Topologically quantized current in quasiperiodic Thouless pumps
Thouless pumps are topologically nontrivial states of matter with quantized charge transport, which can be realized in atomic gases loaded into an optical lattice. This topological state is analogous to the quantum Hall state. However, contrarily to the exact, extremely precise, and robust quantizat...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-12-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.042035 |
| _version_ | 1797211168077512704 |
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| author | Pasquale Marra Muneto Nitta |
| author_facet | Pasquale Marra Muneto Nitta |
| author_sort | Pasquale Marra |
| collection | DOAJ |
| description | Thouless pumps are topologically nontrivial states of matter with quantized charge transport, which can be realized in atomic gases loaded into an optical lattice. This topological state is analogous to the quantum Hall state. However, contrarily to the exact, extremely precise, and robust quantization of the Hall conductance, the pumped charge is strictly quantized only when the pumping time is a multiple of a characteristic timescale, i.e., the pumping cycle duration. Here, we show instead that the pumped current becomes exactly quantized, independently from the pumping time, if the system is led into a quasiperiodic, incommensurate regime. In this quasiperiodic and topologically nontrivial state, the Bloch bands and the Berry curvature become flat, the pumped charge becomes linear in time, while the current becomes steady, topologically quantized, and proportional to the Chern number. The quantization of the current is exact up to exponentially small corrections. This has to be contrasted with the case of the commensurate (nonquasiperiodic) regime, where the current is not constant, and the pumped charge is quantized only at integer multiples of the pumping cycle. |
| first_indexed | 2024-04-24T10:22:12Z |
| format | Article |
| id | doaj.art-f89b0e679be04d0e8e3cc73106aa56ce |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:22:12Z |
| publishDate | 2020-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-f89b0e679be04d0e8e3cc73106aa56ce2024-04-12T17:04:38ZengAmerican Physical SocietyPhysical Review Research2643-15642020-12-012404203510.1103/PhysRevResearch.2.042035Topologically quantized current in quasiperiodic Thouless pumpsPasquale MarraMuneto NittaThouless pumps are topologically nontrivial states of matter with quantized charge transport, which can be realized in atomic gases loaded into an optical lattice. This topological state is analogous to the quantum Hall state. However, contrarily to the exact, extremely precise, and robust quantization of the Hall conductance, the pumped charge is strictly quantized only when the pumping time is a multiple of a characteristic timescale, i.e., the pumping cycle duration. Here, we show instead that the pumped current becomes exactly quantized, independently from the pumping time, if the system is led into a quasiperiodic, incommensurate regime. In this quasiperiodic and topologically nontrivial state, the Bloch bands and the Berry curvature become flat, the pumped charge becomes linear in time, while the current becomes steady, topologically quantized, and proportional to the Chern number. The quantization of the current is exact up to exponentially small corrections. This has to be contrasted with the case of the commensurate (nonquasiperiodic) regime, where the current is not constant, and the pumped charge is quantized only at integer multiples of the pumping cycle.http://doi.org/10.1103/PhysRevResearch.2.042035 |
| spellingShingle | Pasquale Marra Muneto Nitta Topologically quantized current in quasiperiodic Thouless pumps Physical Review Research |
| title | Topologically quantized current in quasiperiodic Thouless pumps |
| title_full | Topologically quantized current in quasiperiodic Thouless pumps |
| title_fullStr | Topologically quantized current in quasiperiodic Thouless pumps |
| title_full_unstemmed | Topologically quantized current in quasiperiodic Thouless pumps |
| title_short | Topologically quantized current in quasiperiodic Thouless pumps |
| title_sort | topologically quantized current in quasiperiodic thouless pumps |
| url | http://doi.org/10.1103/PhysRevResearch.2.042035 |
| work_keys_str_mv | AT pasqualemarra topologicallyquantizedcurrentinquasiperiodicthoulesspumps AT munetonitta topologicallyquantizedcurrentinquasiperiodicthoulesspumps |