Topological characterization of chiral models through their long time dynamics
We study chiral models in one spatial dimension, both static and periodically driven. We demonstrate that their topological properties may be read out through the long time limit of a bulk observable, the mean chiral displacement. The derivation of this result is done in terms of spectral projectors...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa9d4c |
| _version_ | 1797750699248844800 |
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| author | Maria Maffei Alexandre Dauphin Filippo Cardano Maciej Lewenstein Pietro Massignan |
| author_facet | Maria Maffei Alexandre Dauphin Filippo Cardano Maciej Lewenstein Pietro Massignan |
| author_sort | Maria Maffei |
| collection | DOAJ |
| description | We study chiral models in one spatial dimension, both static and periodically driven. We demonstrate that their topological properties may be read out through the long time limit of a bulk observable, the mean chiral displacement. The derivation of this result is done in terms of spectral projectors, allowing for a detailed understanding of the physics. We show that the proposed detection converges rapidly and it can be implemented in a wide class of chiral systems. Furthermore, it can measure arbitrary winding numbers and topological boundaries, it applies to all non-interacting systems, independently of their quantum statistics, and it requires no additional elements, such as external fields, nor filled bands. |
| first_indexed | 2024-03-12T16:37:41Z |
| format | Article |
| id | doaj.art-9df5965e7e01410e91f99636943a5108 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:37:41Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-9df5965e7e01410e91f99636943a51082023-08-08T14:49:32ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120101302310.1088/1367-2630/aa9d4cTopological characterization of chiral models through their long time dynamicsMaria Maffei0Alexandre Dauphin1Filippo Cardano2Maciej Lewenstein3Pietro Massignan4ICFO—Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, E-08860 Castelldefels (Barcelona), Spain; Dipartimento di Fisica, Università di Napoli Federico II , Complesso Universitario di Monte Sant’Angelo, Via Cintia, I-80126 Napoli, ItalyICFO—Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, E-08860 Castelldefels (Barcelona), SpainDipartimento di Fisica, Università di Napoli Federico II , Complesso Universitario di Monte Sant’Angelo, Via Cintia, I-80126 Napoli, ItalyICFO—Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, E-08860 Castelldefels (Barcelona), Spain; ICREA—Institució Catalana de Recerca i Estudis Avançats, Pg. Lluis Companys 23, E-08010 Barcelona, SpainICFO—Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, E-08860 Castelldefels (Barcelona), Spain; Departament de Física, Universitat Politècnica de Catalunya , Campus Nord B4-B5, E-08034 Barcelona, SpainWe study chiral models in one spatial dimension, both static and periodically driven. We demonstrate that their topological properties may be read out through the long time limit of a bulk observable, the mean chiral displacement. The derivation of this result is done in terms of spectral projectors, allowing for a detailed understanding of the physics. We show that the proposed detection converges rapidly and it can be implemented in a wide class of chiral systems. Furthermore, it can measure arbitrary winding numbers and topological boundaries, it applies to all non-interacting systems, independently of their quantum statistics, and it requires no additional elements, such as external fields, nor filled bands.https://doi.org/10.1088/1367-2630/aa9d4cwinding numberZak phasetopological insulatorsquantum simulationmeasure of winding numbers |
| spellingShingle | Maria Maffei Alexandre Dauphin Filippo Cardano Maciej Lewenstein Pietro Massignan Topological characterization of chiral models through their long time dynamics New Journal of Physics winding number Zak phase topological insulators quantum simulation measure of winding numbers |
| title | Topological characterization of chiral models through their long time dynamics |
| title_full | Topological characterization of chiral models through their long time dynamics |
| title_fullStr | Topological characterization of chiral models through their long time dynamics |
| title_full_unstemmed | Topological characterization of chiral models through their long time dynamics |
| title_short | Topological characterization of chiral models through their long time dynamics |
| title_sort | topological characterization of chiral models through their long time dynamics |
| topic | winding number Zak phase topological insulators quantum simulation measure of winding numbers |
| url | https://doi.org/10.1088/1367-2630/aa9d4c |
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