Statistical Benchmarks for Quantum Transport in Complex Systems
From Characterisation to Design
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Beschreibung
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.
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.
Nominated as an outstanding Ph.D thesis by the Albert Ludwig University, Freiburg, Germany Provides an introduction to the algebraic formalism for many-particle systems, applied to modern problems such as boson sampling Introduces a statistical approach to understand dynamical features of complex quantum systems Presents extensive context, background, and mathematical formalism in an accessible way
Autor*in
Mattia Walschaers
Themen in »Statistical Benchmarks for Quantum Transport in Complex Systems«
Quantum Interference Many-Particle Interference Many-Body Systems Open Quantum Systems Quantum Transport Boson Sampling Non-Equilibrium Statistical Mechanics Quantum Statistical Mechanics Random Matrix Theory Dynamical Quantm Systems