Book

Quantum Theory from Small to Large Scales

Edited by Jürg Frohlich, Manfred Salmhofer, Vieri Mastropietro, Wojciech De Roeck and Leticia F. Cugliandolo

Published in print May 2012 | ISBN: 9780199652495
Published online September 2012 | e-ISBN: 9780191741203 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199652495.001.0001

Series: Lecture Notes of the Les Houches Summer School

Quantum Theory from Small to Large Scales

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This book collects lecture courses and seminars given at the Les Houches Summer School 2010 on ‘Quantum Theory: From Small to Large Scales’. Fundamental quantum phenomena appear on all scales, from microscopic to macroscopic. Some of the pertinent questions include the onset of decoherence, the dynamics of collective modes, the influence of external randomness, and the emergence of dissipative behaviour. Our understanding of such phenomena has been advanced by the study of model systems and by the derivation and analysis of effective dynamics for large systems and over long times. In this field, research in mathematical physics has regularly contributed results that were recognized as essential in the physics community. During the last few years, the key questions have been sharpened and progress on answering them has been particularly strong. This book reviews the state-of-the-art developments in this field and provides the necessary background for future studies.

Keywords: quantum theory; separation of scales; macroscopic phenomena; decoherence; effective dynamics; dissipation

Book.  720 pages.  Illustrated.

Subjects: Atomic, Molecular, and Optical Physics

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Table of Contents

Lecture notes on quantum Brownian motion in Quantum Theory from Small to Large Scales

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The temporal ultraviolet limit in Quantum Theory from Small to Large Scales

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Locality in quantum systems in Quantum Theory from Small to Large Scales

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Quantum phase transitions: introduction and some open problems in Quantum Theory from Small to Large Scales

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Cold quantum gases and Bose–Einstein condensation in Quantum Theory from Small to Large Scales

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Long-time diffusion for a quantum particle in Quantum Theory from Small to Large Scales

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