Laser-pulse-shape control of photofragmentation in the weak-field limit

We demonstrate theoretically that laser-induced coherent quantum interference control of asymptotic states of dissociating molecules is possible even in the (one-photon) weak-field limit starting from a single vibrational eigenstate. Thus, phase dependence in the interaction with a fixed energy phase-modulated pulse can persist for some time after the pulse is over. This is illustrated for the nonadiabatic process: $\mathrm{I}+{\mathrm{Br}}^{*}\ensuremath{\leftarrow}\mathrm{IBr}\ensuremath{\rightarrow}\mathrm{I}+\mathrm{Br}$, where the relative yield of excited ${\mathrm{Br}}^{*}$ can be changed by pure phase modulation. It is shown that the phase is able to influence wave-packet spreading in the continuum as well as the average internuclear distance in each channel.

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