Long coherence times for edge spins
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, t...
| Glavni autori: | , , , |
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| Format: | Journal article |
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Institute of Physics
2017
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| _version_ | 1826288402697289728 |
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| author | Kemp, J Yao, N Laumann, C Fendley, P |
| author_facet | Kemp, J Yao, N Laumann, C Fendley, P |
| author_sort | Kemp, J |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T02:13:09Z |
| format | Journal article |
| id | oxford-uuid:a1557933-5263-4349-8a12-16a00f15a521 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:13:09Z |
| publishDate | 2017 |
| publisher | Institute of Physics |
| record_format | dspace |
| spelling | oxford-uuid:a1557933-5263-4349-8a12-16a00f15a5212022-03-27T02:12:23ZLong coherence times for edge spinsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a1557933-5263-4349-8a12-16a00f15a521Symplectic Elements at OxfordInstitute of Physics2017Kemp, JYao, NLaumann, CFendley, PWe 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. |
| spellingShingle | Kemp, J Yao, N Laumann, C Fendley, P Long coherence times for edge spins |
| title | Long coherence times for edge spins |
| title_full | Long coherence times for edge spins |
| title_fullStr | Long coherence times for edge spins |
| title_full_unstemmed | Long coherence times for edge spins |
| title_short | Long coherence times for edge spins |
| title_sort | long coherence times for edge spins |
| work_keys_str_mv | AT kempj longcoherencetimesforedgespins AT yaon longcoherencetimesforedgespins AT laumannc longcoherencetimesforedgespins AT fendleyp longcoherencetimesforedgespins |