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

TL;DR

This paper applies the space-time computational method to simulate Stimulated Raman Adiabatic Passage (STIRAP) in a simple harmonic oscillator, demonstrating an efficient approach for solving time-dependent quantum systems.

Contribution

It introduces the application of the space-time method to model STIRAP in a harmonic oscillator, extending its use to complex multi-state quantum systems.

Findings

Efficient simulation of STIRAP in a harmonic oscillator.

Demonstrates the method's applicability to multi-state systems.

Provides a general computational framework for time-dependent Schrödinger equations.

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{\"o}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.