  Dynamical properties of two-component mass-imbalanced few-fermion systems
confined in a one-dimensional harmonic trap following a sudden quench of
interactions are studied. It is assumed that initially the system is prepared
in the non-interacting ground state and then, after a sudden quench of
interactions, the unitary evolution is governed by interacting many-body
Hamiltonian. By careful analysis of the evolution of the Loschmidt echo,
density distributions of the components, and entanglement entropy between them,
the role of mass imbalance and particle number imbalance on the system's
evolution stability are investigated. All the quantities studied manifest a
dramatic dependence on the number of heavy and lighter fermions in each
component at a given quench strength. The results may have implications for
upcoming experiments on fermionic mixtures with a well-defined and small number
of particles.
