Time dependent complex scaling: Quantum dynamics in strongly perturbed systems

Abstract

We have begun development of a tool for investigating the bound state dynamics of single electron systems in intense fields. This was done by implementing the method of uniform complex scaling in a 1D test system in two different ways and have shown that the use of the "c-norm" in non-Hermitian quantum mechanics can fail for time dependent simulations. We have developed the method of complex backscaling which transforms the wavefunction from the complex scaled space back into real space and have shown that it is more robust than the "c-norm" and predicts the correct ionization when compared to simulations done in real space. We have also begun using the complex scaling method in a 2D NZ model but it seems that the nature of the potential requires a more difficult type of scaling which causes problems within the calculations.