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Quantum Theory from Small to Large Scales
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Quantum Theory from Small to Large Scales: Lecture Notes of the Les Houches Summer School: Volume 95, August 2010

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

Abstract

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 fiel ... More

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

Bibliographic Information

Print publication date: 2012 Print ISBN-13: 9780199652495
Published to Oxford Scholarship Online: September 2012 DOI:10.1093/acprof:oso/9780199652495.001.0001

Authors

Affiliations are at time of print publication.

Jürg Frohlich, editor
Professor, ETH Zürich, Switzerland

Manfred Salmhofer, editor
Universität Heidelberg, Germany

Vieri Mastropietro, editor
Universita' di Roma Tor Vergata, Via della Ricerca Scientifica, Italy

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Contents

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Part 1 Long lectures

1 Lecture notes on quantum Brownian motion

László Erdős1 Institute of Mathematics, University of Munich Theresienstr. 39, D-80333 Munich, Germany

2 The temporal ultraviolet limit

Tadeusz Balaban1, Joel Feldman2,∗, Horst Knörrer and Eugene Trubowitz3

3 Locality in quantum systems

Matthew B. Hastings Microsoft Research Station Q, Elings Hall, University of California Santa Barbara, CA 93106, USA

4 Entropic fluctuations in quantum statistical mechanics—an introduction

V. Jakšić1, Y. Ogata2, Y. Pautrat3 and C.-A. Pillet4,∗

5 Quantum phase transitions: introduction and some open problems

Achim Rosch Institute of Theoretical Physics, University of Cologne, 50937 Cologne, Germany

6 Cold quantum gases and Bose–Einstein condensation

Robert Seiringer Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, Quebec H3A 2K6, Canada

7 SUSY statistical mechanics and random band matrices Thomas Spencer

Thomas Spencer Institute of Advanced Study, School of Mathematics, Einstein Drive, Princeton, NJ 08540, USA

PART II Short lectures

8 Mass renormalization in nonrelativistic quantum electrodynamics

Volker Bach Institut für Analysis und Algebra, TU Braunschweig, Pockelsstraße 14 v.bach@tu-bs.de

9 Long-time diffusion for a quantum particle

Wojciech De Roeck Institut für Theoretische Physik, Universitat Heidelberg, Philosophenweg 16, D69120 Heidelberg, Germany

10 The ground state construction of the two-dimensional Hubbard model on the honeycomb lattice

Alessandro Giuliani Dipartimento di Matematica, Università di Roma Tre L.go S. L. Murialdo 1, 00146 Roma, Italy

11 On transport in quantum devices

Gian Michele Graf Theoretische Physik, ETH-Zürich 8093 Zürich, Switzerland

12 Renormalization group and problem of radiation

Israel Michael Sigal1 Department of Mathematics, University of Toronto, Toronto, Canada

13 Bell inequalities

Michael Marc Wolf Zentrum Mathematik, M5, Technische Universität München, Boltzmannstrasse 3, 85748 Garching, Germany

14 Universality of generalized Wigner matrices

Horng-Tzer Yau1 Department of Mathematics, Harvard University, Cambridge, MA 02138, USA htyau@math.harvard.edu

15 Topological insulators and superconductors

Shoucheng Zhang Physics Department, Stanford University, LAM, Room 303, McCullough Bldg, 476 Lomita Mall, Stamford, CA 94305-4045, USA