Precise knowledge of the time evolution of small quantum systems interacting with a continuum of excited states of the embedding environment is necessary in many practical situations. One example is the dynamics of a strongly confined quantum dot coupled to phonons and placed in a cavity with quantized electromagnetic modes. Real-time path integral offers a numerically exact method to obtain the dynamics of the reduced density matrix of such systems. The method takes into account non-Markovian memory effects appearing due to the interaction with the continuum of excitations. The approach is also extended to take into account non-Hamiltonian contributions to the dynamics. In the talk I will describe details of the formalism and give examples of practical calculations, results of which can be used to achieve a desired quantum state of the system.

Room 301/5 at Birzhevaya line, 14