Measuring Non-Markovianity of Noise in the Cenrtal Spin System

Abstract

In this thesis, we explore non-Markovian noise in the central spin system due to the coupling between the central spin and the environment. We use a solid state nuclear magnetic resonance system to do the experiment since we have control over both the central spin and environment. In particular, we can manipulate the interaction between the central spin and the environment and the interaction between spins from the environment to study their effects individually. A powder of triphenylphosphine is used in the experiment. A change of local field seen by the central spin caused by interaction between spins in the environment is measured experimentally. A quantitative measure of non-Markovianity of noise on the central spin and a method to estimate non-Markovianity using the randomized benchmarking protocol are introduced.