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Full Description
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.
Contents
List of tables; 1. Quantum phase transitions; 2. Information theoretic measures close to a quantum critical point; 3. Non-equilibrium dynamics across quantum critical points; 4. Transverse Ising models in higher dimensions; 5. Transverse field models in one dimension; 6. Quantum phase transitions in related models; 7. Role of quenched disorder; 8. Related models with frustration; 9. Quantum information theoretic measures: transverse field and related models; 10. Non-equilibrium dynamics across quantum critical points: slow quenching; 11. Further studies on non-equilibrium dynamics; 12. Quenching and quantum information; 13. Some very recent developments in information and dynamics; 14. Experimental realisations of transverse field Ising systems; 15. Adiabatic quantum computations and transverse field models; 16. Concluding comments; Appendices; Notes; References; Index.
