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

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.

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.

Amit Dutta holds a PhD from the Saha Institute of Nuclear Physics, Kolkata. After postdoctoral experience at the Max Planck Institute for the Physics of Complex Systems in Dresden, Germany, and at Wuerzburg University, Germany, he joined the Indian Institute of Technology, Kanpur, in 2003, where he is currently a professor. He has written several highly cited papers on quantum phase transitions, quantum non-equilibrium dynamics and quantum information, and coauthored Quantum Ising Phases and Transitions in Transverse Ising Models (1996). He is a regular associate of the Abdus Salam International Center for Theoretical Physics, Trieste, Italy.
Gabriel Aeppli is Quain Professor of Physics and Director at the London Centre for Nanotechnology. Prior to taking up these positions in the autumn of 2002, he was a Senior Research Scientist for NEC (Princeton), a Distinguished Member of Technical Staff at Bell Laboratories, a Research Assistant at the Massachusetts Institute of Technology, and an industrial co-op student at IBM. He holds a BSc in Mathematics and a PhD from the Massachusetts Institute of Technology. His honours include Fellowship of the Royal Society (2010), the IOP (Institute of Physics) Mott Prize (2008), the APS Oliver Buckley Prize (2005), the IUPAP Magnetism Prize/Neel Medal (2003), a Riso National Laboratory Fellowship (2002), the Royal Society Wolfson Research Merit Award (2002), the post of Mildner Lecturer at the Department of Electronic and Electrical Engineering, University College London (2002), Fellowship of the American Physical Society (1997) and Fellowship of the Japan Society for the Promotion of Science (1996). In addition, he has been a member and chairman of many panels, sponsored by the USDOE, the American Physical Society, EPSRC, and the National Research Council (US), among others. His personal research is currently focused on quantum information processing, magnetism, superconductivity, and the implications of nanotechnology for inf