Final Report Summary - COCOSPEC (Simulating Coherent Control with Spectroscopic Accuracy)
One exotic type of molecules that we have developed new theory for were recently discovered in laboratories in the Netherlands, Switzerland and the US. These molecules begin life as, for instance, normal hydrogen molecules (H2), but are pumped with energy from lasers so that they become very large, with the distance between the two (bound) atoms reaching almost macroscopic dimensions. When the two atoms approach each other during the vibrational motion, an electron is squeezed out instead, and orbits the molecule at great distance. A good way to think about it is that the molecule tethers on the brink of dissociation (bond-breaking) and ionization (removal of an electron). There is much we still do not understand about these molecules, but our new theory, developed during the Marie Curie IEF, has already helped explain many of the exotic properties and observations of these molecules.
The dynamics of competing ionization and dissociation in a diatomic molecule embodies many of the key challenges facing molecular spectroscopy, such as strong non-adiabatic couplings between electronic and nuclear motion, energy flow between different degrees of freedom (electronic, vibrational, rotational), delicately balanced interference effects between ionization and dissociation continua, complex (overlapping) resonances and internal time-scales spanning orders of magnitude. We have used recently developed time-dependent Multichannel Quantum Defect Theory (MQDT) to obtain complementary time and frequency domain perspectives on the complex dynamics in H2. MQDT is used to solve the stationary, time-independent, Schrödinger equation for the molecular Hamiltonian with all degrees of freedom included, which in turn provides a highly adapted and converged basis for the solution of the time-dependent Schrödinger equation. The calculations yield the molecular dynamics in full detail, providing both a detailed picture of energy flow in real time, and reproducing the complicated energy- resolved spectra with high accuracy. In this context coherent control can be seen as an excellent tool for molecular spectroscopy, providing a creative use of laser pulses and pulse sequences to study molecules, in close analogy to NMR. The results shed light not only on the control mechanisms, but also on the fundamental photodynamics of the ubiquitous H2 molecule.