Non-abelian holonomies in a generalized Lieb lattice

Valentina Brosco; Laura Pilozzi; Rosario Fazio; Claudio Conti; Claudio Conti

2021 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference
OSA Technical Digest (Optica Publishing Group, 2021),
paper ec_4_1

Non-abelian holonomies in a generalized Lieb lattice

Valentina Brosco, Laura Pilozzi, Rosario Fazio, and Claudio Conti

European Quantum Electronics Conference 2021

Munich Germany
21–25 June 2021
ISBN: 978-1-6654-1876-8

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Band Topology II (ec_4)

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V. Brosco, L. Pilozzi, R. Fazio, and C. Conti, "Non-abelian holonomies in a generalized Lieb lattice," in 2021 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, OSA Technical Digest (Optica Publishing Group, 2021), paper ec_4_1.

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Abstract

We design modulated photonic waveguide arrays for the generation and detection of non-abelian gauge fields. Exploiting the Thouless pumping we show that photon beam displacement quantization can be traced back to the existence of non-Abelian topological invariants.

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