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Trapped Ion Quantum Computing

Counting edge modes via dynamics of boundary spin impurities

arXiv
Authors: Umar Javed, Jamir Marino, Vadim Oganesyan, Michael Kolodrubetz

Year

2021

Paper ID

41386

Status

Preprint

Abstract Read

~2 min

Abstract Words

92

Citations

N/A

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.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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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.

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