Non-abelian Thouless pumping in a photonic lattice
- URL: http://arxiv.org/abs/2010.15159v2
- Date: Thu, 1 Jul 2021 15:22:13 GMT
- Title: Non-abelian Thouless pumping in a photonic lattice
- Authors: Valentina Brosco, Laura Pilozzi, Rosario Fazio, Claudio Conti
- Abstract summary: Non-abelian gauge fields emerge naturally in quantum systems with degenerate levels.
We show that they also play a role in Thouless pumping in the presence of degenerate bands.
Our work paves the way to the generation and detection of non-abelian gauge fields in photonic and optical lattices.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Non-abelian gauge fields emerge naturally in the description of adiabatically
evolving quantum systems having degenerate levels. Here we show that they also
play a role in Thouless pumping in the presence of degenerate bands. To this
end we consider a photonic Lieb lattice having two degenerate non-dispersive
modes and we show that, when the lattice parameters are slowly modulated, the
propagation of the photons bear the fingerprints of the underlying non-abelian
gauge structure. The non-dispersive character of the bands enables a high
degree of control on photon propagation. Our work paves the way to the
generation and detection of non-abelian gauge fields in photonic and optical
lattices.
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