Carrier-envelope phase effect on the asymmetric $\mathrm{H_{2}^{+}}$ dissociation in an ultrashort pulse using Floquet theory*

The tilted structure of the asymmetry pattern of $\mathrm{H_{2}^{+}}$dissociation as a function of carrier-envelope phase (CEP) and nuclear kinetic energy release (KER) at low energies (0 $\sim$3eV) has been seen both theoretically [1] and experimentally [2, 3]. We present a method to interpret this tilted structure using a Floquet-like theory [1]. In this formalism, it is convenient to rewrite the contribution of a given Floquet channel $\mathrm{n}$ to the KER spectrum in polar form with phase $\delta_{n}(E)$ , where $\mathrm{E}$ is the KER, which enables us to explain the tilt as a result of the interference between different channels. Our calculations demonstrate the dependence of the asymmetry pattern on wavelength, duration and CEP.\\[4pt] [1] J.J.Hua \textit{et al.}, J. Phys. B 42 085601 (2009)\\[0pt] [2] Manuel Kremer \textit{et al.}, Phys. Rev. Lett. 103.213003 (2009)\\[0pt] [3] M.F.Kling \textit{et al.}, Mol. Phys. (2008)