Transfer of the state of a broadband single-photon packet in non-resonant interaction with isolated systems of different physical nature: General approach

Under the conditions of the Markov approximation, a master equation is derived that describes the transfer of the state of a single- photon broadband packet to the state of a solitary object, depending on the nature of the latter. A single- photon excitation is a broadband packet with a Gaussian frequency distribution (an information signal) that interacts non- resonantly with a selected high- quality resonator mode (an intermediary). The latter also interacts non- resonantly (in the dispersion limit) with a working cell whose natural frequency is resonant with the central frequency of the packet. The derivation is based on quantum stochastic differential equations, which naturally follow from the construction of an effective interaction Hamiltonian based on the algebraic theory of resonance interactions.