We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

The transverse field Ising and XY models (the simplest quantum spin models) provide the
organising principle for the rich variety of interconnected subjects which are covered in this …

When a system is driven across a quantum critical point at a constant rate, its evolution must
become nonadiabatic as the relaxation time τ diverges at the critical point. According to the …

We study the dynamics of the relative phase of a bilayer of two-dimensional superfluids after
the two superfluids have been decoupled. We find that on short time scales the relative …

We study an integrable spin chain with three spin interactions and the staggered field (λ)
while the latter is quenched either slowly [in a linear fashion in time (t) as t/τ, where t goes …

We study the dynamical quantum phase transitions (DQPTs) manifested in the subsequent
unitary dynamics of an extended Ising model with an additional three spin interactions …

The ground state of the one-dimensional Bose-Hubbard model at unit filling undergoes the
Mott-superfluid quantum phase transition. It belongs to the Kosterlitz-Thouless universality …

We review quantum phase transitions of spin systems in transverse magnetic fields taking
the examples of the spin-1/2 Ising and XY models in a transverse field. Beginning with an …

We explore the robustness of universal dynamical scaling behavior in a quantum system
near criticality with respect to initialization in a large class of states with finite energy. By …

The nonequilibrium ultracold bosonic quantum dynamics in finite optical lattices of unit filling
following a linear interaction quench from a superfluid to a Mott insulator state and vice …