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      Scientific aspects


Complex Quantum Systems
(17 February - 27 March 2010)

Jointly organized with Centre for Quantum Technologies


Organizing Committee · Visitors and Participants · Overview · Activities · Funding for Young Scientists


 Organizing Committee





  • Matthias Christandl (Ludwig-Maximilians-Universität München)
  • Berthold-Georg Englert (National University of Singapore)
  • Andreas Winter (National University of Singapore and University of Bristol)


 Visitors and Participants





The program will concentrate on two topics, (i) Large Coulomb Systems and
(ii) Quantum Information and Reduced Density Matrices. The corresponding parts will start with kick-off workshops during the first and third week of the program.


The program will be organized in two related sections, but with different emphasis, namely “Large Coulomb Systems” and “Quantum Information and N-Representability”. The topics of the program will include:


  • Effective description of atoms and molecules (density and density matrix functionals, computational aspects)
  • Models of relativistic quantum electrodynamics
  • Stability of matter (including relativistic systems and the quantized photon field)
  • Lieb-Thirring and other Sobolev type inequalities
  • Reduced density matrices and the N-representability problem in quantum information theory
  • Quantum and Classical Complexity Theory of the N-representability and related physical problems
  • Approximation methods for correlated states (Semi-definite programming, Matrix Product States (MPS), Projected Entangled Pair States (PEPS), fermionic PEPS)


These topics mark an area of considerable current research activity. The goal of the program is not only to communicate recent research results and initiate collaboration between the mathematicians and physicists that take part in the respective research effort, it is also intended to initiate collaboration between participants of the many-particle community and the quantum information community.




The first four weeks will emphasize the theory of Large Coulomb System, the last four weeks (there will be an overlap of two weeks) will emphasize Quantum Information and N-Representability. Each part will start with a kick-off workshop. The first workshop will start February 17, the second on March 1. Each workshop will be followed by working periods on the topics raised during the workshop. As part of the workshops, lead participants will give introductory talks into the current state of research. Also at the beginning of each period, there will be tutorial lectures directed towards graduate students, postdocs, and scientist interested in starting work in the area of large Coulomb systems and quantum electrodynamics, followed by a working and collaboration session of three weeks. The tutorial lectures is planned to consist of five two hour sessions.

Date: Tuesday, 23 Feb 2010
Venue: LT31, Block S16,
Level 3, Faculty of Science,
National University of Singapore
Singapore 117543
6:30pm - 7:30pm Cold Atoms and Quantized Vortices
Jakob Yngvason, University of Vienna, Austria

  • Tutorial Lectures
    1. Mathematical methods and results on multiparticle quantum mechanics: 22 – 23, 25 – 26 Feb 2010
      by Rafael Benguria, Pontificia Universidad Católica de Chile, Chile
    2. Reduced density matrices in atomic physics and chemistry; a variational approach: 24 Feb 2010
      by Dimitri Van Neck, Ghent University, Belgium



Students and researchers who are interested in attending these activities and who do not require financial aid are requested to complete the online registration form.

The following do not need to register:

  • Those invited to participate.
  • Those applying for financial support.





 Funding for Young Scientists


The Institute for Mathematical Sciences has limited funds to cover partial support for travel and living expenses for young scientists interested in participating in the program. Applications should be received at least three (3) months before the commencement of the program. Application form is available in (MSWord|PDF|PS) format for download.


More information is available by writing to:
Institute for Mathematical Sciences
National University of Singapore
3 Prince George's Park
Singapore 118402
Republic of Singapore

or email to imssec(AT)


For enquiries on scientific aspects of the program, please email Berthold-Georg Englert at cqtebg(AT)



Organizing Committee · Visitors and Participants · Overview · Activities · Funding for Young Scientists

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