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 …

Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

We report universal statistical properties displayed by ensembles of pure states that
naturally emerge in quantum many-body systems. Specifically, two classes of state …

A bstract We derive higher moments in the statistical distribution of OPE coefficients in
holographic 2D CFTs, and show that such moments correspond to multiboundary Euclidean …

We investigate the crucial role played by a global symmetry in the purification timescales
and the phase transitions of monitored free fermionic systems separating a mixed and a …

Unitary designs have become a vital tool for investigating pseudorandomness, since they
approximate the statistics of the uniform Haar ensemble. Despite their central role in …

We present evidence for a duality between Jackiw-Teitelboim gravity minimally coupled to a
free massive scalar field and a single-trace two-matrix model. One matrix is the Hamiltonian …

The eigenstate thermalization hypothesis (ETH) explains why nonintegrable quantum many-
body systems thermalize internally if the Hamiltonian lacks symmetries. If the Hamiltonian …

We develop a class of matrix models that implement and formalize the eigenstate
thermalization hypothesis (ETH) and point out that, in general, these models must contain …

The concept of “deep thermalization” has recently been introduced to characterize moments
of an ensemble of pure states, resulting from projective measurements on a subsystem …