Multifrequency photon echo generated by extremely short pulses

Parkhomenko, A. Yu.; Сазонов, С. В.

doi:10.1134/1.567770

Cited by 19 publications

(5 citation statements)

References 5 publications

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“…The data (G, G + , G − ) is called a Manin triple. This interpretation of the constraints associated with N = 2 supersymmetry was given and used by Parkhomenko [17] and further by Getzler [18].…”

Section: The Nijenhuis Tensor and The Modified Yang-baxter Equationmentioning

confidence: 91%

“…These conditions were found in [9] for target spaces without torsion, then in [10,11,12,13] for target spaces with torsion and specialized in [14,15,16] for the case of parallelized group manifolds. In this last case, these conditions were recently reformulated in terms of Manin triples [17,18,19]. In particular the existence of a N = 2 WZNW model on G requires the existence of two Manin triples induced by two r-matrices.…”

Section: Introductionmentioning

confidence: 99%

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N = 2 Chiral WZNW Model in Superspace

Delduc

Magro

1996

Int. J. Mod. Phys. A

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We study the Poisson bracket algebra of the N = 2 supersymmetric chiral WZNW model in superspace. It involves two classical r-matrices, one of which comes from the geometrical constraints implied by N = 2 supersymmetry. The phase space itself consists of superfields satisfying constraints involving this r-matrix. An attempt is made to relax these constraints. The symmetries of the model are investigated.

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Section: The Nijenhuis Tensor and The Modified Yang-baxter Equationmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

N = 2 Chiral WZNW Model in Superspace

Delduc

Magro

1996

Int. J. Mod. Phys. A

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“…This leads to the fact that the anti-phase coherences for both transitions reach maxima at the same time. In the absence of equidistance, the corresponding times would be separated by a temporal interval, which is depending from the frequency difference between the considered transitions [6].…”

Section: Echo Modementioning

confidence: 99%

“…The effects of spin and photon echoes arise due to the coherence of the quantum states of the medium (atomic coherence) induced by exciting pulses [1][2][3]. In this case, the exciting pulses can be both quasi-monochromatic [4,5] and broadband [6,7]. The spectrum of broadband signals can be noisy [8,9].…”

Section: Introductionmentioning

confidence: 99%

Relaxation echo

Сазонов¹

2023

Laser Phys. Lett.

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The possibility of generation of a microwave echo-signal due to irreversible phase relaxation in a system of equidistant triplets with a cascade scheme of magnetic-dipole transitions is predicted. The disappearance of relaxation entails the disappearance of this echo-signal. The mechanism of this effect lies in the destructive interference of quantum transitions, which radiate in anti-phase with the same eigen-frequencies. The difference in phase relaxation times for these transitions leads to incomplete damping of the resulting coherence. As a result an echo-signal is generated.

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“…We know that the extended superconformal (especially N=2) current algebras are equivalent to the Manin triples [23]. The algebraic structure of the N = (2,2) supersymmetric WZW model is equivalent to the Manin triple (or Lie bialgebra) structure [24].…”

Section: Preservation Of the N = (22) Structure Under Super Poisson-l...mentioning

confidence: 99%

WZW models as mutual super Poisson-Lie T-dual sigma models

Eghbali,

Rezaei-Aghdam

2013

Preprint

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A WZW model on the Lie supergroup (C 3 +A) is constructed. It is shown that this model contains super Poisson-Lie symmetry with the dual Lie supergroup C 3 ⊕ A 1,1 | .i. Furthermore, we show that the dual model is also equivalent to the WZW model on isomorphic Lie supergroup (C 3 +A).i. In this manner, because of isomorphism of the (C 3 +A) with a Manin supertriple, it is shown that the N=(2,2) structure is preserved under the super Poisson-Lie T-duality transformation.

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Multifrequency photon echo generated by extremely short pulses

Cited by 19 publications

References 5 publications

N = 2 Chiral WZNW Model in Superspace

N = 2 Chiral WZNW Model in Superspace

Relaxation echo

WZW models as mutual super Poisson-Lie T-dual sigma models

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