Full Counting Statistics Of Ultrafast Quantum Transport

Full Counting Statistics of Ultrafast Quantum Transport

Statistical Benchmarks for Quantum Transport in Complex Systems

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.

Theory and Evaluation of Single-molecule Signals

This book reviews recently developed theoretical and numerical approaches to deal with optical and mechanical signals from individual molecules. The character of data generated by single molecules, and more generally by single nano-objects, qualitatively differs from those obtained in conventional experiments on large ensembles of molecules. Fluctuations, randomness and irreproducibility are central to single-molecule measurements, and the specific methods required to extract reliable and statistically relevant information from them are presented here. With contributions mainly from participants of the OC Theory, Modeling and Evaluation of Single-Molecule MeasurementsOCO workshop held in Leiden, the Netherlands, on April 16-20, 2007, this book is an authoritative compendium on the subject.