Exploring Topological Phases With Quantum Walks

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Exploring Topological Phases With Quantum Walks

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Title: Exploring Topological Phases With Quantum Walks
Author: Rudner, Mark; Kitagawa, Takuya; Berg, Erez; Demler, Eugene A.

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

Citation: Kitagawa, Takuya, Mark Rudner, Erez Berg, and Eugene Demler. 2010. Exploring topological phases with quantum walks. Physical Review A 82(3): 033429.
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Abstract: The quantum walk was originally proposed as a quantum mechanical analogue of the classical random walk, and has since become a powerful tool in quantum information science. In this paper, we show that discrete time quantum walks provide a versatile platform for studying topological phases, which are currently the subject of intense theoretical and experimental investigation. In particular, we demonstrate that recent experimental realizations of quantum walks simulate a non-trivial one dimensional topological phase. With simple modifications, the quantum walk can be engineered to realize all of the topological phases which have been classified in one and two dimensions. We further discuss the existence of robust edge modes at phase boundaries, which provide experimental signatures for the non-trivial topological character of the system.
Published Version: doi:10.1103/PhysRevA.82.033429
Other Sources: http://arxiv.org/abs/1003.1729
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:8152134
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