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Showing papers by "Uma Divakaran published in 2015"


Book
01 Jan 2015
TL;DR: The transverse field Ising and XY models (the simplest quantum spin models) provide the organizing principle for the rich variety of interconnected subjects which are covered in this book as mentioned in this paper, including the essentials of quantum dynamics and quantum information.
Abstract: 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

195 citations





Journal ArticleDOI
TL;DR: In this paper, the authors studied the effect of two simultaneous local quenches on the evolution of Loschmidt echo and entanglement entropy of a one dimensional transverse Ising model.
Abstract: We study the effect of two simultaneous local quenches on the evolution of Loschmidt echo and entanglement entropy of a one dimensional transverse Ising model. In this work, one of the local quenches involves the connection of two spin-1/2 chains at a certain time and the other local quench corresponds to a sudden change in the magnitude of the transverse field at a given site in one of the spin chains. We numerically calculate the dynamics associated with the Loschmidt echo and the entanglement entropy as a result of such double quenches, and discuss various timescales involved in this problem using the picture of quasiparticles generated as a result of such quenches.

4 citations