Asymmetry in the momentum distribution of H+$\mathrm{p}$ from dissociative ionization of $\mathrm{H_{2}}$ controlled by the carrier-envelope phase of a few-cycle pulse*

We present theoretical results on the interaction of $\mathrm{H_{2}}$ with an ultrashort linearly polarized laser pulse of 6 fs duration. We investigate the carrier-envelope phase effects of this ultrashort laser pulse on the asymmetry of the momentum distribution of H+$\mathrm{p}$ along the laser polarization direction. To do so, we model the $\mathrm{H_{2}}$ ionization by launching a coherent wavepacket on $\mathrm{H_{2}^{+}}$ potential curves at each field maximum, and then propagate wavepackets in time on $\mathrm{H_{2}^{+}}$ Born-Oppenheimer potential curves coupled by the laser. Nuclear rotation and vibration are both included in the Schr{\"o}dinger equation for $\mathrm{H_{2}^{+}}$ . Our results will be compared to a recent experimental measurement [1]. We will also compare our results to calculations neglecting rotation and discuss the limitations of such a model.\\[4pt] [1] Manuel Kremer \textit{et al.}, Phys. Rev. Lett. 103.213003 (2009)