Quantum Information Meets Quantum Matter: From Quantum Entanglement to Topological Phases of Many-Body Systems
暫譯: 量子資訊與量子物質：從量子糾纏到多體系統的拓撲相

Zeng, Bei, Chen, Xie, Zhou, Duan-Lu

Quantum Information Meets Quantum Matter: From Quantum Entanglement to Topological Phases of Many-Body Systems
  • 出版商: Springer
  • 出版日期: 2019-03-29
  • 售價: $7,870
  • 貴賓價: 9.5 折 $7,477
  • 語言: 英文
  • 頁數: 364
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1493990829
  • ISBN-13: 9781493990825
  • 相關分類: 量子 Quantum

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This book approaches condensed matter physics from the perspective of quantum information science, focusing on systems with strong interaction and unconventional order for which the usual condensed matter methods like the Landau paradigm or the free fermion framework break down. Concepts and tools in quantum information science such as entanglement, quantum circuits, and the tensor network representation prove to be highly useful in studying such systems. The goal of this book is to introduce these techniques and show how they lead to a new systematic way of characterizing and classifying quantum phases in condensed matter systems.

The first part of the book introduces some basic concepts in quantum information theory which are then used to study the central topic explained in Part II: local Hamiltonians and their ground states. Part III focuses on one of the major new phenomena in strongly interacting systems, the topological order, and shows how it can essentially be defined and characterized in terms of entanglement. Part IV shows that the key entanglement structure of topological states can be captured using the tensor network representation, which provides a powerful tool in the classification of quantum phases. Finally, Part V discusses the exciting prospect at the intersection of quantum information and condensed matter physics - the unification of information and matter.

Intended for graduate students and researchers in condensed matter physics, quantum information science and related fields, the book is self-contained and no prior knowledge of these topics is assumed.

商品描述(中文翻譯)

本書從量子資訊科學的角度探討凝聚態物理，專注於具有強相互作用和非常規序的系統，這些系統的常規凝聚態方法如蘭道範式（Landau paradigm）或自由費米子框架（free fermion framework）無法適用。量子資訊科學中的概念和工具，如糾纏（entanglement）、量子電路（quantum circuits）和張量網路表示法（tensor network representation），在研究這些系統時被證明是非常有用的。本書的目標是介紹這些技術，並展示它們如何導致一種新的系統化方法來表徵和分類凝聚態系統中的量子相。

本書的第一部分介紹了一些量子資訊理論中的基本概念，這些概念隨後用於研究第二部分解釋的核心主題：局部哈密頓量（local Hamiltonians）及其基態（ground states）。第三部分專注於強相互作用系統中的一個主要新現象——拓撲序（topological order），並展示如何從糾纏的角度來定義和表徵它。第四部分顯示拓撲態的關鍵糾纏結構可以通過張量網路表示法來捕捉，這為量子相的分類提供了一個強大的工具。最後，第五部分討論了量子資訊與凝聚態物理交匯處的激動人心的前景——資訊與物質的統一。

本書旨在為凝聚態物理、量子資訊科學及相關領域的研究生和研究人員提供自成體系的內容，並不假設讀者具備這些主題的先前知識。

作者簡介

Bei Zeng received the B.Sc. degree in physics and mathematics and M.Sc. degree in physics from Tsinghua University, Beijing, China, in 2002 and 2004, respectively. She received the Ph.D. degree in physics from Massachusetts Institute of Technology (MIT), Cambridge, Massachusetts, USA, in 2009. From 2009 to 2010, she was a postdoctoral fellow at the Institute for Quantum Computing (IQC) and the Department of Combinatorics & Optimization, University of Waterloo, Waterloo, Ontario, Canada. In 2010, she joined the Department of Mathematics & Statistics, University of Guelph, Guelph, Ontario, Canada, as an assistant professor, and promoted to Tenured Associate Professor in 2014 and Professor in 2018.

Xie Chen is an Associate Professor of Theoretical Physics at the California Institute of Technology. Dr. Chen obtained her Ph.D. degree from MIT in 2012 and was a Miller research fellow at the University of California, Berkeley for two years before joining Caltech in 2014. Dr. Chen is interested in studying quantum mechanical systems with a large number of degrees of freedom and how the constituent degrees of freedom cooperate with each other to realize amazing emergent phenomena, both at equilibrium and in dynamical processes. Dr. Chen was awarded the Sloan Research Fellowship and the NSF Faculty Early Career Award in 2017.

Duan-Lu Zhou is a Professor of physics at the Institute of Physics, Beijing National Laboratory for Condensed Matter, Physics, Chinese Academy of Sciences, and also teaches at University of Chinese Academy of Sciences. His main research interest is in quantum physics and quantum information, where he has published 70 academic papers.

Xiao-Gang Wen is a theoretical condensed matter physicist, recognized for his work on introducing the notion topological order (1989) and developing the theories of this new class of quantum states of matter. He is known particularly for his theoretical discovery of perfect conducting 1D chiral Luttinger liquids, Z2 spin liquid with emergent fermion, non-abelian fractional quantum Hall states for topological quantum computation, symmetry protected topological order, and string-net unification of elementary particles and interactions. Since 2000, the study of topological states of matter slowly became a very active new field in condensed matter physics. Wen enter the graduate school of Princeton University in 1982, and earned a Ph.D degree in the field of superstring theory under Prof. Witten. During his postdoctoral period (1987-1989) in ITP, Santa Barbara, he started to pursue research in condensed matter physics. After a two-years stay in IAS, Princeton, he joined the faculty of department of Physics, MIT in 1991. He was a Distinguished Moore Scholar at Caltech (2006). Newton Chair at Perimeter Institute for Theoretical Physics (2012 - 2014). He was awarded Oliver E. Buckley Condensed Matter Prize by APS in 2017, and Dirac Medal by ICTP in 2018. He is a Cecil and Ida Green Professor of Physics at MIT since 2004, and became a member of National Academy of Science in 2018.


作者簡介(中文翻譯)

Bei Zeng於2002年和2004年分別在中國北京的清華大學獲得物理學和數學的學士學位及物理學的碩士學位。她於2009年在美國麻省理工學院（MIT）獲得物理學博士學位。從2009年到2010年，她在加拿大安大略省滑鐵盧的滑鐵盧大學量子計算研究所（IQC）及組合優化系擔任博士後研究員。2010年，她加入加拿大安大略省圭爾夫大學數學與統計系擔任助理教授，並於2014年晉升為終身副教授，2018年晉升為教授。

Xie Chen是加州理工學院的理論物理副教授。陳博士於2012年在MIT獲得博士學位，並在2014年加入加州理工學院之前，曾在加州大學伯克利分校擔任米勒研究員兩年。陳博士的研究興趣在於研究具有大量自由度的量子力學系統，以及這些自由度如何相互合作以實現驚人的湧現現象，無論是在平衡狀態還是在動態過程中。陳博士於2017年獲得斯隆研究獎學金和美國國家科學基金會（NSF）早期職業獎。

Duan-Lu Zhou是中國科學院北京凝聚態物理國家實驗室的物理學教授，同時也在中國科學院大學任教。他的主要研究興趣在於量子物理和量子信息，已發表70篇學術論文。

Xiao-Gang Wen是一位理論凝聚態物理學家，以引入拓撲序（1989年）和發展這一新類量子態理論而聞名。他特別以理論發現完美導電的1D手性Luttinger液體、具有湧現費米子的Z2自旋液體、用於拓撲量子計算的非阿貝爾分數量子霍爾態、對稱保護的拓撲序以及基本粒子和相互作用的弦網統一而聞名。自2000年以來，拓撲物質狀態的研究逐漸成為凝聚態物理學中一個非常活躍的新領域。Wen於1982年進入普林斯頓大學研究所攻讀研究生，並在Witten教授的指導下獲得超弦理論領域的博士學位。在1987年至1989年的博士後期間，他在聖巴巴拉的ITP開始追求凝聚態物理的研究。經過在普林斯頓的IAS待了兩年後，他於1991年加入MIT物理系的教職。2006年，他是加州理工學院的傑出摩爾學者。2012年至2014年擔任邊界理論物理研究所的牛頓講座教授。他於2017年獲得美國物理學會的Oliver E. Buckley凝聚態獎，並於2018年獲得ICTP的Dirac獎。他自2004年以來是MIT的Cecil和Ida Green物理學教授，並於2018年成為美國國家科學院的成員。

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