Galilei covariance of the theory of Thouless pumps
The Thouless theory of quantum pumps establishes the conditions for quantized particle transport per cycle, and determines its value. When describing the pump from a moving reference frame, transported and existing charges transform, though not independently. This transformation is inherent to Galil...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/adc8ca |
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| author | Tilman Esslinger Gian Michele Graf Filippo Santi |
| author_facet | Tilman Esslinger Gian Michele Graf Filippo Santi |
| author_sort | Tilman Esslinger |
| collection | DOAJ |
| description | The Thouless theory of quantum pumps establishes the conditions for quantized particle transport per cycle, and determines its value. When describing the pump from a moving reference frame, transported and existing charges transform, though not independently. This transformation is inherent to Galilean space and time, but it is underpinned by a transformation of vector bundles. Different formalisms can be used to describe this transformation, including one based on Bloch theory. Depending on the chosen formalism, the two types of charges will be realized as indices of either the same or different kinds. Finally, we apply the bulk-edge correspondence principle, so as to implement the transformation law within Büttiker’s scattering theory of quantum pumps. |
| format | Article |
| id | doaj-art-fdb4a7a71f7a4244b456b38edf6acddd |
| institution | DOAJ |
| issn | 1367-2630 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-fdb4a7a71f7a4244b456b38edf6acddd2025-08-20T03:06:28ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127404301310.1088/1367-2630/adc8caGalilei covariance of the theory of Thouless pumpsTilman Esslinger0Gian Michele Graf1Filippo Santi2https://orcid.org/0009-0005-7430-9478Institute for Quantum Electronics, ETH Zurich , 8093 Zurich, SwitzerlandInstitute for Theoretical Physics, ETH Zurich , 8093 Zurich, SwitzerlandInstitute for Theoretical Physics, ETH Zurich , 8093 Zurich, SwitzerlandThe Thouless theory of quantum pumps establishes the conditions for quantized particle transport per cycle, and determines its value. When describing the pump from a moving reference frame, transported and existing charges transform, though not independently. This transformation is inherent to Galilean space and time, but it is underpinned by a transformation of vector bundles. Different formalisms can be used to describe this transformation, including one based on Bloch theory. Depending on the chosen formalism, the two types of charges will be realized as indices of either the same or different kinds. Finally, we apply the bulk-edge correspondence principle, so as to implement the transformation law within Büttiker’s scattering theory of quantum pumps.https://doi.org/10.1088/1367-2630/adc8caquantized charge transportcold atoms in optical latticesgapped quantum systems |
| spellingShingle | Tilman Esslinger Gian Michele Graf Filippo Santi Galilei covariance of the theory of Thouless pumps New Journal of Physics quantized charge transport cold atoms in optical lattices gapped quantum systems |
| title | Galilei covariance of the theory of Thouless pumps |
| title_full | Galilei covariance of the theory of Thouless pumps |
| title_fullStr | Galilei covariance of the theory of Thouless pumps |
| title_full_unstemmed | Galilei covariance of the theory of Thouless pumps |
| title_short | Galilei covariance of the theory of Thouless pumps |
| title_sort | galilei covariance of the theory of thouless pumps |
| topic | quantized charge transport cold atoms in optical lattices gapped quantum systems |
| url | https://doi.org/10.1088/1367-2630/adc8ca |
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