Measuring topological invariants in disordered discrete-time quantum walks
Sonja Barkhofen,Thomas Nitsche,Fabian Elster,Lennart Lorz,Aurél Gábris,Aurél Gábris,Igor Jex,Christine Silberhorn +7 more
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TLDR
In this article, the authors implemented the scattering scheme proposed by Tarasinski et al. in a photonic time multiplexed quantum walk experiment to directly measure the topological invariants of quantum walks.Abstract:
Quantum walks constitute a versatile platform for simulating transport phenomena on discrete graphs including topological material properties while providing a high control over the relevant parameters at the same time. To experimentally access and directly measure the topological invariants of quantum walks, we implement the scattering scheme proposed by Tarasinski et al. [Phys. Rev. A 89, 042327 (2014)] in a photonic time multiplexed quantum walk experiment. The tunable coin operation provides opportunity to reach distinct topological phases, and accordingly to observe the corresponding topological phase transitions. The ability to read-out the position and the coin state distribution, complemented by explicit interferometric sign measurements, allowed the reconstruction of the scattered reflection amplitudes and thus the computation of the associated bulk topological invariants. As predicted, we also find localized states at the edges between two bulks belonging to different topological phases. In order to analyze the impact of disorder, we have measured invariants of two different types of disordered samples in large ensemble measurements, demonstrating their constancy in one disorder regime and a continuous transition with increasing disorder strength for the second disorder sample.read more
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Topological Photonics
Tomoki Ozawa,Hannah M. Price,Alberto Amo,Nathan Goldman,Mohammad Hafezi,Ling Lu,Mikael C. Rechtsman,David Schuster,Jonathan Simon,Oded Zilberberg,Iacopo Carusotto +10 more
TL;DR: Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light as mentioned in this paper, which holds great promise for applications.
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Exceptional topology of non-Hermitian systems
TL;DR: In this paper, the role of topology in non-Hermitian (NH) systems and its far-reaching physical consequences observable in a range of dissipative settings are reviewed.
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Observation of Topologically Protected Edge States in a Photonic Two-Dimensional Quantum Walk.
Chao Chen,Xing Ding,Jian Qin,Yu He,Yi-Han Luo,Ming-Cheng Chen,Chang Liu,Xi-Lin Wang,Weijun Zhang,Hao Li,Lixing You,Zhen Wang,Da-Wei Wang,Barry C. Sanders,Chao-Yang Lu,Jian-Wei Pan +15 more
TL;DR: This work employs discrete-time quantum walks to investigate a nontrivial topological effect unique to a two-dimensional periodically driven system: chiral edge states can exist at the interface of Floquet insulators whose Chern numbers vanish.
Journal ArticleDOI
Observation of emergent momentum–time skyrmions in parity–time-symmetric non-unitary quench dynamics
Kunkun Wang,Xingze Qiu,Lei Xiao,Xiang Zhan,Zhihao Bian,Barry C. Sanders,Wei Yi,Wei Yi,Peng Xue,Peng Xue +9 more
TL;DR: In this article, the authors theoretically characterize and experimentally detect momentum-time skyrmions in parity-time non-unitary quench dynamics in single-photon discrete-time quantum walks.
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