International Workshop on High Energy Physics and Quantum Field Theory (QFTHEP)
The Influence Functional approach to the quantum systems dynamics
Alexander Alexandrovich Biryukov, Марк Александрович Шлеенков
Abstract
We study the dynamics of multi-level quantum systems under the influence of electromagnetic field.Basing on the path integral approach to the quantum density matrix and transitions probability we represent functional averaging electromagnetic field influence.We demonstrate that the transition probability can be written as a path integral of real functional (the product of exponent and cosine).The numerical integration algorithm of the transitions probability in energy representation was developed.The numerical simulations of the quantum system dynamics under electromagnetic field action describe the well-known Rabi oscillations, their fluctuations and multi-photon quantum transitions.