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Frontiers in Optics

Superradiant multiple-pulse emission from a dipole-ordered state prepared by localized photons

Akira Shojiguchi, Kiyoshi Kobayashi, Suguru Sangu, Kazuo Kitahara, Motoichi Ohtsu

Published Jan 1, 2003• 0 citations
Publisher

Abstract

A model of an N two-level system interacting with optical near fields is presented. Multiple pulse generation from a dipole-ordered state is predicted, which can be achieved by local state manipulation of an N two-level system. The origins of the phenomenon are discussed by comparison with Dicke’s superradiance.
DOI
10.1364/fio.2003.tus5

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A model is presented for a system of N two-level excitons interacting with each other via optical near fields represented as localized photons. In a low exciton density limit, quantum dynamics of the dipole moments or quantum coherence between any two energy levels is linear. As the exciton density becomes higher, the dynamics becomes nonlinear, and the system has several kinds of quasi-steady states of the dipole distribution depending on the system parameters. These quasi-steady states are classified with the help of the effective Hamiltonian that is derived from the renormalization of degrees of freedom of localized photons with a unitary transformation. Among them there exist a “ferromagnetic” state (dipole-ordered state), in which all electric dipoles are aligned in the same direction, and an “anti-ferromagnetic” state, where all dipoles alternatingly change the direction. In addition, we show that an arbitrary state can be transformed into a dipole-ordered state by manipulating initial values of the population differences appropriately. For example, if we initially prepare a dipole-forbidden state, which is similar to the “anti-ferromagnetic” state and cannot be coupled with propagating far fields, and if we manipulate the distribution of the population differences properly, the initial state evolves into a dipole-ordered state. The radiation property of such dipole-ordered states is examined in detail. Neglecting energy dissipation by radiation, we find that some of the ordered states show strong radiation equivalent to Dicke's superradiance. Then by introducing a radiation reservoir, the dissipative master equation is derived. Solving the equation with and without quantum correlations, we numerically show that multiple peaks in the radiation profile can survive in both cases. The mechanism of this phenomenon is discussed, and a brief comment on an application to photonic devices on a nanometer scale is given.
This paper describes a novel model for the dynamics of the dipole coherence in two-level quantum dots (QDs) interacting with localized photons. The model is based on the fact that the coupling on a nanometer scale between QDs via optical near fields represented by localized photons is much stronger than that via propagating far fields. The model predicts that an intriguing phenomenon such as a collective dipole oscillation occurs if the initial quantum states are locally manipulated. The origin of this kind of collective behaviour is discussed in view of Dicke's superradiance.
The theory of superradiance by an ensemble of two-level atoms embedded in a dielectric host is developed. It is shown that the near dipole-dipole interaction of a dense collection of two-level atoms is enhanced by the presence of the host material, decreasing the pulse temporal width and increasing the peak pulse intensity of superradiative emission. The influence of the inversion-dependent detuning effect on the parameters of the emitted pulses is investigated.© (1999) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
We analyze the stability of super- and subradiant states in a system of identical two-level atoms in the near-Dicke limit, i.e., when the atoms are very close to each other compared to the wavelength of resonant light. The dynamics of the system are studied using a renormalized master equation, both with multipolar and minimal-coupling interaction schemes. We show that both models lead to the same result and, in contrast to nonrenormalized models, predict that the relative orientation of the (coaligned) dipoles is unimportant in the Dicke limit. Our master equation is of relevance to any system of dipole-coupled two-level atoms, and gives bounds on the strength of the dipole-dipole interaction for closely spaced atoms. Exact calculations for small atom systems in the near-Dicke limit show the increased emission times resulting from the evolution generated by the strong dipole-dipole interaction. However, for large numbers of atoms in the near-Dicke limit, it is shown that as the number of atoms increases, the effect of the dipole-dipole interaction on collective emission is reduced.