| START Conference Manager |
I studied and analyzed the so-called Quantum Optics toolbox developed for Matlab. I studied the algorithms and generalized them to handle multilevel atom-light interaction scenarios using Mathematica. The Mathematica code defines functions designed to convert Hamiltonian and Liouvilian operators into superoperators acting in the space of flattened density matrices. The code symbolically generates density-matrix rate equations that can be either solved numerically or can be handled algebraically. It is projected that the use of these routines allow an adoption of an advanced approach to automating the process of obtaining and solving the equations of motion for quantum systems with minimal effort. As a validating example, I obtain and solve the density-matrix rate equations for a three-level atom interacting with two light fields and compare the results to the ones available in the literature.
[Abstract (DOCX)]
START Conference Manager (V2.61.0 - Rev. 2250)