No abstract

To the best of our knowledge, this is the first report identifying as the causative gene for human NOA and POI. Furthermore, our pedigree analysis shows an autosomal recessive mode of inheritance for NOA and POI caused by in this family.

where B is an effective external magnetic field for the central spin [53], N is the number of spins in the bath, A j is the transverse coupling amplitude, and ∆ j is the longitudinal interaction. The model (1) is integrable if ∆ j and A j are related through ∆ 2 j −A 2 j = Const., see [32,38,39]. Although this type of models, e.g. (1), were known as an exactly solvable model long time ago [50], the binomial sets of Bethe ansatz roots C M N +1 impose a big numerical challenge in calculation of quantum dynamics of this model [6, 7,36,37]. Here M is the number of total down spins in the system. Importance of Hamiltonian (1) is in its promising applications to realistic problems in quantum metrology, based on Nitrogen Vacancy (NV) centers [54], highly symmetric molecules with N nuclear spins coupled to the nuclear spin of a central atom [5, 55], etc.The general central spin problem with non-uniform couplings, for example, A j = A exp(−α(j − 1)/N ) where α is the inhomogeneity parameter, is integrable but its