  Quantum skyrmionic phase is modelled in a 2D helical spin lattice. This
topological skyrmionic phase retains its nature in a large parameter space
before moving to a ferromagnetic phase. Next nearest-neighbour interaction
improves the stability and it also causes a shift of the topological phase in
the parameter space. Nonanalytic behaviour of the rate function observed, when
the system which is initially in a quantum skyrmion phase is quenched to a
trivial quantum ferromagnetic phase, indicates a dynamical quantum phase
transition. Dynamical quantum phase transition is absent when the system
initially in a skyrmion phase is quenched to a helical phase.
