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Statistical Benchmarks for Quantum Transport in Complex Systems

✍ Scribed by Mattia Walschaers

Publisher
Springer International Publishing
Year
2018
Tongue
English
Leaves
457
Series
Springer Theses
Edition
1st ed.
Category
Library
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✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-xx
Front Matter ....Pages 1-1
Perspectives and Outline (Mattia Walschaers)....Pages 3-19
Essentials of Quantum Theory (Mattia Walschaers)....Pages 21-49
Complex Quantum Systems and Random Matrix Theory (Mattia Walschaers)....Pages 51-74
Front Matter ....Pages 75-75
Efficient Transport in Closed Systems (Mattia Walschaers)....Pages 77-143
Scattering Approach to Efficient Transport (Mattia Walschaers)....Pages 145-169
Quantum Effects in Biological Systems (Mattia Walschaers)....Pages 171-195
Front Matter ....Pages 197-197
Describing Many-Particle Quantum Systems (Mattia Walschaers)....Pages 199-263
Many-Particle Interference (Mattia Walschaers)....Pages 265-373
Currents of Indistinguishable Particles (Mattia Walschaers)....Pages 375-419
Front Matter ....Pages 421-421
Conclusions and Outlook (Mattia Walschaers)....Pages 423-432
Back Matter ....Pages 433-450

✦ Subjects

Physics; Quantum Physics; Statistical Physics and Dynamical Systems; Complex Systems

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