Sparse SYK and traversable wormholes

We investigate two sparse Sachdev-Ye-Kitaev (SYK) systems coupled by a bilinear term as holographic quantum mechanical description of an eternal traversable wormhole in the low temperature limit. Each SYK system consists $N$ Majorana fermions random $q$-body interactions. The degree sparseness is captured regular hypergraph such way that Hamiltonian contains exactly $k\,N$ independent terms. improve on theoretical understanding property using known measures expansion. show version model gapped with ground state close to thermofield double state. Using Krylov subspace and parallelization techniques, we simulate for $q=4$ $q=8.$ sparsity allows us explore larger values than ones existing literature all-to-all SYK. analyze detail two-point functions transmission amplitude signals between systems. identify range parameters where revivals obey scaling predicted holography can be interpreted traversing wormhole.