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´This self-contained book introduces quantum Ising models, which have proven useful in research into quantum phase transitions. Uses a tutorial approach that analyzes them both theoretically and numerically in great detail.

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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.

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Introduction.- Transverse Ising Chain (Pure System).- Transverse Ising System in Higher Dimensions (Pure Systems).- ANNNI Model in Transverse Field.- Dilute and Random Transverse Ising Systems.- Transverse Ising Spin Glass and Random Field Systems.- Dynamics of Quantum Ising Systems.- Quantum Annealing.- Applications.- Related Models.- Brief Summary and Outlook.- Index.

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