Journal article
Long coherence times for edge spins
- Abstract:
- We show that in certain one-dimensional spin chains with open boundary conditions, the edge spins retain memory of their initial state for very long times, even at infinite temperature. The long coherence times do not require disorder, only an ordered phase. In the integrable Ising and XYZ chains, the presence of a strong zero mode means the coherence time is infinite. When Ising is perturbed by interactions breaking the integrability, the coherence time remains exponentially long in the perturbing couplings. We show that this is a consequence of an edge “almost” strong zero mode that almost commutes with the Hamiltonian. We compute this operator explicitly, allowing us to estimate accurately the plateau value of edge spin autocorrelator.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 514.3KB, Terms of use)
-
- Publisher copy:
- 10.1088/1742-5468/aa73f0
Authors
- Publisher:
- Institute of Physics
- Journal:
- Journal of Statistical Mechanics: Theory and Experiment More from this journal
- Volume:
- 2017
- Issue:
- 6
- Pages:
- 063105
- Publication date:
- 2017-06-28
- Acceptance date:
- 2017-05-15
- DOI:
- ISSN:
-
1742-5468
- Pubs id:
-
pubs:708416
- UUID:
-
uuid:a1557933-5263-4349-8a12-16a00f15a521
- Local pid:
-
pubs:708416
- Source identifiers:
-
708416
- Deposit date:
-
2017-07-18
Terms of use
- Copyright holder:
- IOP Publishing Ltd and SISSA Medialab srl
- Copyright date:
- 2017
- Notes:
- © 2017 IOP Publishing Ltd and SISSA Medialab srl. This is the accepted manuscript version of the article. The final version is available online from Institute of Physics at: https://doi.org/10.1088/1742-5468/aa73f0
If you are the owner of this record, you can report an update to it here: Report update to this record