title: Quantum mechanical simulation of solid effect dynamic nuclear polarisation using Krylov-Bogolyubov time averaging and a restricted state-space.
abstract: A strategy is described for simulations of solid effect dynamic nuclear polarisation that reduces substantially the dimension of the quantum mechanical problem. Averaging the Hamiltonian in the doubly rotating frame is used to confine the active space to the zero quantum coherence subspace. A further restriction of the Liouville space is made by truncating higher spin order states, which are weakly populated due to the presence of relaxation processes. Based on a dissipative transport equation, which is used to estimate the transport of the magnetisation starting from single spin order to higher spin order states, a minimal spin order for the states is calculated that needs to be taken into account for the spin dynamics simulation. The strategy accelerates individual spin calculations by orders of magnitude, thus making it possible to simulate the polarisation dynamics of systems with up to 25 nuclear spins.
authors.affiliation: Sir Peter Mansfield Magnetic Resonance Centre, School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, UK. karabanov@hotmail.co.uk
authors.forename: Alexander
authors.initials: A
authors.lastname: Karabanov
authors.forename: Anniek
authors.initials: A
authors.lastname: van der Drift
authors.forename: Luke J
authors.initials: LJ
authors.lastname: Edwards
authors.forename: Ilya
authors.initials: I
authors.lastname: Kuprov
authors.forename: Walter
authors.initials: W
authors.lastname: Köckenberger