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arXiv · 1306.0250

Application of the Space-Time Method to Stimulated Raman Adiabatic Passage on the Simple Harmonic Oscillator

Xingjun Zhang·Charles A. Weatherford
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Abstract

The space-time method is applied to a model system-the Simple Harmonic Oscillator in a laser field to simulate the Stimulated Raman Adiabatic Passage (STIRAP) process. The Space-Time method is a computational theory first introduced by Weatherford et. al. to solve Time-Dependent Systems with one boundary value and applied to electron spin system with invariant Hamiltonian [Journal of Molecular Structure {\bf 592} 47]. The implementation in the present work provides an efficient and general way to solve the Time-Dependent Schr{ö}dinger Equation and can be applied to multi-state systems. The algorithm for simulating the Simple Harmonic Oscillator STIRAP can be applied to solve STIRAP problems for complex systems.

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Xingjun Zhang, Charles A. Weatherford. 2013-06-02. Application of the Space-Time Method to Stimulated Raman Adiabatic Passage on the Simple Harmonic Oscillator. https://arxiv.org/abs/1306.0250

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