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

Russian version

DOI: 10.21883/EOS.2022.05.54434.7-22

Sovkov V. B.

^1,2, Wu J.², Ma J.²

¹St. Petersburg State University, St. Petersburg, Russia
²State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan, China

Email: v.sovkov@spbu.ru, wujz@sxu.edu.cn, mj@sxu.edu.cn

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

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