Counting edge modes via dynamics of boundary spin impurities
Statistical Mechanics
2024-01-02 v2 Quantum Physics
Abstract
We study dynamics of the one-dimensional Ising model in the presence of static symmetry-breaking boundary field via the two-time autocorrelation function of the boundary spin. We find that the correlations decay as a power law. We uncover a dynamical phase diagram where, upon tuning the strength of the boundary field, we observe distinct power laws that directly correspond to changes in the number of edge modes as the boundary and bulk magnetic field are varied. We suggest how the universal physics can be demonstrated in current experimental setups, such as Rydberg chains.
Keywords
Cite
@article{arxiv.2111.11428,
title = {Counting edge modes via dynamics of boundary spin impurities},
author = {Umar Javed and Jamir Marino and Vadim Oganesyan and Michael Kolodrubetz},
journal= {arXiv preprint arXiv:2111.11428},
year = {2024}
}