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Counting edge modes via dynamics of boundary spin impurities

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arxiv 2111.11428 v2 pith:64UMMECH submitted 2021-11-22 cond-mat.stat-mech quant-ph

Umar Javed , Jamir Marino , Vadim Oganesyan , Michael Kolodrubetz This is my paper · ORCID
classification cond-mat.stat-mechquant-ph
keywords boundaryfielddynamicsedgemodespowerspinautocorrelation
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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.

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