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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

Workshop on Stochastics and Quantum Physics

Thursday 21 October - Tuesday 26 October, 1999

Aud. G1/G2, Department of Mathematical Sciences
University of Aarhus

The Workshop focussed on some of the areas where concepts and techniques from Stochastics (i.e. Probability and Mathematical Statistics) are, or seem likely soon to become, of real quantum physical importance.

By bringing together leading physicists and mathematicians, having an active interest in the themes of the Workshop, it was sought to foster fruitful discussions and collaboration on the role and use of Stochastics in Quantum Physics.

Schedule for the Workshop

Time Thursday
(Aud. G2)
(Aud. G2)
(Aud. G1)
(Aud. G1)
(Aud. G1)
9.00-9.50 registr. Bardou Holevo Peres Helland
10.10-11.00 Course Course Belavkin Carmichael Høyer
11.10-12.00 Course Course Belavkin Wiseman Lindblad
LUNCH (from 12.30)
14.00-14.50 Petz Mahler Barchielli Gill
15.10-16.00 Percival Zambrini Maassen Gottlieb
16.10-17.00 Haagerup Polzik Massar Lobanov

Titles of talks

Luigi Accardi:
An outline of the stochastic limit of quantum theory

Alberto Barchielli:
Quantum stochastic models of two-level atoms.

Francois Bardou:
Stochastic wave-functions, Lévy flights and quantum evaporation

Howard Carmichael:
Physical principles of quantum trajectories

Richard Gill:
Quantum asymptotic statistics and ``non-locality without entanglement''

Alexander Gottlieb:
Quantum molecular chaos and the dynamics of mean-field spin models.

Inge S. Helland
Experiments, symmetries and quantum mechanics

Alexander S. Holevo:
Coding Theorems for Quantum Channels

Peter Høyer:
The Subgroup Problem via State Distinguishability

Uffe Haagerup:
Spectra of random matrices and random operators on Hilbert spaces

Göran Lindblad:
Gaussian maps and processes in quantum systems

Yuri Yu. Lobanov:
Stochastic calculations in quantum physics via numerical integration in metric spaces

Elena R. Loubenets:
The Quantum Stochastic Evolution of an Open System under Continuous in Time Non-demolition Measurement

Günther Mahler:
Statistical measures for the characterization of quantum trajectories

Hans Maassen:
Ergodicity of continuous measurement in quantum optics

Serge Massar:
How much classical communication is required to simulate quantum communication and quantum entanglement?

Ian Percival:
Generalized Bell inequalities

Asher Peres:
Relativistic Quantum Measurements

Denes Petz:
Relative entropy in quantum information theory

Eugene Polzik:
Eugene Polzik gave a short introduction to `Quantum Optics' followed by a guided tour at the `Quantum Optics Lab' at the Department of Physics, University of Aarhus.

Howard Wiseman:
Monitoring Open Quantum Systems: Theory and Applications to Adaptive Quantum Measurements.

Jean Claude Zambrini:
Stochastic analysis as a tool for the foundations of quantum mechanics

Bernt Øksendal:
Wick Products, Malliavin Calculus and their applications in Physics


The (extended) abstracts of all talks has been gathered into a small booklet that you may down-load.

Registered participants
  • Alberto Barchielli
    (University of Milano)
  • Francois Bardou
    (University of Newcastle)
  • Ole E. Barndorff-Nielsen
    (University of Aarhus)
  • Viacheslav P. Belavkin
    (University of Nottingham)
  • Fred Espen Benth
    (University of Oslo)
  • Howard Carmichael
    (University of Ulm)
  • Richard Gill
    (University of Utrecht)
  • Alexander Gottlieb
    (Lawrence Berkeley National Laboratory)
  • Svend Erik Graversen
    (University of Aarhus)
  • Inge S. Helland
    (University of Oslo)
  • Alexander S. Holevo
    (Steklov Mathematical Institute, Moscow)
  • Uffe Haagerup
    (University of Odense)
  • Peter Høyer
    (University of Aarhus)
  • Jens Ledet Jensen
    (University of Aarhus)
  • Peter E. Jupp
    (University of St Andrews)
  • Martin Leitz-Martini
    (University of Tübringen)
  • Mykola Leonenko
    (Kiev University)
  • Göran Lindblad
    (Royal Institute of Technology, Stockholm)
  • Yuri Yu. Lobanov
    (University of Dubna)
  • Elena Loubenets
    (Moscow State Institute of Electronics and Mathematics)
  • Alessandra Luati
    (University of Bologna)
  • Hans Maassen
    (University of Nijmegen)
  • Günther Mahler
    (University of Stuttgart)
  • David Márquez-Carreras
    (University of Barcelona)
  • Serge Massar
    (University of Bruxelles)
  • Milan Mosonyi
    (Technnical University of Budapest)
  • Klaus Mølmer
    (University of Aarhus)
  • Ian Percival
    (Queen Mary and Westfield College, London)
  • Asher Peres
    (Technion, Haifa)
  • Goran Peskir
    (University of Aarhus)
  • Denes Petz
    (Technical University of Budapest)
  • Eugene Polzik
    (University of Aarhus)
  • Daniel Terno
    (Technion, Haifa)
  • Steen Thorbjørnsen
    (University of Odense)
  • Flemming Topsøe
    (University of Copenhagen)
  • H. Wiseman
    (Griffith University)
  • Jean-Claude Zambrini
    (University of Lisbon)
  • Eberhard Zeidler
    (Max Planck Institute for Mathematics in the Sciences, Leipzig)
  • Bernt Øksendal
    (University of Oslo)

More/Related Information

Please make further inquiries to the local organizers Ole E. Barndorff-Nielsen and Klaus Mølmer

This document, http://www.maphysto.dk/oldpages/events/QuantumStoc99/index.html was last modified January 19, 2004. Questions or comments to the contents of this document should be directed to maphysto@maphysto.dk.