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physica status solidi (b)

Resonant Coherent Energy Transfer. Role of Initial Conditions

A. S. Agabekyan

Published Jul 1, 1983• 3 citations
Publisher

Abstract

Abstract The dependence of dynamics of coherent resonant energy transfer of electronic excitation between impurity ions in condensed media on the initial conditions of the donor excitation is investigated. Their crucial role in the coherence of the energy transfer process is shown. Validity criteria of different limiting cases of the energy resonant transfer are specified taking into account initial conditions of excitation. The “excitation trapping” effect at the coherent energy transfer is also shown to be present.

DOI
10.1002/pssb.2221180106

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Abstract The dependence of dynamics of coherent resonant energy transfer of electronic excitation between impurity ions in condensed media on the initial conditions of the donor excitation is investigated. Their crucial role in the coherence of the energy transfer process is shown. Validity criteria of different limiting cases of the energy resonant transfer are specified taking into account initial conditions of excitation. The “excitation trapping” effect at the coherent energy transfer is also shown to be present.
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Abstract The non‐resonant energy transfer at zero temperature between two interacting two‐level quantum systems in the presence of relaxation is studied by aid of the density matrix formalism in the framework of the Markoff approximation. This gives the time evolution of the four probabilities to find the system in each of the four levels owing to the fact that at the initial time, the energy is in the excited state of the donor. The results obtained lead to the Davydov and Serikov solutions for resonant transfer of energy, and to the special one for the indirect coupling between a single level and a continuous medium.
Herewith we present the quantum theory of the vibronic laser, which is based on the crucial role played by the host crystal phonons in the laser dynamics. In the solid state transition-metal ion laser the operation takes place between the vibronically broadened electronic levels of the gain center, thus the laser action is accompanied by the creation or annihilation of the host lattice phonons. The nonequilibrium coherent phonons, produced in the process of the nonradiative energy transition from the photoexcited impurity ion, pump the energy level, from whivh the laser action takes place. One can say that the laser photons are produced at the cost of lattice phonons. This is the reason why the coherent phonons strongly influence the character of the laser action and govern the complicated laser dynamics. In the laser equations, derived by us, the number of coherent phonons is treated as one of dynamical variables coupled with the number of photons. In solution we observe the eect of energy pulling between photons and phonons. Phonons follow all forms of the photon dynamics including self-pulsations and chaotic dynamics.
The transferred energy between two (three) radiators localized in two (three) cavities in interaction through an evanescent field is investigated. In the good-cavity limit the exact solution of the Schrödinger equation for this system is obtained. An interesting problem appears when the located excitation in one atom from one distinguished cavity is transferred to a second atom from another cavity. We analyze analytically and numerically the dynamics of the transferred energy as a function of the coupling constant between the cavities. Another interesting problem is the trapping condition for two atoms flying through different coupled cavities. For subsystems consisting of two atomic levels, we know that, only a dynamic trapping condition can be found. In this paper, we show that due to the coupling of the cavities, the trapping condition for two atoms flying through different cavities becomes possible. This effect depends on the coupling constants between the cavities and the dipole interaction between the radiators and cavity modes. A similar problem is studied in the bad-cavity limit, when the lifetime of photons in the cavity is smaller than the decay time of excited atoms. In this case, we write the analytical solution of the master equation and show its entanglement. We obtain that entangled states arise from non-entangled initial states of the atoms. The exact description of such a system opens up new possibilities for the processing of quantum information with two optical cavities.