Quantum dynamic propagator of harmonic oscillator with uniform electric field in N-multimode harmonic oscillator bath: a white noise approach

摘要

In this study, we investigate the e ect of uniform electric eld onthe resulting quantum propagator of the system and environment interaction.We utilized to use the white noise analysis to solve for thepropagator of an open quantum system of a harmonic oscillator which iscoupled to an environment consisting of N-multimode harmonic oscillators.With the presence of uniform electric eld, the quantum propagatorwas obtained and was shown that in degenerate normal modeof the system-environment interaction, the propagator was independenton the electric eld. Moreover, the resulting propagator was derivedand shown that it consists of a product of N simple harmonic oscillatorpropagators, and there is an N ??2 degenerate normal mode frequenciesof the system-environment interaction while the other 2 corresponds tothe non-degenerate normal modes frequencies. Lastly, we have shownhow electric eld a ects the full propagator of the open quantum systemconsisting of simple harmonic oscillator which is coupled to an environmentof N-multimode.