English

Detecting topology through dynamics in interacting fermionic wires

Quantum Gases 2020-08-06 v2 Strongly Correlated Electrons

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.

Keywords

Cite

@article{arxiv.2001.09074,
  title  = {Detecting topology through dynamics in interacting fermionic wires},
  author = {Andreas Haller and Pietro Massignan and Matteo Rizzi},
  journal= {arXiv preprint arXiv:2001.09074},
  year   = {2020}
}

Comments

replaced with revised version

R2 v1 2026-06-23T13:20:00.331Z