Experimental Realization of a non-Abelian U(3) Holonomy

Vera Neef; Julien Pinske; Friederike Klauck; Lucas Teuber; Mark Kremer; Max Ehrhardt; Matthias Heinrich; Stefan Scheel; Alexander Szameit

doi:10.1364/CLEO_QELS.2021.FTh1N.5

Conference on Lasers and Electro-Optics
OSA Technical Digest (Optica Publishing Group, 2021),
paper FTh1N.5
•https://doi.org/10.1364/CLEO_QELS.2021.FTh1N.5

Experimental Realization of a non-Abelian U(3) Holonomy

Vera Neef, Julien Pinske, Friederike Klauck, Lucas Teuber, Mark Kremer, Max Ehrhardt, Matthias Heinrich, Stefan Scheel, and Alexander Szameit

CLEO: QELS_Fundamental Science 2021

San Jose, California United States
9–14 May 2021
ISBN: 978-1-943580-91-0

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V. Neef, J. Pinske, F. Klauck, L. Teuber, M. Kremer, M. Ehrhardt, M. Heinrich, S. Scheel, and A. Szameit, "Experimental Realization of a non-Abelian U(3) Holonomy," in Conference on Lasers and Electro-Optics, J. Kang, S. Tomasulo, I. Ilev, D. Müller, N. Litchinitser, S. Polyakov, V. Podolskiy, J. Nunn, C. Dorrer, T. Fortier, Q. Gan, and C. Saraceno, eds., OSA Technical Digest (Optica Publishing Group, 2021), paper FTh1N.5.

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Abstract

We experimentally realize a U(3) holonomy. By adiabatically propagating quantum states in appropriately designed photonic waveguide systems, we evolve on closed loops within a degenerate subspace of dark states, resulting in a non-Abelian geometric phase.

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