量子相变

量子相变

(美) 萨奇德夫 (Sachdev,S.) , 著

出版社:世界图书出版公司北京公司

年代:2014

定价:119.0

书籍简介:

这是第一本系统介绍量子相变理论的专著,其中部分内容也可作研究生教材。本书内容新颖,涉及凝聚态物理学中广泛关注的许多重要问题。本书叙述简明,将理论模型的阐述与最新实验结果的介绍密切结合。书中着重描写和阐述存在量子相变的一些最简单的相互作用系统的物理性质。全书大部分均忽略了无序效应,而把注意力集中在这样一些系统在非零温度下的动力学性质,深入讨论了以非弹性碰撞为主的量子动力学及输运过程。目次:㈠ 绪言:⒈基本概念;⒉映射到经典统计力学:单格点模型;⒊综述。㈡ 量子伊辛模型和转子模型:⒋横场中的伊辛

书籍目录:

From the Preface to the first edition page xiii

Preface to the second edition xvii

Part I Introduction

1 Basic concepts

1.1 What is a quantum phase transition?

1.2 Nonzero temperature transitions and crossovers

1.3 Experimental examples

1.4 Theoretical models

1.4.1 Quantum Ising model

1.4.2 Quantum rotor model l

1.4.3 Physical realizations of quantum rotors

2 Overview

2.1 Quantum field theories

2.2 What's different about quantum transitions?

Part II A first course

3 Classical phase transitions

3.1 Mean-field theory

3.2 Landau theory

3.3 Fluctuations and perturbation theory

3.3.1 Gaussian integrals

3.3.2 Expansion for susceptibility

Exercises

4 The renormalization group

4.1 Gaussian theory

4.2 Momentum shell RG

4.3 Field renormalization

4.4 Correlation functions

Exercises

5 The quantum Ising model

5.1 Effective Hamiltonian method

5.2 Large-g expansion

5.2.1 One.particle states

5.2.2 TwO-particle states

5.3 Small-g expansion

5.3.1 d=

5.3.2 d=

5.4 Review

5.5 The classical Ising chain

5.5.1 The scaling limit

5.5.2 Universality

5.5.3 Mapping to a quantum model:Ising spin in a transverse field

5.6 Mapping of the quantum Ising chain to a classical Ising model Exercises

6 The quantum rotor modeI

6.1 Large-g expansion

6.2 Small-g expansion

6.3 The classical X Y chain and an O(2)quantum rotor

6.4 The classical Heisenberg chain and an O(3)quantum rotor

6.5 Mapping to classical field theories

6.6 Spectrum of quantum field theory

6.6.1 Paramagnet

6.6.2 Quantum critical point

6.6.3 Magnetic order

Exercises

7 Correlations,susceptibilities,and the quantum critical point

7.1 Spectral representation

7.1.1 Structure factor

7.1.2 Linear response

7.2 Correlations across the quantum critical point

7.2.1 Paramagnet

7.2.2 Quantum critical point

7.2.3 Magnetic order

Exercises

8 Broken symmetries

8.1 Discrete symmetry and surface tension

8.2 Continuous symmetry and the helicity modulus

8.2.1 0rder parameter correlations

8.3 The London equation and the superfluid density

8.3.1 The rotor model

Exercises

9 Boson Hubbard modeI

9.1 Mean-field theory

9.2 Coherent state path integral

9.2.1 Boson coherent states

9.3 Continuum quantum field theories

Exercises

Part ⅢNonzero temperatures

10 The Ising chain in a transverse field

10.1 Exact spectrum

10.2 Continuum theory and scaling transformations

10.3 Equal-time correlations of the order parameter

10.4 Finite temperature crossovers

10.4.1 Low T on the magnetically ordered side,△>0,T《△

10.4.2 Low T on the quantum paramagnetic side,△<0,T《「△」

10.4.3 Continuum high T,T》「△」

10.4.4 Summary

11 Quantum rotor models:large-N Iimit

11.1 Continuum theory and large-N limit

11.2 Zero temperature

11.2.1 Quantum paramagnet,g>gc

11.2.2 Critical point,g=gc

11.2.3 Magnetically ordered ground state,g<gc

11.3 Nonzero temperatures

11.3.1 Low T on the quantum paramagnetic side,g>gc,T《△+

11.3.2 High T,T》△+,△-

11.3.3 Low T on the magnetically ordered side,g<gf,T《△-

11.4 Numerical studies

12 Thed=1,0(N≥3)rotormodels

12.1 Scaling analysis at zero temperature

12.2 Low-temperature limit of the continuum theory,T《△+

……

Part Ⅳ Other models

内容摘要:

《量子相变(第2版)(英文版)》讲述量子相变是物质的量子相在零温下的一种相变。相比于经典相变,量子相变可以仅通过在绝对零度下改变一些物理参数(如磁场或压力)就可以实现。量子相变描述量子涨落导致的多体系统基态的突变,这可以是一个二级相变。在相变现象中,大量微观粒子的相互作用与热或量子涨落的竞争起到核心的作用,而相变的行为通常具有普适性,又与相互作用的细节无关。

书籍规格:

书籍详细信息
书名量子相变站内查询相似图书
9787510084478
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出版地北京出版单位世界图书出版公司北京公司
版次影印本印次1
定价(元)119.0语种英文
尺寸26 × 19装帧平装
页数印数

书籍信息归属:

量子相变是世界图书出版公司北京公司于2014.8出版的中图分类号为 O4 的主题关于 量子-相变-研究-英文 的书籍。