We present a new algorithm for vibrational control in deuterium molecules that is feasible with current experimental technology. A pump mechanism is used to create a coherent superposition of the D2+ vibrations. A short, intense infrared control pulse is applied after a chosen delay time to create selective interferences. A `chessboard' pattern of states can be realized in which a set of even- or odd-numbered vibrational states can be selectively annihilated or enhanced. A technique is proposed for experimental realization and observation of this effect using 5 fs pulses of 790 nm radiation, with intermediate intensity (5e13 W/cm2)
@article{arxiv.0806.2253,
title = {Quantum Chessboards in the Deuterium Molecular Ion},
author = {C. R. Calvert and T. Birkeland and R. B. King and I. D. Williams and J. F. McCann},
journal= {arXiv preprint arXiv:0806.2253},
year = {2009}
}