Journal article
Stochastic strong zero modes and their dynamical manifestations
- Abstract:
- Strong zero modes (SZMs) are conserved operators localised at the edges of certain quantum spin chains, which give rise to long coherence times of edge spins. Here we define and analyse analogous operators in one-dimensional classical stochastic systems. For concreteness, we focus on chains with single occupancy and nearest-neighbour transitions, in particular particle hopping and pair creation and annihilation. For integrable choices of parameters we find the exact form of the SZM operators. Being in general non-diagonal in the classical basis, the dynamical consequences of stochastic SZMs are very different from those of their quantum counterparts. We show that the presence of a stochastic SZM is manifested through a large class of exact transient relations between time-correlation functions, absent in the same system with periodic boundaries.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 374.3KB, Terms of use)
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- Publisher copy:
- 10.1103/PhysRevE.107.L042104
Authors
- Publisher:
- American Physical Society
- Journal:
- Physical Review E More from this journal
- Volume:
- 107
- Article number:
- L042104
- Publication date:
- 2023-04-28
- Acceptance date:
- 2023-04-06
- DOI:
- EISSN:
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2470-0053
- ISSN:
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2470-0045
- Language:
-
English
- Keywords:
- Pubs id:
-
1338722
- Local pid:
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pubs:1338722
- Deposit date:
-
2023-04-24
Terms of use
- Copyright date:
- 2023
- Rights statement:
- Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
- Licence:
- CC Attribution (CC BY)
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