The Hamiltonian model describing the interaction between a two-level atom with two electromagnetic localized modes in an imperfect one-dimensional photonic crystals is introduced. The possibility of generating Schroedinger-cat-like states of these defect modes is reported. The physical origin of this dynamical behaviour is pointed out.
A model of the propagation of a quantized electromagnetic field in a one-dimensional photonic crystal that contains two-level atoms that interact with the field is proposed. The model separately considers the interaction of the quantized radiation with the quantum system and with the photonic crystal. The use of the model is exemplified by its application to the study of the decay of excited states of one- and two-level atoms placed in the photonic crystal. The possibility of the transformation of the front of a single photon by a finite dielectric is demonstrated.
Abstract In this study, the evolution spectrum and emission dynamics of atoms in a defect-free quasiperiodic photonic crystal are studied. Quasiperiodic photonic crystal have advantages over periodic photonic crystal in terms of abundant and strong localized modes due to the quasiperiodic and self-approximation structures of quasiperiodic photonic crystal. The localized modes exhibit extremely large local density of states and high-quality factors in the quasiperiodic photonic crystal. The frequencies of the large local density of states of the localized modes do not depend on the polarization and the position in a particular area in the quasiperiodic photonic crystals. Due to the extremely large local density of states in the defect-free quasiperiodic photonic crystal, strong coupling between the atom and the localized mode in the quasiperiodic photonic crystal can easily occur. Correspondingly, the population of the excited state displays Rabi oscillation, and the emission spectrum of the atom splits into two peaks. Moreover, the Rabi oscillation and the evolution spectrum of the dressed atom depend on the radiation linewidth.
We investigate spontaneous emission from a two-level atom embedded in a photonic crystals with three-dimensional dispersion relation, where the dependence of wave vectors on direction is taken into account. Due to the difference of the density of states of electromagnetic modes between a three-dimensional and a one-dimensional photonic crystal (lack of singularity), the dynamics of the population in the excited state and the emitted field are quite different from those of a one-dimensional photonic crystal. There is no quasi-oscillation for the population evolution. The localized field and the propagating field cannot coexist. When the upper level moves from the gap to the band, the emitted field changes from a localized field to a diffusion field and then to a propagating field. The energy of the diffusion and propagating fields propagates out incoherently and coherently, respectively. An analytical expression for the Lamb shift is obtained. The Lamb shift for the current case is smaller than that in an ordinary vacuum or in one-dimensional photonic crystals.
We studied the transmission spectrum of a one-dimensional photonic crystal containing a defect layer in which electromagnetically induced transparency is possible. The analysis is performed taking into account the spatial inhomogeneity of interacting fields in the photonic crystal. It is found that the transmission spectrum of such a photonic crystal depends on the spatial overlap of defect modes excited by probe and control radiations. It is shown that electromagnetically induced transparency can result in a considerable narrowing of the defect mode spectrum.
We present theoretical approach for description of a classical light propagation and an atom‐field interaction for a system of two level atoms in one dimensional finite photonic crystal (PC). Classical light propagation description based on Green’s functions technique. Atoms are interacting with a quantized light field mode propagating thought the photonic crystal. By using this model it is possible to consider time‐spatial excitation distribution and the single photon shape transformation by finite one‐dimensional PC.