Quantum Chaos and Disorder by Garreau, Jean-Claude;

An Introduction with Sample Programs and Exercises

Sorozatcím: Lecture Notes in Physics;

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A termék adatai:

Kiadó Springer Nature Switzerland
Megjelenés dátuma 2026. augusztus 18.

ISBN 9783032147318
Kötéstípus Puhakötés
Terjedelem807 oldal
Méret 235x155 mm
Nyelv angol
Illusztrációk XXX, 807 p. 213 illus., 184 illus. in color.

Kategóriák

Alkalmazott matematika Taxonómia, rendszertan Villamosmérnöki tudományok, híradástechnika, műszeripar A számítástudomány elmélete, a számítástechnika általában Kvantumfizika (kvantummechanika)

Hosszú leírás:

This textbook on quantum chaos, quantum disorder, and connections to modern atomic and condensed matter physics is accessible to advanced undergraduate and graduate students, but will also be a useful reference for researchers. As well as presenting a unique set of topics, the goal of the book is to develop physical intuition, but unlike other texts on quantum chaos, the reader is invited to explore the subject via a selection of numerical simulations tasks. To achieve this goal, the book introduces and discusses subjects like quantum chaos, quantum disorder, random matrix theory, and the Anderson model, illustrating them with the quantum kicked rotor (QKR). The kicked rotor, a paradigmatic system for both quantum chaos and quantum disorder, is conceptually very simple but many interesting aspects of its dynamics (both quantum and classical) can be easily simulated. A chapter on ultracold atoms allows the reader to understand the experimental realization of the QKR using only Masters-level quantum mechanics and also covers a variety of aspects ranging from Bose-Einstein condensates to quantum simulators. The final part of the chapter is dedicated to the timely subject of interparticle interactions which lead to novel phenomena like many-body localization in disordered systems and quasi-classical chaos in quantum systems, opening a window to current research topics. Some simple programs are provided in standard languages like Python or C++ and using shared routine packs like FFTW3 and Eigen, along with guidance for readers to write their own routines to explore more specialized or advanced scenarios. The chapters are largely self-contained, and each one is furnished with exercises and computational tasks along with selected solutions and hints, making the book ideal for a taught course on its main theme or as supplementary reading for advanced condensed matter and quantum physics courses. An apendix provides background material to help the readers who need some complementary instruction in specific points, and another apendix introduces the most useful numerical methods.

Több

Tartalomjegyzék:

Chapter 1: Classical Chaos.- Chapter 2: Quantum Chaos.- Chapter 3: Quantum Disorder.- Chapter 4: The Kicked Rotor.- Chapter 5: Manipulating Atoms With Light.