Non-Abelian Thouless pumping in a Rice-Mele ladder

• URL: http://arxiv.org/abs/2409.20136v1
• Date: Mon, 30 Sep 2024 09:39:06 GMT
• Title: Non-Abelian Thouless pumping in a Rice-Mele ladder
• Authors: Carlo Danieli, Valentina Brosco, Laura Pilozzi, Roberta Citro,
• Abstract summary: Non-Abelian Thouless pumping intertwines adiabatic quantum control and topological quantum transport. The proposed Hamiltonian can be realized using cold atoms in optical lattices.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Non-Abelian Thouless pumping intertwines adiabatic quantum control and topological quantum transport and it holds potential for quantum metrology and computing. In this work, we introduce a ladder model featuring two doubly-degenerate bands and we show that adiabatic manipulation of the lattice parameters results in non-Abelian Thouless pumping, inducing both the displacement of an initially localized state and a geometric unitary transformation within the degenerate subspace. Additionally, we show that the structure and symmetry of the ladder model can be understood through its connection to a Yang monopole model. The proposed Hamiltonian can be realized using cold atoms in optical lattices, enabling the experimental demonstration of non-Abelian Thouless pumping in a genuinely quantum many-body system.

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