Cosine-type Absorbing Optical Potential for the Modeling of Quantum Dynamics with the Fourier Grid and Optimizer Packages

In order to model the spectroscopic and scattering properties of a quantum system, we propose explore new absorbing complex-type optical potential based on combination cosine functions. This function provides high degree smoothness joint with physical real-type potential. The capabilities this are investigated in terms its effect otherwise freely evolving dynamics. We use our open-source programs implement Fourier Grid method Optimizer package (in Matlab), available at https://sourceforge.net/projects/optimizer-sovkov/ https://sourceforge.net/projects/optimizer-sovkov/. Keywords: dynamics; damping boundary conditions; potential; method; spectroscopy ultracold ensembles.