SKM 2021 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 25: Poster Session: Topology

TT 25.15: Poster

Thursday, September 30, 2021, 13:30–16:00, P

Geometrical Rabi oscillations in non-Abelian systems — •Hannes Weisbrich¹, Gianluca Rastelli², and Wolfgang Belzig¹ — ¹Universität Konstanz — ²Universita di Trento

Topological phases of matter became a new standard to classify quantum systems in many cases, yet key quantities like the quantum geometric tensor providing local information about topological properties are still experimentally hard to access, especially in non-Abelian systems [1] when states are degenerate and the quantum geometric tensor has a non-Abelian form. We propose protocols to determine the quantum geometric tensor in non-Abelian quantum systems. We show theoretically that for a weak resonant driving of the local parameters the coherent Rabi oscillations and their frequencies are related to the non-Abelian quantum geometric tensor [2]. Our schemes suggest also a way to prepare eigenstates of the quantum metric, a task that is difficult otherwise in a degenerate subspace.
[1] H. Weisbrich, R. L. Klees, G. Rastellli, and W. Belzig, PRX Quantum 2, 010310 (2021)
[2] H. Weisbrich, G. Rastellli, and W. Belzig, arXiv:2105.02689 (2021); accepted in Phys. Rev. Research (2021)