The method of modeling of open quantum system evolution: calculation of decay coherent state of quantum harmonic oscillator interacting with environment

Present paper is aimed to propose the efficient modeling method of open quantum system evolution. Proposed approach is applied to calculation of decay of coherent state of quantum harmonic oscillator under the action of environment. The comparison of the numerical modeling result with analytical solution is carried out and demonstrates a good coincidence. The applicability of approach to the calculation of two-level system is discussed.