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arXiv · 2001.09074

Detecting topology through dynamics in interacting fermionic wires

Andreas Haller·Pietro Massignan·Matteo Rizzi
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Abstract

We describe a protocol to read out the topological invariant of interacting 1D chiral models, based on measuring the mean chiral displacement of time-evolving bulk excitations. We present analytical calculations and numerical Matrix Product State simulations of interacting Su-Schrieffer-Heeger (SSH) chains, demonstrating how the mean chiral displacement allows to distinguish between topological insulator, trivial insulator and symmetry-broken phases. Finally, we provide an experimental blueprint for realizing a model displaying these three phases and describe how to detect those.

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Andreas Haller, Pietro Massignan, Matteo Rizzi. 2020-01-24. Detecting topology through dynamics in interacting fermionic wires. https://doi.org/10.1103/physrevresearch.2.033200

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