The Two-Dimensional Ising Model
The Two-Dimensional Ising Model

Author: Barry M. McCoy

Publisher: Courier Corporation

Published: 2014-03-05

Total Pages: 484

ISBN-13: 048678312X

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Originally published in 1973, this is the definitive book on the Ising model, a mathematical model of ferromagnetism in statistical mechanics. This updated edition of the classic text features an extensive section on new developments.

Introduction to Topological Quantum Computation
Introduction to Topological Quantum Computation

Author: Jiannis K. Pachos

Publisher: Cambridge University Press

Published: 2012-04-12

Total Pages: 220

ISBN-13: 1139936689

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Combining physics, mathematics and computer science, topological quantum computation is a rapidly expanding research area focused on the exploration of quantum evolutions that are immune to errors. In this book, the author presents a variety of different topics developed together for the first time, forming an excellent introduction to topological quantum computation. The makings of anyonic systems, their properties and their computational power are presented in a pedagogical way. Relevant calculations are fully explained, and numerous worked examples and exercises support and aid understanding. Special emphasis is given to the motivation and physical intuition behind every mathematical concept. Demystifying difficult topics by using accessible language, this book has broad appeal and is ideal for graduate students and researchers from various disciplines who want to get into this new and exciting research field.

Supersymmetry in Disorder and Chaos
Supersymmetry in Disorder and Chaos

Author: Konstantin Efetov

Publisher: Cambridge University Press

Published: 1999-09-13

Total Pages: 470

ISBN-13: 9780521663823

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This book provides a comprehensive treatment of the ideas and applications of supersymmetry.

Dissipative Phase Transitions
Dissipative Phase Transitions

Author: Pierluigi Colli

Publisher: World Scientific

Published: 2006-03-06

Total Pages: 321

ISBN-13: 9814478652

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Phase transition phenomena arise in a variety of relevant real world situations, such as melting and freezing in a solid-liquid system, evaporation, solid-solid phase transitions in shape memory alloys, combustion, crystal growth, damage in elastic materials, glass formation, phase transitions in polymers, and plasticity.The practical interest of such phenomenology is evident and has deeply influenced the technological development of our society, stimulating intense mathematical research in this area.This book analyzes and approximates some models and related partial differential equation problems that involve phase transitions in different contexts and include dissipation effects.

Quantum Theory of Condensed Matter
Quantum Theory of Condensed Matter

Author: Bertrand I. Halperin

Publisher: World Scientific

Published: 2010

Total Pages: 261

ISBN-13: 9814304468

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Ever since 1911, the Solvay Conferences have shaped modern physics. The 24th edition chaired by Bertrand Halperin did not break the tradition. Held in October 2008, it gathered in Brussels most of the leading figures working on the ?quantum theory of condensed matter?, addressing some of the most profound open problems in the field. The proceedings contain the ?rapporteur talks? giving a broad overview with unique insights by distinguished renowned scientists. These lectures cover the five sessions treating: mesoscopic and disordered systems; exotic phases and quantum phase transitions in model systems; experimentally realized correlated-electron materials; quantum Hall systems, and one-dimensional systems; systems of ultra-cold atoms, and advanced computational methods. In the Solvay tradition, the proceedings include also the prepared comments to the rapporteur talks. The discussions among the participants ? some of which are quite lively and involving dramatically divergent points of view ? have been carefully edited and reproduced in full.