Non-Markovian dynamics in a quantum emitter near a topological insulator nanoparticle.

We analyze the spontaneous emission dynamics of a quantum emitter near a topological insulator Bi2Te3 nanosphere, using a combination of electromagnetic calculations and quantum dynamics simulations. For the study of the quantum system dynamics, besides the excited state population dynamics, different non-Markovianity measures are used. We also estimate the quantum speed limit in the system. For large free-space decay rates, the dynamics has strong non-Markovian features, which correlate directly with large values of non-Markovianity measures and possible significant quantum speedup of the dynamics. The dynamical features become gradually Markovian as the free-space decay times become long, while the corresponding non- Markovianity measures tend to zero and the quantum speedup diminishes. [ABSTRACT FROM AUTHOR]