We overview the concept of dynamical phase transitions (DPTs) in isolated quantum
systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized …

The presence of algebraically decaying long-range interactions may alter the critical as well
as topological behaviour of a quantum many-body systems. However, when the interaction …

Realizing topological insulators is of great current interest because of their remarkable
properties and possible future applications. There are recent proposals based on Floquet …

Preparing an integrable system in a mixed state described by a thermal density matrix, we
subject it to a sudden quench and explore the subsequent unitary dynamics. To address the …

We study the role of long-range interactions (more precisely, the long-range
superconducting gap term) on the nonequilibrium dynamics considering a long-range p …

In most lattice models, the closing of a band gap typically occurs at high-symmetry points in
the Brillouin zone. Differently, in the Creutz model—describing a system of spinless fermions …

Higher-order topological (HOT) states, hosting topologically protected modes on lower-
dimensional boundaries, such as hinges and corners, have recently extended the realm of …

We study the topological properties of one-dimensional systems undergoing unitary time
evolution. We show that symmetries possessed both by the initial wave function and by the …

We show how to define a dynamical topological invariant for one-dimensional two-band
topological systems after a quantum quench. By analyzing general two-band models of …

We establish the existence of a topological classification of many-particle quantum systems
undergoing unitary time evolution. The classification naturally inherits phenomenology …