The central idea of this review is to consider quantum field theory models relevant for
particle physics and replace the fermionic matter in these models by a bosonic one. This is …

Lattice gauge theories, which originated from particle physics in the context of Quantum
Chromodynamics (QCD), provide an important intellectual stimulus to further develop …

Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying
quantum field theories, and has led to impressive achievements. In particular, it significantly …

We study disorder-free many-body localization in the flat-band Creutz ladder, which was
recently realized in cold-atoms in an optical lattice. In a non-interacting case, the flat-band …

Four-Fermi quantum field theories in (2+ 1) dimensions lie among the simplest models in
high-energy physics, the understanding of which requires a non-perturbative lattice …

Topologically ordered phases of matter, although stable against local perturbations, are
usually restricted to relatively small regions in phase diagrams. Thus, their preparation …

We present a detailed study of the topological Schwinger model [Phys. Rev. D 99, 014503
(2019) 2470-0010 10.1103/PhysRevD. 99.014503], which describes (1+ 1) quantum …

We show that synthetic spin-orbit coupling for ultracold atoms in optical Raman potentials
can be exploited to build versatile quantum simulators of correlated Chern insulators …

In this work, we study the entanglement and topological properties of an extended flat-band
Creutz ladder by considering a compacted localized state (CLS). Based on the CLS picture …

We study the phenomenon of cosmological particle production of Dirac fermions in a
Friedmann-Robertson-Walker spacetime, focusing on a $(1+ 1)-$ dimensional case in which …