Eur. Phys. J. Plus (2021) 136: 842
https://doi.org/10.1140/epjp/s13360-021-01832-y

Regular Article

Inter-pulse delay optimization for dynamical decoupling pulse sequences with up to six refocusing pulses

¹ Faculty of Science, University of Zagreb, Horvatovac 102A, 10000, Zagreb, Croatia
² Division of Physical Chemistry, Ruđer Bošković Institute, Bijenička 54, 10000, Zagreb, Croatia

^c Jiangyang.You@irb.hr

Received: 15 December 2020
Accepted: 2 August 2021
Published online: 14 August 2021

Abstract

We present a computational optimization of the inter-pulse delays of multiple -pulse dynamical decoupling pulse sequences, aiming to preserve the coherence of electron spin embedded in strongly coupled proton spin environments more efficiently. We consider all centrosymmetric multiple -pulse spin echo pulse sequences in the range of three to six -pulses and parametrize them using up to two free parameters. The parameter space is then surveyed using the nuclear spin bath model and cluster correlation expansion methods. We find one maximum of coherence preservation within the constrained parameter space for each total number of -pulses applied and obtain optimized parameters accordingly. We observe that the optimized regimes are essentially identical for both polycrystalline and glassy matrix structures of the proton spin environment. Our methodology also produces good agreements with experimental results reported in the literature.