Thermodynamic systems typically conserve quantities (known as charges) such as energy
and particle number. The charges are often assumed implicitly to commute with each other …

The entanglement entropy of subsystems of typical eigenstates of quantum many-body
Hamiltonians has recently been conjectured to be a diagnostic of quantum chaos and …

Hawking's discovery that black holes can evaporate through radiation emission has posed a
number of questions that with time became fundamental hallmarks for a quantum theory of …

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 …

We study the bipartite von Neumann entanglement entropy and matrix elements of local
operators in the eigenstates of an interacting integrable Hamiltonian (the paradigmatic spin …

In noninteracting isolated quantum systems out of equilibrium, local subsystems typically
relax to nonthermal stationary states. In the standard framework, information on the rest of …

Given a statistical ensemble of quantum states, the corresponding Page curve quantifies the
average entanglement entropy associated with each possible spatial bipartition of the …

Quantum many-body scars (QMBS) constitute a new quantum dynamical regime in which
rare “scarred” eigenstates mediate weak ergodicity breaking. One open question is to …

The eigenstate entanglement entropy is a powerful tool to distinguish integrable from
generic quantum-chaotic models. In integrable models, the average eigenstate …

In a seminal paper, Page found the exact formula for the average entanglement entropy for a
pure random state. We consider the analogous problem for the ensemble of pure fermionic …