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Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons

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hdl:2117/115974

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Cardano, Filippo
D'Errico, Alessio
Dauphin, Alexandre
Maffei, Maria
Piccirillo, Bruno
de Lisio, Corrado
de Filippis, Guido
Cataudella, Vittorio
Santamato, Enrico
Marrucci, Lorenzo
Lewenstein, Maciej
Massignan, Pietro AlbertoMés informacióMés informacióMés informació
Document typeArticle
Defense date2017
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
Topological insulators are fascinating states of matter exhibiting protected edge states and robust quantized features in their bulk. Here we propose and validate experimentally a method to detect topological properties in the bulk of one-dimensional chiral systems. We first introduce the mean chiral displacement, an observable that rapidly approaches a value proportional to the Zak phase during the free evolution of the system. Then we measure the Zak phase in a photonic quantum walk of twisted photons, by observing the mean chiral displacement in its bulk. Next, we measure the Zak phase in an alternative, inequivalent timeframe and combine the two windings to characterize the full phase diagram of this Floquet system. Finally, we prove the robustness of the measure by introducing dynamical disorder in the system. This detection method is extremely general and readily applicable to all present one-dimensional platforms simulating static or Floquet chiral systems.
CitationCardano, F., D'Errico, A., dauphin, A., Maffei, M., Piccirillo, B., de Lisio, C., de Filippis, G., Cataudella, V., Santamato, E., Marrucci, L., Lewenstein, M., Massignan, P. Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons. "Nature communications", 2017, vol. 8. 
URIhttp://hdl.handle.net/2117/115974
DOI10.1038/ncomms15516
ISSN2041-1723
Publisher versionhttp://www.nature.com/doifinder/10.1038/ncomms15516
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  • Departament de Física - Articles de revista [1.871]
  • SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity - Articles de revista [383]
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