Abstract:
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.
Registro:
Documento: |
Artículo
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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
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Palabras clave: | Holonomy; Quantum walks; Topology; Zak phase |
Año: | 2017
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Volumen: | 7
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Número: | 5
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DOI: |
http://dx.doi.org/10.3390/cryst7050122 |
Título revista: | Crystals
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Título revista abreviado: | Crystals
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ISSN: | 20734352
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_20734352_v7_n5_p_Puentes |
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Citas:
---------- APA ----------
(2017)
. Topology and holonomy in discrete-time quantum walks. Crystals, 7(5).
http://dx.doi.org/10.3390/cryst7050122---------- CHICAGO ----------
Puentes, G.
"Topology and holonomy in discrete-time quantum walks"
. Crystals 7, no. 5
(2017).
http://dx.doi.org/10.3390/cryst7050122---------- MLA ----------
Puentes, G.
"Topology and holonomy in discrete-time quantum walks"
. Crystals, vol. 7, no. 5, 2017.
http://dx.doi.org/10.3390/cryst7050122---------- VANCOUVER ----------
Puentes, G. Topology and holonomy in discrete-time quantum walks. Crystals. 2017;7(5).
http://dx.doi.org/10.3390/cryst7050122