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Synthetic Gauge Field for Two-Dimensional Time-Multiplexed Quantum Random Walks

TitleSynthetic Gauge Field for Two-Dimensional Time-Multiplexed Quantum Random Walks
Publication TypeJournal Article
Year of Publication2019
AuthorsH. Chalabi, S. Barik, S. Mittal, T. E. Murphy, M. Hafezi, and E. Waks
JournalPhys. Rev. Lett.
Volume123
Pagination150503
Date PublishedOCT 11
Type of ArticleArticle
ISSN0031-9007
Abstract

Temporal multiplexing provides an efficient and scalable approach to realize a quantum random walk with photons that can exhibit topological properties. But two-dimensional time-multiplexed topological quantum walks studied so far have relied on generalizations of the Su-Shreiffer-Heeger model with no synthetic gauge field. In this work, we demonstrate a two-dimensional topological quantum random walk where the nontrivial topology is due to the presence of a synthetic gauge field. We show that the synthetic gauge field leads to the appearance of multiple band gaps and, consequently, a spatial confinement of the quantum walk distribution. Moreover, we demonstrate topological edge states at an interface between domains with opposite synthetic fields. Our results expand the range of Hamiltonians that can be simulated using photonic quantum walks.

DOI10.1103/PhysRevLett.123.150503