Historical research guide · 1010 · 2014
Laser-assisted ultrafast photoassociation in HeH2+
Bo Y. Chang · Seokmin Shin · Jesús Santamaría · Ignacio R. Sola
In one minute
Two particles fly at each other, pass, and fly apart. Photoassociation is the trick of switching on a laser at exactly the right instant so that they leave bound together instead. Bo Chang, Seokmin Shin, Jesús Santamaría and Ignacio Sola apply it to one of the simplest three-body systems in chemistry — a proton meeting a helium cation, which is the same encounter as an alpha particle meeting a hydrogen atom — and ask whether a strong femtosecond pulse can make them stick as the molecular ion HeH2+. The answer, from solving the time-dependent Schrödinger equation for the electron and the nuclei together, is yes, and the interesting part is what controls it. Timing matters more than power: the pulse has to be synchronised with the moment of closest approach. Push the amplitude or the duration up and the yield does not simply rise, it oscillates. And the ways the pair can be lost, ionisation and inelastic scattering, are suppressed by keeping the pulse to fifty femtoseconds or less.
Connection
Chapter 12 turns on a single idea — that the effective potential between two light nuclei is not a fixed thing, and that changing the environment changes how often they get through it. Electron screening in a metal lattice is one way to do that; a laser field dressing the collision is another, and this paper is that second way worked out in full for a real three-body system. Chapter 10 keeps the general lesson: a structured electromagnetic field is not merely heating matter here, it is choosing the outcome of an encounter, and the control variable is phase and timing rather than raw energy.
From the source
A femtosecond laser can bind a collision that would otherwise come apart. The authors report control on the photoassociation of a proton and a helium cation — equivalently an alpha particle and a hydrogen atom — to form HeH2+, assisted by strong femtosecond laser pulses.Abstract, first sentence
The result comes from solving the dynamics, not from a rate formula. The authors integrate the time-dependent Schrödinger equation using soft-core Coulomb potentials in a one-plus-one dimensional model — one dimension for the electron, one for the nuclei — with a nuclear Hamiltonian that carries the dynamics across four electronic states, so the pulse is allowed to move population between surfaces as the collision proceeds.Abstract, second sentence
The collision studied is a hot one, with an impact kinetic energy of the order of an electronvolt, and the yield is tracked against two things at once: the shape of the initial nuclear wave function, and the parameters of the laser. Both matter, which is the point — the incoming state is part of the experiment, not a boundary condition to be assumed away.Abstract, third sentence
Timing is the control knob. The authors predict high sensitivity to the synchronisation of the laser with the collision time, meaning that the pulse has to arrive during the encounter itself rather than merely be present. What would settle it is a pump-probe measurement on this system with sub-collision timing resolution.Abstract, fourth sentence, first prediction
More laser is not monotonically better. The predicted yield shows Rabi oscillations as a function of pulse amplitude and duration — the population cycles between states rather than saturating — so an experiment that simply raises the intensity can walk past the optimum without noticing it.Abstract, fourth sentence, second prediction
The loss channels have a cure with a number attached. Ionisation and inelastic scattering, the two ways the pair fails to end up bound, can be minimised with pulses of fifty femtoseconds or shorter — which turns the theoretical result into a specification a laser laboratory can meet.Abstract, fourth sentence, closing clause
The way in
https://doi.org/10.1016/j.chemphys.2014.01.014How to cite it
Bo Y. Chang, Seokmin Shin, Jesús Santamaría, Ignacio R. Sola (2014) Laser-assisted ultrafast photoassociation in HeH2+ doi:10.1016/j.chemphys.2014.01.014