Statistical Benchmarks for Quantum Transport in Complex Systems

From Characterisation to Design

Mattia Walschaers (Autor)

Buch | Hardcover

XX, 450 Seiten

2018 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-93150-0 (ISBN)

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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.

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.

Erscheinungsdatum	12.08.2018
Reihe/Serie	Springer Theses
Zusatzinfo	XX, 450 p. 80 illus., 17 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	824 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Boson sampling • Dynamical Quantm Systems • many-body systems • Many-Particle Interference • Non-equilibrium statistical mechanics • Open Quantum Systems • Quantum interference • quantum statistical mechanics • Quantum Transport • Random Matrix Theory
ISBN-10	3-319-93150-4 / 3319931504
ISBN-13	978-3-319-93150-0 / 9783319931500
Zustand	Neuware