Topological characterization of chiral models through their long time dynamics
Other Condensed Matter
2018-02-02 v2 Mesoscale and Nanoscale Physics
Quantum Gases
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1708.02778,
title = {Topological characterization of chiral models through their long time dynamics},
author = {Maria Maffei and Alexandre Dauphin and Filippo Cardano and Maciej Lewenstein and Pietro Massignan},
journal= {arXiv preprint arXiv:1708.02778},
year = {2018}
}