Statistical Benchmarks for Quantum Transport in Complex Systems From Characterisation to Design /

• Main Author: Walschaers, Mattia (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Quantum physics.; Statistical physics.; Dynamical systems.; Quantum Physics.; Statistical Physics and Dynamical Systems.; Complex Systems.
• Physical Description: XX, 450 p. 80 illus., 17 illus. in color. online resource.
• ISBN: 9783319931517
• ISSN: 2190-5053
• DOI: 10.1007/978-3-319-93151-7

This book introduces a variety of statistical tools for characterising and designing the dynamical features of complex quantum systems. These tools are applied in the contexts of energy transfer in photosynthesis, and boson sampling. In dynamical quantum systems, complexity typically manifests itself via the interference of a rapidly growing number of paths that connect the initial and final states. The book presents the language of graphs and networks, providing a useful framework to discuss such scenarios and explore the rich phenomenology of transport phenomena. As the complexity increases, deterministic approaches rapidly become intractable, which leaves statistics as a viable alternative.