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 …

What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …

We numerically study both the avalanche instability and many-body resonances in strongly
disordered spin chains exhibiting many-body localization (MBL). Finite-size systems behave …

We investigate the critical behavior of the entanglement transition induced by projective
measurements in (Haar) random unitary quantum circuits. Using a replica approach, we …

An interacting quantum system that is subject to disorder may cease to thermalize owing to
localization of its constituents, thereby marking the breakdown of thermodynamics. The key …

We introduce and explore a one-dimensional “hybrid” quantum circuit model consisting of
both unitary gates and projective measurements. While the unitary gates are drawn from a …

Unitary circuits subject to repeated projective measurements can undergo an entanglement
phase transition (EPT) as a function of the measurement rate. This transition is generally …

We study the scrambling of local quantum information in chaotic many-body systems in the
presence of a locally conserved quantity like charge or energy that moves diffusively. The …

Characterizing states of matter through the lens of their ergodic properties is a fascinating
new direction of research. In the quantum realm, the many-body localization (MBL) was …

Machine learning, one of today's most rapidly growing interdisciplinary fields, promises an
unprecedented perspective for solving intricate quantum many-body problems …