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Quantum Quenching, Annealing and Computation

  • Book
  • © 2010

Overview

Editors:
  1. Anjan Kumar Chandra

    1. Centre for Applied Mathematics &, Computational Science, Saha Institute of Nuclear Physics, Kolkata, India

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  2. Arnab Das

    1. Theoretical Physics (ICTP), Abdus Salam International Centre for, Trieste, Italy

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    You can also search for this editor in PubMed   Google Scholar

  3. Bikas K. Chakrabarti

    1. Centre for Applied Mathematics &, Computational Science, Saha Institute of Nuclear Physics, Kolkata, India

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Part of the book series: Lecture Notes in Physics (LNP, volume 802)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xi
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  2. Quantum Approach to Classical Thermodynamics and Optimization

    • R.D. Somma, G. Ortiz
    Pages 1-20

  3. Non-equilibrium Dynamics of Quantum Systems: Order Parameter Evolution, Defect Generation, and Qubit Transfer

    • S. Mondal, D. Sen, K. Sengupta
    Pages 21-56

  4. Defect Production Due to Quenching Through a Multicritical Point and Along a Gapless Line

    • U. Divakaran, V. Mukherjee, A. Dutta, D. Sen
    Pages 57-73

  5. Adiabatic Perturbation Theory: From Landau–Zener Problem to Quenching Through a Quantum Critical Point

    • C. De Grandi, A. Polkovnikov
    Pages 75-114

  6. Quench Dynamics of Quantum and Classical Ising Chains: From the Viewpoint of the Kibble–Zurek Mechanism

    • S. Suzuki
    Pages 115-143

  7. Quantum Phase Transition in the Spin Boson Model

    • S. Florens, D. Venturelli, R. Narayanan
    Pages 145-162

  8. Influence of Local Moment Fluctuations on the Mott Transition

    • C. Janani, S. Florens, T. Gupta, R. Narayanan
    Pages 163-175

  9. Signatures of Quantum Phase Transitions via Quantum Information Theoretic Measures

    • I. Bose, A. Tribedi
    Pages 177-200

  10. How Entangled Is a Many-Electron State?

    • V. Subrahmanyam
    Pages 201-214

  11. Roles of Quantum Fluctuation in Frustrated Systems – Order by Disorder and Reentrant Phase Transition

    • S. Tanaka, M. Hirano, S. Miyashita
    Pages 215-234

  12. Exploring Ground States of Quantum Spin Glasses by Quantum Monte Carlo Method

    • A.K. Chandra, A. Das, J. Inoue, B.K. Chakrabarti
    Pages 235-249

  13. Phase Transition in a Quantum Ising Model with Long-Range Interaction

    • A. Ganguli, S. Dasgupta
    Pages 251-266

  14. Length Scale-Dependent Superconductor–Insulator Quantum Phase Transitions in One Dimension: Renormalization Group Theory of Mesoscopic SQUIDs Array

    • S. Sarkar
    Pages 267-282

  15. Quantum-Mechanical Variant of the Thouless–Anderson–Palmer Equation for Error-Correcting Codes

    • J. Inoue, Y. Saika, M. Okada
    Pages 283-295

  16. Probabilistic Model of Fault Detection in Quantum Circuits

    • A. Banerjee, A. Pathak
    Pages 297-304

  17. Back Matter

    Pages 305-307
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Keywords

About this book

The process of realizing the ground state of some typical (frustrated) quantum many-body systems, starting from the ‘disordered’ or excited states, can be formally mapped to the search of solutions for computationally hard problems. The dynamics through the critical point, in between, are therefore extremely crucial. In the context of such computational optimization problems, the dynamics (of rapid quenching or slow annealing), while tuning the appropriate elds or uctuations, in particular while crossing the quantum critical point, are extremely intriguing and are being investigated these days intensively. Several successful methods and tricks are now well established. This volume gives a collection of introductory reviews on such developments written by well-known experts. It concentrates on quantum phase transitions and their dynamics as the transition or critical points are crossed. Both the quenching and annealing dynamics are extensively covered. We hope these timely reviews will inspire the young researchers to join and c- tribute to this fast-growing, intellectually challenging, as well as technologically demanding eld. We are extremely thankful to the contributors for their intensive work and pleasant cooperations. We are also very much indebted to Kausik Das for his help in compiling this book. Finally, we express our gratitude to Johannes Zittartz, Series Editor, LNP, and Christian Caron of physics editorial department of Springer for their encouragement and support.

Editors and Affiliations

  • Centre for Applied Mathematics &, Computational Science, Saha Institute of Nuclear Physics, Kolkata, India

    Anjan Kumar Chandra, Bikas K. Chakrabarti

  • Theoretical Physics (ICTP), Abdus Salam International Centre for, Trieste, Italy

    Arnab Das

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