1.

Record Nr.

UNINA9910300530203321

Autore

Walschaers Mattia

Titolo

Statistical Benchmarks for Quantum Transport in Complex Systems [[electronic resource] ] : From Characterisation to Design / / by Mattia Walschaers

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018

ISBN

3-319-93151-2

Edizione

[1st ed. 2018.]

Descrizione fisica

1 online resource (457 pages)

Collana

Springer Theses, Recognizing Outstanding Ph.D. Research, , 2190-5053

Disciplina

530.12

Soggetti

Quantum physics

Statistical physics

Dynamical systems

Quantum Physics

Statistical Physics and Dynamical Systems

Complex Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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. .

Sommario/riassunto

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.