Cooperative Resonance Interaction Between One-and Two-Photon Super-fluorescences Trough the Vacuum Field

Abstract

Abstract. The theoretical approach takes in consideration the cooperative phenomena which appear between three particle in two-photon resonance in the process of single-and two-photon decay. This type of single-and two-quanta cooperative effect between three subsystems of radiators are described by master equation which takes in to account three-particle cooperative resonance in the system. The resonance between the spontaneous emissions by two-and single photon transitions of three inverted radiators from the ensemble is proposed in order to accelerate the collective decay rate of the entangled photon pairs generated by the system. This effect is accompanied with the interferences between one-photon and two-quantum collective transitions of three inverted radiators from the ensemble. The three particle collective decay rate is defined in the description of three atomic correlation functions. IntroductionRecently much attention is devoted to the problem of coherence which appears not only between the "individual" photons but also between groups of quanta. The generation of non-classical coherent electromagnetic field (EMF) in multi-photon emission and the interaction of coherent radiation with matter (nuclei, atoms and solids) have been the subjects of several theoretical and experimental studies in recent years [1]- [4].Examples include the higher-order coherence in multi-photon generation of light the two-photon micro-maser emission [4], two-photon lasers the parametric down conversion, four-wave mixing and other effects in optical diapason [2], and the possibility of coherent generation of photons in x and gamma -spectral regions [3].This article aims to investigate the cooperative emission of the inverted system of radiators taking into account the resonance between one-and two-photon cooperative transitions of three atomic subsystems. Since the two-photon cooperative phenomenon has a small two-quantum cooperative emission rate[5], we propose to extend our attention to the new type of cooperative resonance interaction between three radiators, in which the single-photon transitions of two radiators enter the two-quantum resonance with dipole forbidden transition of third atom. This cooperative effect between three particles occurs through the vacuum fluctuations of EMF and can amplify or diminish the spontaneous emission rates of each atomic subsystem as a function of the distances between them. To obtain more powerful pulses of entangled photons, it is proposed the cooperative interaction of three radiator subsystems in which one of them are inverted relatively the dipole forbidden transition of Hydrogen-like or Helium-like atoms (ions)

Coherence Proprieties of Entangled Bi-Modal Field and Its Application in Holography and Communication

“…Let us consider two nonlinear processes of light generation in laser [16,13] and collective decay phenomena [17,18]. In the second order of interaction of light with matter, these processes strongly connect the quantum fluctuations of two waves.…”

“…Let us first discuss the three particle cooperative effects represented in Figure 1 described in Refs. [17][18][19]. This interaction is focused on a new type of three particle collective spontaneous emission, in which the decay rate of three atomic subsystems is proportional to the product of the numbers of atoms in each subsystem, N s N r N d in the case all three sub-ensemble are equidistant.…”

“…The quantum master equations take into consideration the correlations between three subsystems S, R and D in the single and two-photons cooperative exchanges between the atoms of each sub-ensemble (see Refs. [17][18][19]). The three-particles cooperative interaction through the vacuum of EMF is established taking into consideration the mutual influences between the single-photon polarization of S and R atomic subsystems and the non-linear polarization of the D atom (see Refs.…”

“…The three-particles cooperative interaction through the vacuum of EMF is established taking into consideration the mutual influences between the single-photon polarization of S and R atomic subsystems and the non-linear polarization of the D atom (see Refs. [17][18][19]). To understand this effect it is necessary to examine the new correlation function which appears between the polarization of three different radiators from S, R and D subsystems:…”

“…II t; t þ τ ðÞ ¼ G bi II t; t þ τ ðÞ þ G bs r ðÞ II t; t þ τ ðÞ according to the Refs. [17,18] the correlation between the atoms of D ensemble is proportional to the function…”