a CuCl quantum dot system. The estimated time is suitable for the elements in our proposed optical nano-switch and nano-photonic devices.