Topological Swing of Bloch Oscillations in Quantum Walks

We report new oscillations of wave packets in quantum walks subjected to electric fields, that decorate the usual Bloch-Zener oscillations of insulators. The number of turning points (or suboscillations) within one Bloch period of these oscillations is found to be governed by the winding of the quas...

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Bibliographic Details
Published in:Physical review letters 2020-10, Vol.125 (18), p.186804-186804, Article 186804
Main Authors: Upreti, Lavi K., Evain, C., Randoux, S., Suret, P., Amo, A., Delplace, P.
Format: Article
Language:English
Subjects:
Condensed Matter
Electric fields
Insulators
Mesoscopic Systems and Quantum Hall Effect
Optics
Oscillations
Physics
Quantum Gases
Quantum Physics
Topology
Wave packets
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Summary:We report new oscillations of wave packets in quantum walks subjected to electric fields, that decorate the usual Bloch-Zener oscillations of insulators. The number of turning points (or suboscillations) within one Bloch period of these oscillations is found to be governed by the winding of the quasienergy spectrum. Thus, this provides a new physical manifestation of a topological property of periodically driven systems that can be probed experimentally. Our model, based on an oriented scattering network, is readily implementable in photonic and cold atomic setups.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.125.186804