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Quantum Phase Transitions in Transverse Field Spin Models

Quantum Phase Transitions in Transverse Field Spin Models

From Statistical Physics to Quantum Information
Amit Dutta , Indian Institute of Technology, Kanpur
Gabriel Aeppli , University College London
Bikas K. Chakrabarti , Saha Institute of Nuclear Physics, India
Uma Divakaran , Indian Institute of Technology, Kanpur
Thomas F. Rosenbaum , University of Chicago
Diptiman Sen , Indian Institute of Science, Bangalore
December 2015
Available
Hardback
9781107068797
$128.99
USD
Hardback
USD
eBook

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.

  • Discusses the experimental studies of transverse field models
  • Includes the essentials of quantum dynamics and quantum information
  • Provides the recent realisation of the transverse field Ising model using tunable Josephson junctions
  • Points to future directions of research in non-equilibrium quantum dynamics

Product details

December 2015
Hardback
9781107068797
360 pages
247 Ă— 185 Ă— 24 mm
0.81kg
Available

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.