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Journal of Experimental and Theoretical Physics

Influence of multiphoton detunings from resonance on adiabatic processes in a five-level system

E. A. Gazazyan, G. G. Grigoryan

Published Apr 1, 2017• 6 citations
Publisher

Abstract

The Schrödinger equation for a five-level system has been analyzed numerically for different values of multiphoton detuning from exact resonances. The range of admissible deviations for which the effect of multiphoton detunings on the eigenstate of the interaction Hamiltonian imitating a three-level system is insignificant has been determined. The effective population transfer and the possibility of double storage of optical information have been demonstrated.

DOI
10.1134/s1063776117030128

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The Schrödinger equation for a five-level system has been analyzed numerically for different values of multiphoton detuning from exact resonances. The range of admissible deviations for which the effect of multiphoton detunings on the eigenstate of the interaction Hamiltonian imitating a three-level system is insignificant has been determined. The effective population transfer and the possibility of double storage of optical information have been demonstrated.
We consider adiabatic interaction of five-level atomic systems and their media with four short laser pulses under the condition of all two-photon detunings being zero. We derive analytical expressions for eigenvalues of the system's Hamiltonian and determine conditions of adiabaticity for both the atom and the medium. We analyze, in detail, the system's behavior when the eigenvalue with nonvanishing energy is realized. As distinct from the usual dark state of a five-level system (corresponding to zero eigenvalue), which is a superposition of three states, in our case the superposition of four states does work. We demonstrate that this seemingly unfavorable case nevertheless completely imitates a three-level system not only for a single atom but also in the medium, since the propagation equations are also split into those for three- and two-level media separately. We show that, under certain conditions, all the coherent effects observed in three-level media, such as population transfer, light slowing, light storage, and so on, may efficiently be realized in five-level media. This has an important advantage that the light storage can be performed twice in the same medium; i.e., the second pulse can be stored without retrieving the first one, and then the two pulses can be retrieved in any desired sequence.
The necessary and sufficient conditions for the stability of adiabatic states in three-level quantum systems are investigated analytically and numerically. Various possible configurations of three-level systems under exact two-photon resonance are considered. It is shown that in all these schemes, the lifetime of the studied states is determined by the dephasing time between levels that are not connected by a dipole transition. An efficient population transfer through the b-state at room temperature is demonstrated despite relatively long relaxation times. It is also demonstrated that, in case of large one-photon detuning, the so-called b-state has the same lifetime as that of the dark state. The evolution of adiabatic states for arbitrary values of single-photon detunings has been studied numerically.
It is possible to prepare atoms or molecules in a selected excited state, one efficient way is to transfer population by stimulated-Raman-adiabatic-passage, but must understand off-resonant effects in coherent excitation in order to improve the efficient of transfer. Here, consider the transfer of population in a three-level system of stimulated-Raman- adiabatic-passage with computer analysis. The transfer efficiency of two-photon resonant is worked out and the outcome demonstrates the possibility of complete transfer. Also analysis the effect of two-photon off-resonant, single-photon off-resonant and difference of laser's intension.