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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