We study time dynamics of 1D disordered Heisenberg spin-1/2 chains focusing on a regime
of large system sizes and a long-time evolution. This regime is relevant for observation of …

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 …

Spectral statistics of disordered systems encode Thouless and Heisenberg timescales,
whose ratio determines whether the system is chaotic or localized. We show that the scaling …

We present a detailed analysis of the length-and timescales needed to approach the critical
region of MBL from the delocalised phase, studying both eigenstates and the time evolution …

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 …

The dynamical phase diagram of interacting disordered systems has seen substantial
revision over the past few years. Theory must now account for a large prethermal many-body …

In the past decades, it was recognized that quantum chaos, which is essential for the
emergence of statistical mechanics and thermodynamics, manifests itself in the effective …

The dynamical signatures of quantum chaos in an isolated system are captured by the
spectral form factor, which exhibits as a function of time a dip, a ramp, and a plateau, with the …

In quantum chaotic systems, the spectral form factor (SFF), defined as the Fourier transform
of two-level spectral correlation function, is known to follow random matrix theory (RMT) …

We study many-body quantum dynamics using Floquet quantum circuits in one space
dimension as simple examples of systems with local interactions that support ergodic …