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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Main Authors: Liu, Xiong-Jun, Law, Kam Tuen, Ng, Tai-Kai, Lee, Patrick A.
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: American Physical Society 2014
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.
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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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