Exact methods in low-dimensional statistical physics and quantum computing : École d'été de physique des Houches, session LXXXIX, 30 June-1 August 2008, École thématique du CNRS / edited by Jesper Jacobsen ... [et al.].

Oxford : Oxford University Press, 2010.
xxvi, 624 p. : ill. ; 25 cm.
Conference Name:
Ecole d'été de physique théorique (Les Houches, Haute-Savoie, France) (89th : 2008)

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Other Title:
Houches 2008 - session LXXXIX
Statistical physics -- Mathematical models -- Congresses.
Quantum field theory -- Mathematical models -- Congresses.
Quantum statistics -- Congresses.
Quantum computers -- Congresses.
"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."--Publisher's description.
PART I. LONG LECTURES: Quantum impurity problems in condensed matter physics / Ian Affleck
Conformal field theory and statistical mechanics / John Cardy
The quantum Hall effect / F. Duncan and M. Haldane
Topological phases and quantum computation / Alexei Kitaev
Four lectures on computational statistical physics / Werner Krauth
Loop models / Bernard Nienhuis
Lectures on the integrability of the six-vertex model / Nicolai Reshetikhin
Mathematical aspects of 2D phase transitions / Wendelin Werner
PART II. SHORT LECTURES: Numerical simulations of quantum statistical mechanics models / Fabien Alet
Rapidly rotating atomic Bose gases / Nigel R. Cooper
The quantum Hall effect / Jurg Frohlich
The dimer model / Richard Kenyon
Boundary loop models and 2D quantum gravity / Ivan Kostov
Real-space condensation in stochastic mass transport models / Satya N. Majumdar
Quantum spin liquids / Grégoire Misguich
Superspin chains and supersigma models: a short introduction / Hubert Saleur
Integrability and combinatorics: selected topics / Paul Zinn-Justin
PART III. SEMINARS: A rigorous perspective on Liouville quantum gravity and the KPZ relation / Bertrand Duplantier
Topologically protected qubits based on Josepshon junction arrays / Mikhail V. Feigel'man
On some quantum Hall states with negative flux / Thierry Jolicoeur
Supersolidity and what soluble models can tell us about it / David Thouless.
Includes bibliographical references.
Local notes:
Acquired for the Penn Libraries with assistance from the Emma Louise McClellan Fund.
Jacobsen, Jesper.
Emma Louise McClellan Fund.