Preface
Acknowledgments
Part Ⅰ：Introduction
1 Basic Concepts
1.1 What Is a Quantum Phase Transiton?
1.2 Quanutm Versus Classical Phase Transiton
1.2 Experimental Examples
1.4 Theoretical Models
1.4.1 Quantum Ising Model
1.4.2 Quantum Rotor Model
2 The Mapping to Classical Statistical Mechanics:Single-Site Models
2.1 The Classical Ising Chain
2.1.1 The Scaling Limit
2.1.2 Universality
2.1.3 Mapping to a Quantum Moeld:Ising Spin in a Transverse Field
2.2 The Classical XY Chain and on O(2) Quantum Rotor
2.3 The Classical Heisenberg Chain and an O(3)Quantum Rotor
3 Overview
3.1 Quantum Field Theories
3.2 What's Different About Quantum Transition?
Part Ⅱ：Quantum Ising and Rotor Models
4 The Ising Chain in a Transverse Field
4.1 Limiting Cases at T=0
4.1.1 Strong Coupling,g≥1
4.1.2 Weak Coupling,g≤1
4.2 Exact Spectrum
4.3 Continuum Theory and Scaling Tranformations
……
Part Ⅲ：Other Models
References
Index
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