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This work explores the possibility of controlling the dissociation of amonochromatically driven one-dimensional Morse oscillator by recreatingbarriers, in the form of invariant tori with irrational winding ratios, atspecific locations in the phase space. The control algorithm proposed by Huang{\it et al.} (Phys. Rev. A {\bf 74}, 053408 (2006)) is used to obtain ananalytic expression for the control field. We show that the control term,approximated as an additional weaker field, is efficient in recreating thedesired tori and suppresses the classical as well as the quantum dissociation.However, in the case when the field frequency is tuned close to a two-photonresonance the local barriers are not effective in suppressing the dissociation.We establish that in the on-resonant case quantum dissociation primarily occursvia resonance-assisted tunneling and controlling the quantum dynamics requiresa local perturbation of the specific nonlinear resonance in the underlyingphase space.

Local phase space control and interplay of classical and quantum effects in dissociation of a driven Morse oscillator