Carrier-envelope phase control of the dissociation of $\rm{H}_2^+$ at long infrared wavelengths ( $800 - 2000$~nm )*

We perform a systematic calculation for $\rm{H}_2^+$ in intense, ultrashort laser pulses with wavelength in the range $800$~nm $ \sim$ $2000$~nm. For three-cycle pulses, we found an asymmetric spatial distribution of $p+\rm{H}$ fragments as is generally anticipated for few cycle pulses. The effects of the longer wavelengths relative to the commonly used $800$~nm case are discussed. The calculated carrier-envelope phase (CEP) effects are interpreted as the interference of different multiphoton pathways whose relative phase is CEP-dependent [1,2]. The important pathways are identified and used to explain the observed wavelength dependence. \\[4pt] [1] V. Roudnev and B. D. Esry, Phys. Rev. Lett. 99, 220406 (2007)\\[0pt] [2] J. J. Hua and B. D. Esry, J. Phys. B 42, 085601 (2009)