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Statistical moments of quantum-walk dynamics reveal topological quantum transitions

Cardano, Filippo, Maffei, Maria, Massa, Francesco, Piccirillo, Bruno, de Lisio, Corrado, De Filippis, Giulio, Cataudella, Vittorio, Santamato, Enrico, Marrucci, Lorenzo·2016·Nature Communications

Abstract

Many phenomena in solid-state physics can be understood in terms of their topological properties. Recently, controlled protocols of quantum walk (QW) are proving to be effective simulators of such phenomena. Here we report the realization of a photonic QW showing both the trivial and the non-trivial topologies associated with chiral symmetry in one-dimensional (1D) periodic systems. We find that the probability distribution moments of the walker position after many steps can be used as direct indicators of the topological quantum transition: while varying a control parameter that defines the system phase, these moments exhibit a slope discontinuity at the transition point. Numerical simulations strongly support the conjecture that these features are general of 1D topological systems. Extending this approach to higher dimensions, different topological classes, and other typologies of quantum phases may offer general instruments for investigating and experimentally detecting quantum transitions in such complex systems.

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Crossref · 10.1038/ncomms11439

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  • OAM has enabled optimal quantum cloning of OAM-encoded qubits and photonic quantum walks in OAM states, with theoretical analyses and experimental demonstrations.

    “At a fundamental level, OAM has enabled researches on optimal quantum cloning of OAM-encoded qubits [66,81] and photonic quantum walks in the orbital angular momentum states, with theoretical analyses [82,83] and experimental demonstrations [51,54,60].”

    From Photonic quantum information processing: a review (2019) · cites this paper as [60]

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Research works printed but not linked: 21

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Metadata

Authors
Cardano, F., Maffei, M., Massa, F., Piccirillo, B., de Lisio, C., De Filippis, G., Cataudella, V., Santamato, E., & Marrucci, L.
Venue
Nature Communications
Published
2016-04-22
Volume
7
Issue
1
ISSN
2041-1723
Cited by
152
References
8
Language
en

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