title: Multiple decoherence-free states in multi-spin systems.
abstract: 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.
authors.affiliation: Department of Chemistry, University of Oxford, Physical and Theoretical Chemistry Laboratory, South Parks Road, Oxford OX1 3QZ, UK. hannah.hogben@chem.ox.ac.uk
authors.forename: H J
authors.initials: HJ
authors.lastname: Hogben
authors.forename: P J
authors.initials: PJ
authors.lastname: Hore
authors.forename: Ilya
authors.initials: I
authors.lastname: Kuprov
mesh_terms: D000465:Algorithms; D009682:Magnetic Resonance Spectroscopy / Q000379:methods* / Q000706:statistics & numerical data