Carrier-Envelope Phase Effects for Long Wavelength Dissociation of $\mathbf{HeH^{+}}$

Much emphasis has been placed on using intense, short laser pulses for coherent control of molecular dissociation. Due to their accessibility to theorists, the majority of these studies have focused on $\mathrm{H_{2}^{+}}$ and its isotopes. Control over the spatial asymmetry of the dissociating fragments has been demonstrated in experiments starting from $\mathrm{D_{2}}$ by varying the carrier envelope phase (CEP)~[1]. Theoretical interpretations of the control mechanisms have been provided within a Floquet-like picture~[2-3]. We desire to extend the theoretical study of the coherent control of dissociation to heteronuclear systems. Here, we present results on the response of $\mathrm{HeH^{+}}$, the simplest heteronuclear species with an electronic asymmetry in the standard Born-Oppenheimer approximation, to an intense laser pulse. We study the CEP dependence of the spatial asymmetry and dissociation probability for the system in intense fields with long wavelengths ($\lambda=800$ to $4000$ nm). [1] M. F. Kling {\it et~al.}, Science {\bf 312}, 246 (2006). [2] V. Roudnev, B. D. Esry, and I. Ben-Itzhak, Phys. Rev. Lett. {\bf 93}, 163601 (2004). [3] J.~J. Hua and B.~D. Esry, J. Phys. B {\bf 42}, 085601 (2009).