Exact Methods in Low-dimensional Statistical Physics and Quantum Computing: Lecture Notes of the…

Hardcover | May 15, 2010

EditorJesper Jacobsen, Stephane Ouvry, Vincent Pasquier

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Recent years have shown important and spectacular convergences between techniques traditionally used in theoretical physics and methods emerging from modern mathematics (combinatorics, probability theory, topology, algebraic geometry, etc). These techniques, and in particular those oflow-dimensional statistical models, are instrumental in improving our understanding of emerging fields, such as quantum computing and cryptography, complex systems, and quantum fluids. This book sets these issues into a larger and more coherent theoretical context than is currently available. Forinstance, understanding the key concepts of quantum entanglement (a measure of information density) necessitates a thorough knowledge of quantum and topological field theory, and integrable models. To achieve this goal, the lectures were given by international leaders in the fields of exactlysolvable models in low dimensional condensed matter and statistical physics.

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Recent years have shown important and spectacular convergences between techniques traditionally used in theoretical physics and methods emerging from modern mathematics (combinatorics, probability theory, topology, algebraic geometry, etc). These techniques, and in particular those oflow-dimensional statistical models, are instrumental...

Jasper Jacobsen is LPTMS, CNRS, at the Universite Paris Sud, Orsay, France. Dr. Stephane Ouvry is LPTMS, CNRS, at the University Paris Sud, Orsay, France. Dr. Vincent Pasquier is SPhT, CEA, Saclay, France. Didina Serban is SPhT, CEA, Saclay, France. Leticia Cugliandolo is LPTHE at the Universite Paris VI, Paris, France.
Format:HardcoverDimensions:664 pages, 9.69 × 6.73 × 0.98 inPublished:May 15, 2010Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199574618

ISBN - 13:9780199574612

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Table of Contents

Lectures1. I. Affleck: Quantum impurity problems in condensed matter physics2. J. Cardy: Conformal field theory and statistical mechanics3. D. Haldane: Quantum Hall effect4. A. Kitaev: Topological quantum phases and quantum computation5. W. Krauth: Four lectures on computational statistical physics6. B. Nienhuis: Loop models7. N. Reshetikhin: Lectures on the integrability of the 6-vertex model8. W. Werner: Mathematical aspects of 2D phase transitions9. F. Alet: Numerical simulations of quantum statistical mechanics models10. N. Cooper: Rapidly rotating atomic Bose gases11. J. Frohlich: Quantum Hall effect12. R. Kenyon: The dimer model13. I. Kostov: Boundary loop models and 2D quantum gravity14. S. Majumdar: Real-space condensation in stochastic mass transport models15. G. Misguich: Quantum spin liquids16. H. Saleur: Super spin chains and super sigma models: a short introduction17. P. Zinn-Justin: Integrability and combinatorics: selected topicsSeminars18. B. Duplantier: A rigorous perspective on Liouville quantum gravity and KPZ19. M. Feigelman: Topologically protected qubits based on Josepshon junction arrays20. T. Jolicoeur: On some quantum Hall states with negative flux21. D. Thouless: Supersolidity and what soluble models can tell us about it