Detecting Topological Phases in Cold Atoms
Chern insulators are band insulators which exhibit a gap in the bulk and gapless excitations in the edge. Detection of Chern insulators is a serious challenge in cold atoms since the Hall transport measurements are technically unrealistic for neutral atoms. By establishing a natural correspondence b...
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American Physical Society
2014
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Online Access: | http://hdl.handle.net/1721.1/84971 https://orcid.org/0000-0001-7809-8157 |
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author | Liu, Xiong-Jun Law, Kam Tuen Ng, Tai-Kai Lee, Patrick A. |
author2 | Massachusetts Institute of Technology. Department of Physics |
author_facet | Massachusetts Institute of Technology. Department of Physics Liu, Xiong-Jun Law, Kam Tuen Ng, Tai-Kai Lee, Patrick A. |
author_sort | Liu, Xiong-Jun |
collection | MIT |
description | Chern insulators are band insulators which exhibit a gap in the bulk and gapless excitations in the edge. Detection of Chern insulators is a serious challenge in cold atoms since the Hall transport measurements are technically unrealistic for neutral atoms. By establishing a natural correspondence between the time-reversal invariant topological insulator and the quantum anomalous Hall system, we show for a class of Chern insulators that the topology can be determined by only measuring Bloch eigenstates at highly symmetric points of the Brillouin zone. Furthermore, we introduce two experimental schemes, including the spin-resolved Bloch oscillation, to carry out the measurement. These schemes are highly feasible under realistic experimental conditions. Our results may provide a powerful tool to detect topological phases in cold atoms. |
first_indexed | 2024-09-23T10:04:25Z |
format | Article |
id | mit-1721.1/84971 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T10:04:25Z |
publishDate | 2014 |
publisher | American Physical Society |
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spelling | mit-1721.1/849712022-09-30T18:43:27Z Detecting Topological Phases in Cold Atoms Liu, Xiong-Jun Law, Kam Tuen Ng, Tai-Kai Lee, Patrick A. Massachusetts Institute of Technology. Department of Physics Liu, Xiong-Jun Lee, Patrick A. Chern insulators are band insulators which exhibit a gap in the bulk and gapless excitations in the edge. Detection of Chern insulators is a serious challenge in cold atoms since the Hall transport measurements are technically unrealistic for neutral atoms. By establishing a natural correspondence between the time-reversal invariant topological insulator and the quantum anomalous Hall system, we show for a class of Chern insulators that the topology can be determined by only measuring Bloch eigenstates at highly symmetric points of the Brillouin zone. Furthermore, we introduce two experimental schemes, including the spin-resolved Bloch oscillation, to carry out the measurement. These schemes are highly feasible under realistic experimental conditions. Our results may provide a powerful tool to detect topological phases in cold atoms. United States. Dept. of Energy (Grant DE-FG-02-03-ER46076) 2014-02-18T14:56:17Z 2014-02-18T14:56:17Z 2013-09 2013-07 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/84971 Liu, Xiong-Jun et al. “Detecting Topological Phases in Cold Atoms.” Physical Review Letters 111.12 (2013): n. pag. © 2013 American Physical Society https://orcid.org/0000-0001-7809-8157 en_US http://dx.doi.org/10.1103/PhysRevLett.111.120402 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society American Physical Society |
spellingShingle | Liu, Xiong-Jun Law, Kam Tuen Ng, Tai-Kai Lee, Patrick A. Detecting Topological Phases in Cold Atoms |
title | Detecting Topological Phases in Cold Atoms |
title_full | Detecting Topological Phases in Cold Atoms |
title_fullStr | Detecting Topological Phases in Cold Atoms |
title_full_unstemmed | Detecting Topological Phases in Cold Atoms |
title_short | Detecting Topological Phases in Cold Atoms |
title_sort | detecting topological phases in cold atoms |
url | http://hdl.handle.net/1721.1/84971 https://orcid.org/0000-0001-7809-8157 |
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