Tunable left-right asymmetry in the dissociation of D$_2^+$ in a two-color laser field

The coherent superposition of a linearly polarized intense IR laser pulse with its first harmonic generates a two-color pulse whose asymmetric shape is controlled by the adjustable delay $\tau$ between the two pulses. By numerically solving the time-dependent Schr\"odinger equation, we simulate the dissociation of D$_2^+$ in such pulses and analyze the left-right asymmetry in the electron-localization during the dissociation of the molecular ion as a function of $\tau$ and the kinetic energy of the fragments. Our theoretical results are compared with new experimental results from the J.R. Macdonald Laboratory at KSU.