Quantum non-Markovian dynamics controlled by a local nanoprobe in nanosystems coupled via optical near fields

Abstract

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.