Sparsity dependence of Krylov state complexity in the SYK model

Raghav G. Jha, Ranadeep Roy

We study the Krylov state complexity of the Sachdev-Ye-Kitaev (SYK) model for $N\le 28$ Majorana fermions with $q$-body fermion interaction with $q=4,6,8$ for a range of sparse pa…