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IEEE Lasers and Electro-Optics Society Annual Meeting (LEOS)

New nonlinear effects in emission (absorption) of individual resonance photons by two-level atoms trapped in damped microcavity

Vladislav Cheltsov

Published Nov 8, 2002• 0 citations
Publisher

Abstract

We show for a single mode regime with weakly decaying oscillations at the Rabi frequency between the initial (with photon in the cavity) and final (without photon) that there are atomic symmetric superpositions. The results shown here demonstrate the possibility to control the light signals by trapping the emitting (absorbing) atoms in the microcavity with varied Q-quality, and as such may find applications in optical logic microcells.

DOI
10.1109/leos.2000.890837

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We show for a single mode regime with weakly decaying oscillations at the Rabi frequency between the initial (with photon in the cavity) and final (without photon) that there are atomic symmetric superpositions. The results shown here demonstrate the possibility to control the light signals by trapping the emitting (absorbing) atoms in the microcavity with varied Q-quality, and as such may find applications in optical logic microcells.
The new cooperative nonlinear effects in emission and absorption of resonance photon by two level atoms trapped in damped single-mode one-dimensional microcavity have been revealed and investigated nonpertubatibely. Two cases have been considered: the case of an excited ultracold atom localized initially in the ground vibrational state of the trap's parabolic well and the case of one and two two level motionless atoms in diferent initial states. The dynamics and spectrum of emission (absorption) have been shown to be determined in particular by o --the rate of decaying of mode in the empty cavity. The gigantic optical "Moessbauer" effect has been discovered under resonance condition <>ωv=2g<>\omega _v=2g<>ωv​=2g<>. Out of this condition there arise numerous resonances of the higher order on different frequencies so that one thermal impulse has been observed instead of the "Moessbauer peak". In the case of two motonless atoms non-emitting ("dark") antisymmetric and emitting ("luminous") symmetric atomic superpositional states have been revealed.
The new cooperative nonlinear effects in emission and absorption of resonance photon by two level atoms trapped in damped single-mode one-dimensional microcavity have been revealed and investigated nonpertubatibely. Two cases have been considered: the case of an excited ultracold atom localized initially in the ground vibrational state of the trap's parabolic well and the case of one and two two level motionless atoms in diferent initial states. The dynamics and spectrum of emission (absorption) have been shown to be determined in particular by o --the rate of decaying of mode in the empty cavity. The gigantic optical ''Moessbauer'' effect has been discovered under resonance condition \omega _v=2g . Out of this condition there arise numerous resonances of the higher order on different frequencies so that one thermal impulse has been observed instead of the ''Moessbauer peak''. In the case of two motonless atoms non-emitting (''dark'') antisymmetric and emitting (''luminous'') symmetric atomic superpositional states have been revealed.
The time-dependent spectral properties and nonlinear dynamics of a spontaneous photon emitted by two level atom, trapped in damped nanocavity and coupled to a single resonance mode, have been investigated. The results have been obtained with the help of new nonperturbative approach by solving exactly the Schrödinger equation. The theory accounts exactly and simultaneously processes of emission, reabsorptions and leakage of photon. The solution was found with the Green functions formalism, supplemented with the novel algorithm in operating causal singular functions and fundamentals of the theory of quasi-stationary systems. The obtained distributions and emission dynamics are presented with plots as functions of photon frequency detuning and time for various value Γ/4g. For Γ/4g <1 the spectrum is a triplet inside the cavity and doublet outside it. In this case the total emission probability is described by decaying oscillations. For Γ/4g ≥ 1 and Γ/4g >> 1 the spectrum consists of a single central line decaying exponentially with profile depending on value Γ/4g.
The nonperturbative theory of the cooperative spontaneous emission from a two level atom trapped in one-dimentional damped nanocavity with a single resonance mode is presented. The time-dependent spectral properties and nonlinear dynamics of a separate photon emission by the micro-molecular-like system "excited atom coupled to a resonance decaying mode" have been analyzed. The investigation has been carried out by solving the Schrödinger equation in the interaction picture with the help of the Green functions method in the Heitler-Ma's form. The formalism was supplemented with the novel algorithm in operating causal singular functions and with fundamentals of the theory of quasi-stationary systems. The proposed theory accounts automatically of both reabsorptions of emitted photon and its simultaneous escaping out of the cavity. Solutions of the wave equation were found without using intermediate virtual states and series expansions. In accordance with the theory of quasi-stationary systems the field of mode decaying exponentially in the empty nanocavity was represented with the Lorenz-shaped packet of stationary photonic states (quasi-modes). The electro-dipolar interaction between the atom and the mode field was adopted to be switched on suddenly. The expressions and plots of emission probabilities spectral densities together with photon emission probability dynamics as functions of time for various ratios Γ/4g of photon escaping rate Γ and coupling constant g are presented. For Γ/4g <1 the transient emission spectrum reveals the presence of two symmetrical side-bands and of the central peak, the latter decaying in time at the rate ∝ Γ/2 so that the final spectrum is a doublet. In this case the photon emission probability is described by decaying oscillations. On the contrary for Γ/4g ≥ 1 the spectrum is a singlet and the emission occurs in exponentially decaying ways.
We consider the process of spontaneous emission of a two-level atom embedded into a periodic layered dielectric structure. When the resonant atomic frequency lies within the photon-density-of-states gap, of width \ensuremath{\Gamma}, the atom emits light during a time interval t\ensuremath{\Gamma}\ensuremath{\ll}1 until the spontaneous emission becomes fully inhibited. We discuss the enhancing of spontaneous emission by tuning the atomic resonance with a one-mode microcavity. In the \ensuremath{\lambda}/4-shifted distributed feedback microcavities which possess the \ensuremath{\delta}-function-like density of states, in the middle of the gap, the process of spontaneous emission has damped Rabi oscillation behavior; the damping depends on the width of the gap and the height of its walls. A profile of the density-of-states gap can be determined from the experimental data on the temporal behavior of the atomic spontaneous decay.