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Laser Physics

Adiabatic control of atomic population and distortion-free propagation of short laser pulses in multilevel media

G. G. Grigoryan, E. A. Gazazyan, V. O. Chaltykyan, O. Tikhova

Published Feb 11, 2014• 7 citations
Publisher

Abstract

A relatively simple technique of analytic calculation based on the method of quasienergies is proposed, which allows all necessary conditions for lossless short pulse propagation in a multilevel atomic medium to be revealed. The method is illustrated for three- and five-level atomic systems. The dynamics of pulse propagation in a multilevel medium is demonstrated for the case of a W-system of levels. The conditions for adiabatic interaction in a medium are obtained.

DOI
10.1088/1054-660x/24/3/035301

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A relatively simple technique of analytic calculation based on the method of quasienergies is proposed, which allows all necessary conditions for lossless short pulse propagation in a multilevel atomic medium to be revealed. The method is illustrated for three- and five-level atomic systems. The dynamics of pulse propagation in a multilevel medium is demonstrated for the case of a W-system of levels. The conditions for adiabatic interaction in a medium are obtained.
We consider a medium of multilevel atomic systems interacting with radiation pulses. A relatively simple technique of analytic calculations is proposed, which allows revealing all necessary conditions (with sufficient conditions to be checked separately) imposed on the interaction parameters, for which the mean dipole moment of a multilevel atomic medium vanishes, i.e., the medium becomes transparent via adiabatic interaction. The proposed technique is based on the method of quasienergies and illustrated for three- and five-level atomic systems. The necessary conditions for the propagation length where the interaction adiabaticity is preserved in the medium are obtained.
We consider a medium of multilevel atomic systems interacting with radiation pulses. A relatively simple technique of analytic calculations is proposed, which allows revealing all necessary conditions (with sufficient conditions to be checked separately) imposed on the interaction parameters, for which the mean dipole moment of a multilevel atomic medium vanishes, i.e., the medium becomes transparent via adiabatic interaction. The proposed technique is based on the method of quasienergies and illustrated for three- and five-level atomic systems.
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.
Features of the adiabatic population transfer are studied with the spatial evolution of interacting pulses propagating in an optically dense medium of three-level Λ-atoms taken into account. A self-consistent analytical solution describing the spatial-temporal dynamics of interacting short pulses under the conditions of adiabatic population transfer is constructed in the adiabatic approximation with consideration for the first nonadiabatic correction. Practically complete inversion on a forbidden transition determined by coherent (adiabatic) population transfer is shown to take place over a length of the medium, which may exceed the absorption length of a weak probing pulse in the absence of control radiation on the adjacent transition by several orders of magnitude.