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

by Mattia Walschaers

Overview

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.

Product Details

ISBN-13:	9783030066024
Publisher:	Springer International Publishing
Publication date:	12/25/2018
Series:	Springer Theses
Edition description:	Softcover reprint of the original 1st ed. 2018
Pages:	450
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

Part I: General Introduction.- Perspective.- Essential Quantum Theory.- Complex Quantum Systems and Random Matrix Theory.- Part II: Single-particle Quantum Transport.- Efficient Transport in Closed Systems.- Scattering Approach to Efficient Transport.- Part III: Many-particle Quantum Transport.- Describing Many-particle Quantum Systems.- Many-Particle Interference.- Currents of Indistinguishable Particles.- Part IV: General Conclusions and Prospects.- Conclusions.