The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …

The article reviews the physics of Anderson localization on random regular graphs (RRG)
and its connections to many-body localization (MBL) in disordered interacting systems …

The pillars of quantum theory include entanglement and operators' failure to commute. The
Page curve quantifies the bipartite entanglement of a many-body system in a random pure …

Quantum simulators have recently enabled experimental observations of the internal
thermalization of quantum many-body systems. Often, the global energy and particle number …

For a generic quantum many-body system, the quantum ergodic regime is defined as the
limit in which the spectrum of the system resembles that of a random matrix theory (RMT) in …

We study the thermalizing properties of the mass-deformed Sachdev-Ye-Kitaev model, in a
regime of parameters where the eigenstates are ergodically extended over just portions of …

The search for a quantum theory of gravity has led to the discovery of quantum many-body
systems that are dual to gravitational models with quantum properties. The perhaps most …

Results are presented for a Floquet Ising chain with duality twisted boundary conditions,
taking into account the role of weak integrability breaking in the form of four-fermion …

Many discrete optimization problems are exponentially hard due to the underlying glassy
landscape. This means that the optimization cost exhibits multiple local minima separated by …

Fermi's golden rule applies in the limit where an initial quantum state is weakly coupled to a
continuum of other final states overlapping its energy. Here we investigate what happens …