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 …

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 …

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 …

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 …

The interplay between unitary dynamics and local quantum measurements results in
unconventional nonunitary dynamical phases and transitions. In this paper we investigate …

We study disorder-induced ergodicity breaking transition in high-energy eigenstates of
interacting spin-1/2 chains. Using exact diagonalization, we introduce a cost function …

Quantum emulators, owing to their large degree of tunability and control, allow the
observation of fine aspects of closed quantum many-body systems, as either the regime …

We investigate the structure of many-body wave functions of 1D quantum circuits with local
measurements employing the participation entropies. The leading term in system size …

We study the growth of the number entropy SN in one-dimensional number-conserving
interacting systems with strong disorder, which are believed to display many-body …

Polynomially filtered exact diagonalization method (POLFED) for large sparse matrices is
introduced. The algorithm finds an optimal basis of a subspace spanned by eigenvectors …