Quantum Phase Transitions in Transverse Field Spin Models: From Statistical Physics to Quantum Information

Amit Dutta; Gabriel Aeppli; Bikas K. Chakrabarti; Uma Divakaran; Thomas F. Rosenbaum; Diptiman Sen

doi:10.1017/CBO9781107706057

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 Kibble–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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Contents

Appendix D - The Loschmidt Echo for the One-Dimensional XY Model
pp 281-282
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Appendix E - Landau–Zener Tunneling: Calculation of Non-Adiabatic Transition Probability
pp 283-291
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Appendix F - A Note on the Theoretical Studies of Hysteresis
pp 292-294
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References
pp 295-328
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Index
pp 329-330
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Plate Section
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Quantum Phase Transitions in Transverse Field Spin Models

From Statistical Physics to Quantum Information

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Contents

Appendix D - The Loschmidt Echo for the One-Dimensional XY Model
pp 281-282

Appendix E - Landau–Zener Tunneling: Calculation of Non-Adiabatic Transition Probability
pp 283-291

Appendix F - A Note on the Theoretical Studies of Hysteresis
pp 292-294

References
pp 295-328

Index
pp 329-330

Plate Section

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Altmetric attention score

Full text views

Book summary page views

Quantum Phase Transitions in Transverse Field Spin Models

From Statistical Physics to Quantum Information

Book description

Refine List

Actions for selected content:

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Contents

Appendix D - The Loschmidt Echo for the One-Dimensional XY Model pp 281-282

Appendix E - Landau–Zener Tunneling: Calculation of Non-Adiabatic Transition Probability pp 283-291

Appendix F - A Note on the Theoretical Studies of Hysteresis pp 292-294

References pp 295-328

Index pp 329-330

Plate Section

Metrics

Altmetric attention score

Full text views

Book summary page views

Appendix D - The Loschmidt Echo for the One-Dimensional XY Model
pp 281-282

Appendix E - Landau–Zener Tunneling: Calculation of Non-Adiabatic Transition Probability
pp 283-291

Appendix F - A Note on the Theoretical Studies of Hysteresis
pp 292-294

References
pp 295-328

Index
pp 329-330