ControllingHD+andH2+Dissociation with the Carrier-Envelope Phase Difference of an Intense Ultrashort Laser Pulse

Carrier-envelope phase difference effects in the dissociation of the ${\mathrm{H}\mathrm{D}}^{+}$ molecular ion in the field of an intense, linearly polarized, ultrashort laser pulse are studied in the framework of the time-dependent Schrödinger equation. We consider a reduced-dimensionality model in which the nuclei are free to vibrate along the field polarization and the electrons move in two dimensions. The laser has a central wavelength of 790 nm and a pulse length of 10 fs with intensities in the range $6\times {10}^{14}$ to $9\times {10}^{14}\mathrm{W}/{\mathrm{c}\mathrm{m}}^2$. We find that the angular distribution of dissociation to $p+\mathrm{D}$ and $\mathrm{H}+d$ can be controlled by varying the phase difference, generating differences between the dissociation channels of more than a factor of 2. Moreover, the asymmetry is nearly as large for ${\mathrm{H}}_2^{+}$ dissociation.