Non-Markovian effects in open quantum systems [Elektronische Ressource] / vorgelegt von Jens Eckel

Non-Markovian effects in open quantumsystemsInaugural-Dissertationzur Erlangung des Doktorgradesder Mathematisch-Naturwissenschaftlichen Fakult¨ atder Heinrich-Heine-Universit¨ at Dusseldorf¨vorgelegt vonJens Eckelaus Bonn Bad-GodesbergDusseldorf,¨ Juli 2009Aus dem Institut fur¨ Theoretische Physik IVder Heinrich-Heine-Universit¨ at Dusseldorf¨Gedruckt mit Genehmigung derMathematisch-Naturwissenschaftlichen Fakult¨ atder Heinrich-Heine-Universit¨ at Dusseldorf¨Referent: PD Dr. Michael ThorwartKoreferent: Prof. Dr. Reinhold EggerTag der mundlic¨ hen Prufung:¨ 3.7.2009SummaryIn the thesis at hand we investigate the dynamics of open quantum systems. Withinthe present studies the environment of the systems of interest is both bosonic orfermionic in nature. The aim of this work is to account for non-Markovian effectswithin the real-time dynamics and to demonstrate their relevance for a thoroughunderstanding of the underlying dynamical processes.After an introductory chapter which motivates the studies presented in the thesiswe first give an introduction on the dynamics of open quantum systems in chapter 2.Here, the underlying formalism essential for the thesis is presented and we elucidatefurther the similarities of the specific chapters of this work.In chapter 3 we investigate the real-time dynamics of a donor based charge qubit.Here, the charge qubit is coupled to a bosonic environment of phonons which consti-tutes a specific spectral density.