  We study the dynamics of dipolar bosons in an external harmonic trap. We
monitor the time evolution of the occupation in the natural orbitals and
normalized first- and second-order Glauber's correlation functions. We focus in
particular on the relaxation dynamics of the Shannon entropy. Comparison with
the corresponding results for contact interactions is presented. We observe
significant effects coming from the presence of the non-local repulsive part of
the interaction. The relaxation process is very fast for dipolar bosons with a
clear signature of a truly saturated maximum entropy state. We also discuss the
connection between the entropy production and the occurrence of correlations
and loss of coherence in the system. We identify the long-time relaxed state as
a many-body state retaining only diagonal correlations in the first-order
correlation function and building up anti-bunching effect in the second-order
correlation function.
