Non-Abelian Thouless pumping in a Rice-Mele ladder
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866913523307642880 |
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| author | Danieli, Carlo Brosco, Valentina Pilozzi, Laura Citro, Roberta |
| author_facet | Danieli, Carlo Brosco, Valentina Pilozzi, Laura Citro, Roberta |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_20136 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Abelian Thouless pumping in a Rice-Mele ladder Danieli, Carlo Brosco, Valentina Pilozzi, Laura Citro, Roberta Mesoscale and Nanoscale Physics Quantum Gases Quantum Physics 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. |
| title | Non-Abelian Thouless pumping in a Rice-Mele ladder |
| topic | Mesoscale and Nanoscale Physics Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2409.20136 |