The Budapest Quantum Optics Group

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Topological phase transitions in quantum kicked rotators

Jan Dahlhaus

(Lorentz Insitute, Leiden)

Time: Tue Dec 4 13:00:00 2012
Location: Building 1, Room 114, Auditorium

Topology is a nice mathematical concept that can have profound consequences on condensed matter systems. Maybe the most prominent examples are the quantum Hall effect, the quantum spin Hall effect and the 3D topological insulator. I will present a way to realize the ideas of band topology in a well-known and intensively-studied model - the quantum kicked rotator. This allows to study the Anderson localization properties of topological phase transitions numerically in a very efficient way, especially in higher dimensions. Furthermore it may open a way for experimental measurements of this transition behaviour with cold atomic gases in optical lattices.

Related publications:

  • E. P. L. van Nieuwenburg, J. M. Edge, J. P. Dahlhaus, J. Tworzydło, C. W. J. Beenakker: Metal--topological-insulator transition in the quantum kicked rotator with Z2 symmetry, Pys. Rev. B 85, 165131 (2012), arXiv:1201.3361