Multiple decoherence-free states in multi-spin systems.
A numerical procedure is presented for mapping the vicinity of the null-space of the spin relaxation superoperator. The states populating this space, i.e. those with near-zero eigenvalues, of which the two-spin singlet is a well-studied example, are long-lived compared to the conventional T(1) and T...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2011
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| _version_ | 1826299420723904512 |
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| author | Hogben, H Hore, P Kuprov, I |
| author_facet | Hogben, H Hore, P Kuprov, I |
| author_sort | Hogben, H |
| collection | OXFORD |
| description | A numerical procedure is presented for mapping the vicinity of the null-space of the spin relaxation superoperator. The states populating this space, i.e. those with near-zero eigenvalues, of which the two-spin singlet is a well-studied example, are long-lived compared to the conventional T(1) and T(2) spin-relaxation times. The analysis of larger spin systems described herein reveals the presence of a significant number of other slowly relaxing states. A study of coupling topologies for n-spin systems (4≤n≤8) suggests the symmetry requirements for maximising the number of long-lived states. |
| first_indexed | 2024-03-07T05:01:40Z |
| format | Journal article |
| id | oxford-uuid:d87bd264-48e0-4c6b-a170-4fb6e742ac7f |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:01:40Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:d87bd264-48e0-4c6b-a170-4fb6e742ac7f2022-03-27T08:49:03ZMultiple decoherence-free states in multi-spin systems.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d87bd264-48e0-4c6b-a170-4fb6e742ac7fEnglishSymplectic Elements at Oxford2011Hogben, HHore, PKuprov, IA numerical procedure is presented for mapping the vicinity of the null-space of the spin relaxation superoperator. The states populating this space, i.e. those with near-zero eigenvalues, of which the two-spin singlet is a well-studied example, are long-lived compared to the conventional T(1) and T(2) spin-relaxation times. The analysis of larger spin systems described herein reveals the presence of a significant number of other slowly relaxing states. A study of coupling topologies for n-spin systems (4≤n≤8) suggests the symmetry requirements for maximising the number of long-lived states. |
| spellingShingle | Hogben, H Hore, P Kuprov, I Multiple decoherence-free states in multi-spin systems. |
| title | Multiple decoherence-free states in multi-spin systems. |
| title_full | Multiple decoherence-free states in multi-spin systems. |
| title_fullStr | Multiple decoherence-free states in multi-spin systems. |
| title_full_unstemmed | Multiple decoherence-free states in multi-spin systems. |
| title_short | Multiple decoherence-free states in multi-spin systems. |
| title_sort | multiple decoherence free states in multi spin systems |
| work_keys_str_mv | AT hogbenh multipledecoherencefreestatesinmultispinsystems AT horep multipledecoherencefreestatesinmultispinsystems AT kuprovi multipledecoherencefreestatesinmultispinsystems |