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Identifying Topological Phase Transitions in Experiments Using Manifold Learning

Optics 2021-04-09 v1 Mesoscale and Nanoscale Physics

Abstract

We demonstrate the identification and classification of topological phase transitions from experimental data using Diffusion Maps: a nonlocal unsupervised machine learning method. We analyze experimental data from an optical system undergoing a topological phase transition and demonstrate the ability of this approach to identify topological phase transitions even when the data originates from a small part of the system, and does not even include edge states.

Keywords

Cite

@article{arxiv.2104.03607,
  title  = {Identifying Topological Phase Transitions in Experiments Using Manifold Learning},
  author = {Eran Lustig and Or Yair and Ronen Talmon and Mordechai Segev},
  journal= {arXiv preprint arXiv:2104.03607},
  year   = {2021}
}

Comments

17 p

R2 v1 2026-06-24T00:57:15.881Z