Exact Methods in Low-dimensional Statistical Physics and Quantum Computing

Exact Methods in Low-dimensional Statistical Physics and Quantum Computing PDF

Author: Stephane Ouvry

Publisher: Oxford University Press

Published: 2010-04-22

Total Pages: 651

ISBN-13: 0199574618

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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 of lectures by international leaders in the field sets these issues into a larger and more coherent theoretical perspective than is currently available.

Exact Methods in Low-dimensional Statistical Physics and Quantum Computing

Exact Methods in Low-dimensional Statistical Physics and Quantum Computing PDF

Author: Jesper Jacobsen

Publisher: OUP Oxford

Published: 2010-04-22

Total Pages: 664

ISBN-13: 0191574449

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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 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.

Fractional Statistics And Quantum Theory (2nd Edition)

Fractional Statistics And Quantum Theory (2nd Edition) PDF

Author: Avinash Khare

Publisher: World Scientific

Published: 2005-02-02

Total Pages: 316

ISBN-13: 9814480967

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This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced researchers with a reasonable background in quantum and statistical mechanics.Topics in the first part of the book include the flux tube model of anyons, the braid group and a detailed discussion about the various aspects of quantum and statistical mechanics of a noninteracting anyon gas.The second part of the book includes a detailed discussion about fractional statistics from the point of view of Chern-Simons theories. Topics covered here include Chern-Simons field theories, charged vortices, anyon superconductivity and the fractional quantum Hall effect.Since the publication of the first edition of the book, an exciting possibility has emerged, that of quantum computing using anyons. A section has therefore been included on this topic in the second edition. In addition, new sections have been added about scattering of anyons with hard disk repulsion as well as fractional exclusion statistics and negative probabilities.

Quantum Information Theory and Quantum Statistics

Quantum Information Theory and Quantum Statistics PDF

Author: Dénes Petz

Publisher: Springer

Published: 2010-11-30

Total Pages: 0

ISBN-13: 9783642094095

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This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the reader for deeper studies, not least through a selection of well chosen exercises.

Low-Dimensional Models in Statistical Physics and Quantum Field Theory

Low-Dimensional Models in Statistical Physics and Quantum Field Theory PDF

Author: Harald Grosse

Publisher: Springer

Published: 1996-03-18

Total Pages: 364

ISBN-13:

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This book contains thoroughly written reviews of modern developments in low-dimensional modelling of statistical mechanics and quantum systems. It addresses students as well as researchers. The main items can be grouped into integrable (quantum) spin systems, which lead in the continuum limit to (conformal invariant) quantum field theory models and their algebraic structures, ranging from the Yang-Baxter equation and quantum groups to noncommutative geometry.

Low-Dimensional Models in Statistical Physics and Quantum Field Theory

Low-Dimensional Models in Statistical Physics and Quantum Field Theory PDF

Author: Harald Grosse

Publisher: Springer

Published: 2013-11-13

Total Pages: 341

ISBN-13: 9783662140680

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This book contains thoroughly written reviews of modern developments in low-dimensional modelling of statistical mechanics and quantum systems. It addresses students as well as researchers. The main items can be grouped into integrable (quantum) spin systems, which lead in the continuum limit to (conformal invariant) quantum field theory models and their algebraic structures, ranging from the Yang-Baxter equation and quantum groups to noncommutative geometry.

Exact Methods in Low-dimensional Statistical Physics and Quantum Computing

Exact Methods in Low-dimensional Statistical Physics and Quantum Computing PDF

Author: Jesper Jacobsen

Publisher: OUP Oxford

Published: 2010-04-22

Total Pages: 664

ISBN-13: 9780199574612

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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 of lectures by international leaders in the field sets these issues into a larger and more coherent theoretical perspective than is currently available.

Interface Between Quantum Information and Statistical Physics

Interface Between Quantum Information and Statistical Physics PDF

Author: Mikio Nakahara

Publisher: World Scientific

Published: 2013

Total Pages: 278

ISBN-13: 9814425281

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This book is a collection of contributions to the Symposium on Interface between Quantum Information and Statistical Physics held at Kinki University in November 2011. Subjects of the symposium include quantum adiabatic computing, quantum simulator using bosons, classical statistical physics, among others. Contributions to this book are prepared in a self-contained manner so that a reader with a modest background may understand the subjects.

Active Matter and Nonequilibrium Statistical Physics

Active Matter and Nonequilibrium Statistical Physics PDF

Author: Julien Tailleur

Publisher: Oxford University Press

Published: 2022-11-01

Total Pages: 673

ISBN-13: 0192674099

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From molecular motors to bacteria, from crawling cells to large animals, active entities are found at all scales in the biological world. Active matter encompasses systems whose individual constituents irreversibly dissipate energy to exert self-propelling forces on their environment. Over the past twenty years, scientists have managed to engineer synthetic active particles in the lab, paving the way towards smart active materials. This book gathers a pedagogical set of lecture notes that cover topics in nonequilibrium statistical mechanics and active matter. These lecture notes stem from the first summer school on Active Matter delivered at the Les Houches school of Physics. The lectures covered four main research directions: collective behaviours in active-matter systems, passive and active colloidal systems, biophysics and active matter, and nonequilibrium statistical physics—from passive to active.

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