Thermalizing quantum systems are conventionally described by statistical mechanics at
equilibrium. However, not all systems fall into this category, with many-body localization …

A fundamental assumption in statistical physics is that generic closed quantum many-body
systems thermalize under their own dynamics. Recently, the emergence of many-body …

In this work we study the effect of static disorder on the growth of commutators—a probe of
information scrambling in quantum many-body systems—in a variety of contexts. We find …

Quasicrystals are long-range ordered and yet nonperiodic. This interplay results in a wealth
of intriguing physical phenomena, such as the inheritance of topological properties from …

We study scrambling, an avatar of chaos, in a weakly interacting metal in the presence of
random potential disorder. It is well known that charge and heat spread via diffusion in such …

The quantum Kibble-Zurek mechanism (QKZM) predicts universal dynamical behavior near
the quantum phase transitions (QPTs). It is now well understood for the one-dimensional …

The growth of commutators of initially commuting local operators diagnoses the onset of
chaos in quantum many-body systems. We compute such commutators of local field …

A key property of many-body localized Hamiltonians is the area law entanglement of even
highly excited eigenstates. Matrix product states (MPS) can be used to efficiently represent …

The dynamics of many-body systems spanning condensed matter, cosmology, and beyond
are hypothesized to be universal when the systems cross continuous phase transitions. The …

Characterizing strongly correlated matter is an increasingly central challenge in quantum
science, where structure is often obscured by massive entanglement. It is becoming clear …