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arXiv · 1706.04136

Topological edge states in periodically-driven trapped-ion chains

Pedro Nevado·Samuel Fernández-Lorenzo·Diego Porras
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Abstract

Topological insulating phases are primarily associated with condensed-matter systems, which typically feature short-range interactions. Nevertheless, many realizations of quantum matter can exhibit long-range interactions, and it is still largely unknown the effect that these latter may exert upon the topological phases. In this Letter, we investigate the Su-Schrieffer-Heeger topological insulator in the presence of long-range interactions. We show that this model can be readily realized in quantum simulators with trapped ions by means of a periodic driving. Our results indicate that the localization of the associated edge states is enhanced by the long-range interactions, and that the localized components survive within the ground state of the model. These effects could be easily confirmed in current state-of-the-art experimental implementations.

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Pedro Nevado, Samuel Fernández-Lorenzo, Diego Porras. 2017-10-23. Topological edge states in periodically-driven trapped-ion chains. https://doi.org/10.1103/physrevlett.119.210401

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