  The evolution of mode entanglement is analysed for a system of two
indistinguishable bosons with two accessible modes. Whereas entanglement
remains stationary whenever the number of bosons in each mode is left
invariant, it exhibits a rich dynamics under the effects of single- and
two-particle tunneling. By analysing such effects in paradigmatic families of
states, our results provide guidance for the design and control of specific
dynamics of mode entanglement, by varying the tunneling transition rates and
the preparation of the initial state.
