Lecture Notes in Physics

Quantum Ising Phases and Transitions in Transverse Ising Models

Authors: Suzuki, Sei, Inoue, Jun-ichi, Chakrabarti, Bikas K.

  • Authored by leading researchers in the field
  • Self-contained, comprehensive and up-to-date coverage of the subject matter
  • Useful as graduate-level text and reference 
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About this book

Quantum phase transitions, driven by quantum fluctuations, exhibit intriguing features offering the possibility of potentially new applications, e.g. in quantum information sciences. Major advances have been made in both theoretical and experimental investigations of the nature and behavior of quantum phases and transitions in cooperatively interacting many-body quantum systems.

 For modeling purposes, most of the current innovative and successful research in this field has been obtained by either directly or indirectly using the insights provided by quantum (or transverse field) Ising models because of the separability of the cooperative interaction from the tunable transverse field or tunneling term in the relevant Hamiltonian. Also, a number of condensed matter systems can be modeled accurately in this approach, hence granting the possibility to compare advanced models with actual experimental results.

 This work introduces these quantum Ising models and analyses them both theoretically and numerically in great detail. With its tutorial approach the book addresses above all young researchers who wish to enter the field and are in search of a suitable and self-contained text, yet it will also serve as a valuable reference work for all active researchers in this area.

  

About the authors

Quantum phase transitions, driven by quantum fluctuations, exhibit intriguing features offering the possibility of potentially new applications, e.g. in quantum information sciences. Major advances have been made in both theoretical and experimental investigations of the nature and behavior of quantum phases and transitions in cooperatively interacting many-body quantum systems.

 For modeling purposes, most of the current innovative and successful research in this field has been obtained by either directly or indirectly using the insights provided by quantum (or transverse field) Ising models because of the separability of the cooperative interaction from the tunable transverse field or tunneling term in the relevant Hamiltonian. Also, a number of condensed matter systems can be modeled accurately in this approach, hence granting the possibility to compare advanced models with actual experimental results.

 This work introduces these quantum Ising models and analyses them both theoretically and numerically in great detail. With its tutorial approach the book addresses above all young researchers who wish to enter the field and are in search of a suitable and self-contained text, yet it will also serve as a valuable reference work for all active researchers in this area.

Table of contents (11 chapters)

  • Introduction

    Suzuki, Sei (et al.)

    Pages 1-11

  • Transverse Ising Chain (Pure System)

    Suzuki, Sei (et al.)

    Pages 13-46

  • Transverse Ising System in Higher Dimensions (Pure Systems)

    Suzuki, Sei (et al.)

    Pages 47-71

  • ANNNI Model in Transverse Field

    Suzuki, Sei (et al.)

    Pages 73-103

  • Dilute and Random Transverse Ising Systems

    Suzuki, Sei (et al.)

    Pages 105-122

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-33039-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.95
price for USA
  • ISBN 978-3-642-33038-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Ising Phases and Transitions in Transverse Ising Models
Authors
Series Title
Lecture Notes in Physics
Series Volume
862
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Distribution Rights
:
eBook ISBN
978-3-642-33039-1
DOI
10.1007/978-3-642-33039-1
Softcover ISBN
978-3-642-33038-4
Series ISSN
0075-8450
Edition Number
2
Number of Pages
XI, 403
Number of Illustrations and Tables
117 b/w illustrations
Additional Information
Originally published as volume 41 in the series: Lecture Notes in Physics m
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