Topological characterization of chiral models through their long time dynamics

By M. Maffei, A. Dauphin, F. Cardano, Maciej Lewenstein, P. Massignan. 2017

163 citations recorded by the source corpus.

We study chiral models in one spatial dimension, both static and periodically driven. We demonstrate that their topological properties may be read out through the long time limit of a bulk observable, the mean chiral displacement. The derivation of this result is done in terms of spectral projectors, allowing for a detailed understanding of the physics. We show that the proposed detection converges rapidly and it can be implemented in a wide class of chiral systems. Furthermore, it can measure arbitrary winding numbers and topological boundaries, it applies to all non-interacting systems, independently of their quantum statistics, and it requires no additional elements, such as external fields, nor filled bands.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/b4010a2180a11e098f0d1d0596bf7fd189604e38

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

Citations in the corpus

Topological photonics (2018, background): “On a similar basis, the concept of mean chiral displacement was introduced to measure the winding of a chiral Hamiltonian from real-space measurements (Mondragon-Shem et al., 2014; Cardano et al., 2016; Maffei et al., 2018; Meier et al., 2018).”
Topological characterizations of an extended Su–Schrieffer–Heeger model (2019, unknown): “[35] Maffei, M.”