Jesper Jacobsen, Stephane Ouvry, Vincent Pasquier

Exact Methods in Low-Dimensional Statistical Physics and Quantum Computing

Lecture Notes of the Les Houches Summer School: Volume 89, July 2008
Ed. by Jesper Jacobsen, Stephan Ouvry, Vincent Pasquier et al.

• Gebundenes Buch

Produktbeschreibung

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 of low-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. For instance, 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 exactly solvable models in low dimensional condensed matter and statistical physics.

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Produktdetails

• Lecture Notes of the Les Houches Summer School
• Verlag: Oxford University Press
• Seitenzahl: 652
• Erscheinungstermin: 18. Juni 2010
• Englisch
• Abmessung: 246mm x 168mm x 38mm
• Gewicht: 1433g
• ISBN-13: 9780199574612
• ISBN-10: 0199574618
• Artikelnr.: 29424802

Inhaltsangabe

* LECTURES
* 1: I. Affleck: Quantum impurity problems in condensed matter physics
* 2: J. Cardy: Conformal field theory and statistical mechanics
* 3: D. Haldane: Quantum Hall effect
* 4: A. Kitaev: Topological quantum phases and quantum computation
* 5: W. Krauth: Four lectures on computational statistical physics
* 6: B. Nienhuis: Loop models
* 7: N. Reshetikhin: Lectures on the integrability of the 6-vertex
model
* 8: W. Werner: Mathematical aspects of 2D phase transitions
* 9: F. Alet: Numerical simulations of quantum statistical mechanics
models
* 10: N. Cooper: Rapidly rotating atomic Bose gases
* 11: J. Frohlich: Quantum Hall effect
* 12: R. Kenyon: The dimer model
* 13: I. Kostov: Boundary loop models and 2D quantum gravity
* 14: S. Majumdar: Real-space condensation in stochastic mass transport
models
* 15: G. Misguich: Quantum spin liquids
* 16: H. Saleur: Super spin chains and super sigma models: a short
introduction
* 17: P. Zinn-Justin: Integrability and combinatorics: selected topics
* SEMINARS
* 18: B. Duplantier: A rigorous perspective on Liouville quantum
gravity and KPZ
* 19: M. Feigelman: Topologically protected qubits based on Josepshon
junction arrays
* 20: T. Jolicoeur: On some quantum Hall states with negative flux
* 21: D. Thouless: Supersolidity and what soluble models can tell us
about it