The holographic principle, theorized to be a property of quantum gravity, postulates that the
description of a volume of space can be encoded on a lower-dimensional boundary. The …

A bstract Heisenberg time evolution under a chaotic many-body Hamiltonian H transforms
an initially simple operator into an increasingly complex one, as it spreads over Hilbert …

We review recent progress regarding the double scaled Sachdev-Ye-Kitaev model and
other p-local quantum mechanical random Hamiltonians. These models exhibit an …

We investigate the delocalization of operators in nonchaotic quantum systems whose
interactions are encoded in an underlying graph or network. In particular, we study how fast …

We study a sparse version of the Sachdev-Ye-Kitaev (SYK) model defined on random
hypergraphs constructed either by a random pruning procedure or by randomly sampling …

The quantum dynamics of spin systems with uniform all-to-all interaction are often studied in
the totally symmetric space (TSS) of maximal total spin. However, the TSS states are atypical …

The sparse version of the Sachdev-Ye-Kitaev (SYK) model reproduces essential features of
the original SYK model while reducing the number of disorder parameters. In this Research …

The saturation of a recently proposed universal bound on the Lyapunov exponent has been
conjectured to signal the existence of a gravity dual. This saturation occurs in the low …

We analyze a model of qubits that we argue has an emergent quantum gravitational
description similar to the fermionic Sachdev-Ye-Kitaev (SYK) model. The model we consider …

We consider a model of Parisi where a single particle hops on an infinite-dimensional
hypercube, under the influence of a uniform but disordered magnetic flux. We reinterpret the …