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

Autor Mattia Walschaers
en Limba Engleză Hardback – 11 aug 2018
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.
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Specificații

ISBN-13: 9783319931500
ISBN-10: 3319931504
Pagini: 422
Ilustrații: XX, 450 p. 80 illus., 17 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.84 kg
Ediția:1st ed. 2018
Editura: Springer International Publishing
Colecția Springer
Seria Springer Theses

Locul publicării:Cham, Switzerland

Cuprins

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.
 

Textul de pe ultima copertă

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.

Caracteristici

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