Direct Probe of Topological Invariants Using Bloch Oscillating Quantum Walks
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The topology of a single-particle band structure plays a fundamental role in understanding a multitude of physical phenomena. Motivated by the connection between quantum walks and such topological band structures, we demonstrate that a simple time-dependent, Bloch-oscillating quantum walk enables the direct measurement of topological invariants. We consider two classes of one-dimensional quantum walks and connect the global phase imprinted on the walker with its refocusing behavior. By disentangling the dynamical and geometric contributions to this phase, we describe a general strategy to measure the topological invariant in these quantum walks. As an example, we propose an experimental protocol in a circuit QED architecture where a superconducting transmon qubit plays the role of the coin, while the quantum walk takes place in the phase space of a cavity.
Originalsprog | Engelsk |
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Artikelnummer | 130501 |
Tidsskrift | Physical Review Letters |
Vol/bind | 118 |
Udgave nummer | 13 |
Antal sider | 6 |
ISSN | 0031-9007 |
DOI | |
Status | Udgivet - 2017 |
Links
- http://arxiv.org/pdf/1609.09504
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