München 2019 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 5: Gittertheorien und Spinmodelle

MP 5.3: Talk

Tuesday, March 19, 2019, 15:10–15:30, HS 23

On Phase-Space Representations of Spin Systems and Their Relations to Infinite-Dimensional Quantum States — •Bálint Koczor, Robert Zeier, and Steffen J. Glaser — Technische Universität München, Garching, Germany

Classical phase spaces have been widely applied in physics, engineering, economics or biology. I will give an overview of our recent works on phase spaces of quantum systems, which are a powerful tool for describing, analyzing, and tomographically reconstructing quantum states. We provide a complete phase-space description of (coupled) spin systems including their time evolution, tomography, large-spin approximations and their infinite-dimensional limit, which recovers the well-known case of quantum optics. We calculate time evolutions using spin-weighted spherical harmonics of Newman and Penrose and approximate phase-space representations of quantum states that are challenging to calculate for large spin numbers.

Refer to the recent preprints arXiv:1711.07994 and arXiv:1808.02697.