Titlebook: Quantum Ising Phases and Transitions in Transverse Ising Models; Sei Suzuki,Jun-ichi Inoue,Bikas K. Chakrabarti Book 2013Latest edition Sp

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Transverse Ising System in Higher Dimensions (Pure Systems), mentioning the mapping of a .-dimensional transverse Ising model to a (.+1)-dimensional classical Ising model, called the Suzuki-Trotter formalism. On the basis of this formalism, this chapter mentions numerical and analytical arguments on the pure transverse Ising models in two and three dimension

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Dynamics of Quantum Ising Systems,se Ising models have played a significant role in the study of the dynamics of quantum many-body systems. Chapter 7 exclusively discusses the dynamics of transverse Ising models. The first part mentions dynamical properties of transverse Ising models without explicit time dependence, where the tunne

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Quantum Annealing, of a strong transverse field to an Ising model which encodes an optimisation problem, and weakening the transverse field with time. When the transverse field vanishes, one reads out the solution from the final state. Quantum annealing has attracted much attentions as one of the algorithms of quantu

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Applications,associative memory, the image restoration, the pattern recognition, and etc. As a natural extension of the statistical mechanical model of information processing, one can consider a quantum mechanical model of information processing using transverse Ising models. Chapter 9 discusses such an applicat

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Related Models,rse field is another simplest model, except the transverse Ising model, that exhibits a zero-temperature quantum phase transition. It also gives the pseudo-spin representation of the BCS Hamiltonian of the superconductivity. The spin-1/2 transverse XY chain can be diagonalised by using the Jordan-Wi

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0075-8450 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, y978-3-642-33038-4978-3-642-33039-1Series ISSN 0075-8450 Series E-ISSN 1616-6361

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