One and two-photon Fock state master equations for open quantum optical systems

In the standard treatment of open quantum optical systems based on Born-Markov master equations, photonic excitations are either produced within the system (through the de-excitation of atoms) or are pumped through an outside coherent/classical light source (laser) [1]. However, recent advancements in quantum information science have indicated the need to control the dynamics of quantum systems with non-classical light sources, for instance, wave packets in exactly one or two Fock states [2]. However, this requires modeling environments that are spectrally consisting of one or two photons and rederiving the master equation under such non-Markovian conditions. In this poster, we’ll discuss our recent review of this subject. In particular, we will focus on the generic derivation of one and two-photon Fock state master equations utilizing the machinery of input-output formalism and quantum Langevin equations [3]. As an example, we apply the obtained master equations to the simple problem of interaction of one or two-photon Gaussian wavepackets with two-level atoms.