  There has been great interest in recent years in quantum control landscapes.
Given an objective $J$ that depends on a control field $\varepsilon$ the
dynamical landscape is defined by the properties of the Hessian $\delta^2
J/\delta\varepsilon^2$ at the critical points $\delta J/\delta\varepsilon=0$.
We show that contrary to recent claims in the literature the dynamical control
landscape can exhibit trapping behavior due to the existence of special
critical points and illustrate this finding with an example of a 3-level
$\Lambda$-system. This observation can have profound implications for both
theoretical and experimental quantum control studies.
