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 …

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 …

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 …

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 …

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 …

We construct a two-tensor model with order-3 and present its W-representation. Moreover
we derive the compact expressions of correlators from the W-representation and analyze the …

We study a vast family of continuum Rokhsar-Kivelson (RK) states, which have their ground
state encoded by a local quantum field theory. These describe certain quantum magnets …

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 …