Counting edge modes via dynamics of boundary spin impurities
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866914624985628672 |
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| author | Javed, Umar Marino, Jamir Oganesyan, Vadim Kolodrubetz, Michael |
| author_facet | Javed, Umar Marino, Jamir Oganesyan, Vadim Kolodrubetz, Michael |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_11428 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Counting edge modes via dynamics of boundary spin impurities Javed, Umar Marino, Jamir Oganesyan, Vadim Kolodrubetz, Michael Statistical Mechanics Quantum Physics 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. |
| title | Counting edge modes via dynamics of boundary spin impurities |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2111.11428 |