Quantum Phase Transitions in Transverse Field Spin Models
eBook - PDF

Quantum Phase Transitions in Transverse Field Spin Models

From Statistical Physics to Quantum Information

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Quantum Phase Transitions in Transverse Field Spin Models

From Statistical Physics to Quantum Information

About this book

The transverse field Ising and XY models (the simplest quantum spin models) provide the organising principle for the rich variety of interconnected subjects which are covered in this book. From a generic introduction to in-depth discussions of the subtleties of the transverse field Ising and related models, it includes the essentials of quantum dynamics and quantum information. A wide range of relevant topics has also been provided: quantum phase transitions, various measures of quantum information, the effects of disorder and frustration, quenching dynamics and the Kibbleā€“Zurek scaling relation, the Kitaev model, topological phases of quantum systems, and bosonisation. In addition, it also discusses the experimental studies of transverse field models (including the first experimental realisation of quantum annealing) and the recent realisation of the transverse field Ising model using tunable Josephson junctions. Further, it points to the obstacles still remaining to develop a successful quantum computer.

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Yes, you can access Quantum Phase Transitions in Transverse Field Spin Models by Amit Dutta,Gabriel Aeppli,Bikas K. Chakrabarti,Uma Divakaran,Thomas F. Rosenbaum,Diptiman Sen in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Quantum Theory. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Dedication
  5. Contents
  6. List of Figures
  7. List of Tables
  8. Preface
  9. Acknowledgements
  10. I An Introduction to Quantum Phase Transitions, Information and Dynamics
  11. II Transverse Field Models: Statics
  12. III Transverse Field and Related Models: Non-Equilibrium Dynamics
  13. IV Experimental Realizations of Transverse Field Models
  14. V Quantum Annealing and Adiabatic Quantum Computations Using Transverse Field Models
  15. Appendix A Derivation of a Matrix Product Hamiltonian
  16. Appendix B From Jordanā€“Wigner to Bosonization: Tomonagaā€“Luttinger Liquids
  17. Appendix C Calculation of the Entanglement Entropy for a Transverse Ising Chain
  18. Appendix D The Loschmidt Echo for the One-Dimensional XY Model
  19. Appendix E Landauā€“Zener Tunneling: Calculation of Non-Adiabatic Transition Probability
  20. Appendix F A Note on the Theoretical Studies of Hysteresis
  21. Bibilography
  22. Index