page at Springer

Graduate Texts in Physics (Springer)
Physics and Mathematics of Quantum Many-Body Systems

Hal Tasaki

Addenda and Errata (Revised: September 21, 2020)
Download sample (pdf 100 kB) that contains Preface, Table of Contents, and Chapter 1. (No illustrations, sorry.)

About the book

Part I: Long-Range Order and Spontaneous Symmetry Breaking
Part II: Haldane Phenomena and Beyond
Part III: Hubbard Model and the Origin of Magnetism

Provides the first comprehensive and detailed review of the Haldane phenomenon, a typical example of the topological phase of matter, and the subject of the 2016 Nobel Prize in Physics

Discusses some of the most important universal properties of quantum many-body systems, which can be observed in a broad range of physical systems

Begins with a pedagogical presentation of the necessary background information and leads the reader to subjects of active research, such as topological phases of matter

Detailed and self-contained; all important results are carefully proved, using only undergraduate mathematics

Provides a bridge between researchers in various fields, including condensed matter physics, high-energy physics, quantum information science, and mathematics

With four imaginative illustrations, one for the cover and one for each of the three parts, by Mari Okazaki

The book was published in June 2020.

Illustrations for the three parts of the book by Mari Okazaki

Part I: Long-Range Order and Spontaneous Symmetry Breaking

Part II: Haldane Phenomena and Beyond

Part III: Hubbard Model and the Origin of Magnetism

hal.tasaki@gakushuin.ac.jp