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We present a research article which formulates the milestones for the understanding and characterization of holonomy and topology of a discrete-time quantum walk architecture, consisting of a unitary step given by a sequence of two non-commuting rotations in parameter space. Unlike other similar systems recently studied in detail in the literature, this system does not present continous 1D topological boundaries, it only presents a discrete number of Dirac points where the quasi-energy gap closes. At these discrete points, the topological winding number is not defined. Therefore, such discrete points represent topological boundaries of dimension zero, and they endow the system with a non-trivial topology. We illustrate the non-trivial character of the system by calculating the Zak phase. We discuss the prospects of this system, we propose a suitable experimental scheme to implement these ideas, and we present preliminary experimental data. © 2017 by the authors. Licensee MDPI, Basel, Switzerland.


Documento: Artículo
Título:Topology and holonomy in discrete-time quantum walks
Autor:Puentes, G.
Filiación:Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Pabellon 1, Ciudad Universitaria, Buenos Aires, 1428, Argentina
3rd Institute of Physics, Research Center Scope and MPI for Solid State Research, University of Stuttgart, Stuttgart, 70569, Germany
Palabras clave:Holonomy; Quantum walks; Topology; Zak phase
Título revista:Crystals
Título revista abreviado:Crystals


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---------- APA ----------
(2017) . Topology and holonomy in discrete-time quantum walks. Crystals, 7(5).
---------- CHICAGO ----------
Puentes, G. "Topology and holonomy in discrete-time quantum walks" . Crystals 7, no. 5 (2017).
---------- MLA ----------
Puentes, G. "Topology and holonomy in discrete-time quantum walks" . Crystals, vol. 7, no. 5, 2017.
---------- VANCOUVER ----------
Puentes, G. Topology and holonomy in discrete-time quantum walks. Crystals. 2017;7(5).