Dark-state evolution and self-phase modulation in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Λ</mml:mi></mml:math>medium

Chaltykyan, V. O.; Grigoryan, G. G.; Nikogosyan, G.

doi:10.1103/physreva.68.013819

Cited by 13 publications

(7 citation statements)

References 28 publications

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“…At long distances of propagation also the interaction adiabaticity can break. Detailed investigation of interaction adiabaticity in the medium and of efficient population transfer was performed in works [24][25][26] where it was shown that at propagation in a medium the changes in shapes of pulses may be neglected at the distances satisfying the conditions…”

Section: Model and Conditions Of Population Transfer In The Mediummentioning

confidence: 99%

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Implementation of all-optical Toffoli gate in Λ-systems

et al. 2012

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AbstractAn optical Toffoli gate is the essential logical element, which permits the implementation of a reversible optical processor. We propose a simple realization of such a gate in films of crystals doped with rare-earth ions. The proposed scheme is based on adiabatic population transfer in a Λ-system by means of counterintuitive and intuitive sequences of short laser pulses. We also discuss possibilities for experimental realization of the proposed gate.

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Section: Model and Conditions Of Population Transfer In The Mediummentioning

confidence: 99%

“…Chaltykyan, D. Schraft, 2012, published in Izvestiya NAN Armenii, Fizika, 2012. [24][25][26]. As a solid medium Pr 3 :Y 2 SiO 5 crystal can be used which has already been successfully employed for construction of optical adder in the experiment [27].…”

Section: Introductionmentioning

confidence: 99%

Implementation of all-optical Toffoli gate in Λ-systems

et al. 2012

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“…In nonlinear media the situation is more complicated because of the dependence of the group velocity on the intensities of interacting fields. In the simplest, two-level, model more intense portions of the pulse are moving faster, resulting in steepening of the leading edge and formation of a shock wave (see, e.g., [7][8][9]). In addition to this mechanism, nonlinearity of the medium leads to parametric broadening of the spectrum (self-phase modulation [10]) which again shortens the pulse duration during its propagation and also furthers the violation of adiabaticity.…”

Section: Introductionmentioning

confidence: 99%

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

Grigoryan¹,

Gazazyan²,

Chaltykyan³

et al. 2014

Laser Phys.

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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.

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“…Variations of resonance detunings are caused by processes of self-phase modulation (parametric broadening of the pulse spectrum [41]). The modification of the shapes of pulses is caused both by the nonlinear group velocity (which can result in formation of shock wave fronts [42]) and by energy transfer between the pulses (which can lead to full depletion of one of 023802-4 the pulses [43]). It is, however, obvious that all these processes are proportional to the length of propagation.…”

Section: Medium Of Atomsmentioning

confidence: 99%

“…As follows from the results of cited works the adiabaticity of interaction in a two-level system breaks at the lengths when (qx/ 2 T ) ∼ 1, whereas the interaction adiabaticity in a three-level medium does not break at all. Another condition imposed on the length requires nondepletion of the pump pulse in a three-level medium for an effective population transfer [43]:…”

Section: Medium Of Atomsmentioning

confidence: 99%

Pulse propagation, population transfer, and light storage in five-level media

et al. 2015

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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.

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Dark-state evolution and self-phase modulation in aΛmedium

Cited by 13 publications

References 28 publications

Implementation of all-optical Toffoli gate in Λ-systems

Implementation of all-optical Toffoli gate in Λ-systems

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

Pulse propagation, population transfer, and light storage in five-level media

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