  We study the temporal evolution of the entanglement hamiltonian of an
interval after a global quantum quenchin free lattice models in one spatial
dimension. In a harmonic chain we explore a quench of the frequency parameter.
In a chain of free fermions at half filling we consider the evolution of the
ground state of a fully dimerised chain through the homogeneous hamiltonian. We
focus on critical evolution hamiltonians. The temporal evolutions of the gaps
in the entanglement spectrum are analysed. The entanglement hamiltonians in
these models are characterised by matrices that provide also contours for the
entanglement entropies. The temporal evolution of these contours for the
entanglement entropy is studied, also by employing existing conformal field
theory results for the semi-infinite line and the quasi-particle picture for
the global quench.
