A method for the ab initio simulation of STIRAP (stimulated Raman adiabatic passage) [1,2] laser quantum control of the energy level poulations of atomic ions will be described. The method employs a new algorithm for the solution of the time- dependent Schr"odinger equation which avoids the time-propagator and uses spectral elements in time with a spectral spatial basis. This results in a set of coupled simultaneous equations and is thus an implicit stable procedure. In order to treat the continuum problem (ionization), a complex absorbing potential is used. The spectral spatial basis used is the Coulomb Sturmians. As an initial application, the control of the levels of atomic hydrogen will be presented.  S.A. Rice and M. Zhao, Optical Control of Molecular Dynamics, Wiley, New York, 2000.  M. Shapiro and P. Brumer, Principles of the Quantum Control of Molecular Processes, Wiley, New York, 2003.  C.A. Weatherford, E. Red, and A. Wynn III, J. Mol. Structure (Theochem) 592, 47 (2002).  J. Avery, Hyperspherical Harmonics and Generalized Sturmians, Kluwer, Dordrecht, 2000.
APS Division of Atomic, Molecular and Optical Physics Meeting Abstracts
- Pub Date:
- June 2007