Polynomially scaling spin dynamics II: further state-space compression using Krylov subspace techniques and zero track elimination
Polynomially scaling spin dynamics II: further state-space compression using Krylov subspace techniques and zero track elimination
We extend the recently proposed state-space restriction (SSR) technique for quantum spin dynamics simulations [Kuprov et al., J. Magn. Reson. 189 (2007) 241–250] to include on-the-fly detection and elimination of unpopulated dimensions from the system density matrix. Further improvements in spin dynamics simulation speed, frequently by several orders of magnitude, are demonstrated. The proposed zero track elimination (ZTE) procedure is computationally inexpensive, reversible, numerically stable and easy to add to any existing simulation code. We demonstrate that it belongs to the same family of Krylov subspace techniques as the well-known Lanczos basis pruning procedure. The combined SSR + ZTE algorithm is recommended for simulations of NMR, EPR and Spin Chemistry experiments on systems containing between 10 and 104 coupled spins.
45-51
Kuprov, Ilya
bb07f28a-5038-4524-8146-e3fc8344c065
27 August 2008
Kuprov, Ilya
bb07f28a-5038-4524-8146-e3fc8344c065
Kuprov, Ilya
(2008)
Polynomially scaling spin dynamics II: further state-space compression using Krylov subspace techniques and zero track elimination.
Journal of Magnetic Resonance, 195 (1), .
(doi:10.1016/j.jmr.2008.08.008).
Abstract
We extend the recently proposed state-space restriction (SSR) technique for quantum spin dynamics simulations [Kuprov et al., J. Magn. Reson. 189 (2007) 241–250] to include on-the-fly detection and elimination of unpopulated dimensions from the system density matrix. Further improvements in spin dynamics simulation speed, frequently by several orders of magnitude, are demonstrated. The proposed zero track elimination (ZTE) procedure is computationally inexpensive, reversible, numerically stable and easy to add to any existing simulation code. We demonstrate that it belongs to the same family of Krylov subspace techniques as the well-known Lanczos basis pruning procedure. The combined SSR + ZTE algorithm is recommended for simulations of NMR, EPR and Spin Chemistry experiments on systems containing between 10 and 104 coupled spins.
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Published date: 27 August 2008
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Computational Systems Chemistry
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Local EPrints ID: 337122
URI: http://eprints.soton.ac.uk/id/eprint/337122
PURE UUID: f4e7eace-fb1b-45e2-890b-d31d59a297e1
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Date deposited: 19 Apr 2012 12:58
Last modified: 15 Mar 2024 03:43
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