Interferometric Approach to Measuring Band Topology in 2D Optical Lattices

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Interferometric Approach to Measuring Band Topology in 2D Optical Lattices

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Title: Interferometric Approach to Measuring Band Topology in 2D Optical Lattices
Author: Abanin, Dmitry; Kitagawa, Takuya; Bloch, Immanuel; Demler, Eugene A.

Note: Order does not necessarily reflect citation order of authors.

Citation: Abanin, Dmitry, Takuya Kitagawa, Immanuel Bloch, and Eugene Demler. 2013. Interferometric Approach to Measuring Band Topology in 2D Optical Lattices. Physical Review Letters 110, no. 16: 165304.
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Abstract: Recently, optical lattices with nonzero Berry’s phases of Bloch bands have been realized. New approaches for measuring Berry’s phases and topological properties of bands with experimental tools appropriate for ultracold atoms need to be developed. In this Letter, we propose an interferometric method for measuring Berry’s phases of two-dimensional Bloch bands. The key idea is to use a combination of Ramsey interference and Bloch oscillations to measure Zak phases, i.e., Berry’s phases for closed trajectories corresponding to reciprocal lattice vectors. We demonstrate that this technique can be used to measure the Berry curvature of Bloch bands, the π Berry’s phase of Dirac points, and the first Chern number of topological bands. We discuss several experimentally feasible realizations of this technique, which make it robust against low-frequency magnetic noise.
Published Version: doi:10.1103/PhysRevLett.110.165304
Other Sources: http://arxiv.org/pdf/1212.0562v1.pdf
http://www.researchgate.net/profile/Immanuel_Bloch/publication/236914159_Interferometric_Approach_to_Measuring_Band_Topology_in_2D_Optical_Lattices/links/00b49525f5666b9b89000000
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:13421150
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