Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions
Abstract
Realizing and characterizing interacting topological phases in synthetic quantum systems is a formidable challenge. Here, we propose a Floquet protocol to realize the antiferromagnetic Heisenberg model with power-law decaying interactions. Based on analytical and numerical arguments, we show that this model features a quantum phase transition from a liquid to a valence bond solid that spontaneously breaks lattice translational symmetry and is reminiscent of the Majumdar-Ghosh state. The different phases can be probed dynamically by measuring the evolution of a fully dimerized state. We moreover introduce an interferometric protocol to characterize the topological excitations and the bulk topological invariants of the interacting many-body system.
Keywords
Cite
@article{arxiv.2012.09185,
title = {Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions},
author = {Stefan Birnkammer and Annabelle Bohrdt and Fabian Grusdt and Michael Knap},
journal= {arXiv preprint arXiv:2012.09185},
year = {2024}
}
Comments
13 pages, 12 figures, revised version contains significantly extended discussion of the implementation of the Zak protocol