Atypical eigenstates in the form of quantum scars and fragmentation of Hilbert space due to
conservation laws provide obstructions to thermalization in the absence of disorder. In …

We introduce a new model of interacting spin 1/2. It describes interactions of three nearest
neighbors. The Hamiltonian can be expressed in terms of Fredkin gates. The Fredkin gate …

Repeated projective measurements in unitary circuits can lead to an entanglement phase
transition as the measurement rate is tuned. In this work, we consider a different setting in …

The spreading of correlations after a quantum quench is studied in a wide class of lattice
systems, with short-and long-range interactions. Using a unifying quasiparticle framework …

We investigate the appearance of new types of insulators and superconductors in long-
range (LR) fermionic quantum systems. These phases are not included in the famous' ten …

We study the role of the interaction range on the Hilbert-space fragmentation and many-
body scar states considering a spin-1/2 many-body Hamiltonian describing a generalized …

We introduce a new spin chain which is a deformation of the Fredkin spin chain and has a
phase transition between bounded and extensive entanglement entropy scaling. In this …

At the core of every frustrated system, one can identify the existence of frustrated rings that
are usually interpreted in terms of single–particle physics. We check this point of view …

We study gapless quantum spin chains with spin 1/2 and 1: the Fredkin and Motzkin models.
Their entangled groundstates are known exactly but not their excitation spectra. We first …

The nature of entanglement in many-body systems is a focus of intense research with the
observation that entanglement holds interesting information about quantum correlations in …