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

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 …

Universal quantum computing requires nonstabilizer (magic) quantum states. Quantifying
the nonstabilizerness and relating it to other quantum resources is vital for characterizing the …

The eigenstate thermalization hypothesis explains the emergence of the thermodynamic
equilibrium in isolated quantum many-body systems by assuming a particular structure of …

In this paper we study the many-body localization (MBL) transition and relate it to the
eigenstate structure in the Fock space. Besides the standard entanglement and multifractal …

We analyze the saturation value of the bipartite entanglement and number entropy starting
from a random product state deep in the many-body localized (MBL) phase. By studying the …

Quantum systems evolving unitarily and subject to quantum measurements exhibit various
types of non-equilibrium phase transitions, arising from the competition between unitary …

We perform a thorough and complete analysis of the Anderson localization transition on
several models of random graphs with regular and random connectivity. The unprecedented …

Unlike the well-known Mott's argument that extended and localized states should not coexist
at the same energy in a generic random potential, we formulate the main principles and …