Collective effects in an atomic layer near a phase conjugated mirror

Cerdeira, Hilda A.

doi:10.1016/0030-4018(92)90516-t

Cited by 1 publication

(6 citation statements)

References 22 publications

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“…The equations studied in this work are a limit when the coupling of the two-level atoms and reservoir is neglected [4]. For a pure radiative process, defining the transversal decay rate by p, one may find that the cooperative decay rate is g = pn, where n is the surface atomic density.…”

Section: General Theorymentioning

confidence: 99%

“…In Ref. [4] the case of exact resonance between the frequencies of the external field, the transition frequency of the two-level atoms and phase-conjugated mirror pump fields, has been studied.…”

Section: General Theorymentioning

confidence: 99%

“…Following Ref. [4] we find the total electric field at the atomic layer position (z = 0). This self-consistent field is inserted in the Bloch equations, which after a change of t~gt gis.…”

Section: General Theorymentioning

confidence: 99%

“…This self-consistent field is inserted in the Bloch equations, which after a change of t~gt gis. the cooperative decay rate and y is the atom-field coupling constant [4]. Here we assumed that the transition frequency between the upper and lower energy levels of the two-level atoms coincides with the carrier frequency of the external laser field w. We consider the case when p = 0, go = 0 and b is renormalized to b = (wi,a)/2g = (wi + wz -2w)/2g.…”

Section: General Theorymentioning

confidence: 99%

“…[6] collective decay or excitation of a point sample of two-level atoms was analyzed. A further reformulation and extension of this problem was given in article [4], where the case of exact resonance (one mode approximation) was studied. Here we analyze the case when the phase-conjugated mirror reflects a field with a carrier frequency diEerent from the incident one.…”

Section: Introductionmentioning

confidence: 99%

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Crises-induced intermittencies in a coherently driven system of two-level atoms

1993

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We study the coherent dynamics of a thin layer of two-level atoms driven by an external coherent field and a phase-conjugated mirror (PCM). Since the variables of the system are defined on the Bloch sphere, the third dimension is provided by the temporal modulation of the Rabi frequencies, which are induced by a PCM which reflects an electric field with a carrier frequency different from the incident one. We show that as the PCM gain coefficient is changed, period doubling leading to chaos occurs. We find crises of attractor-merging and attractor-widening types related to homoclinic and heteroclinic tangencies, respectively. For the attractor-merging crisis we find the critical exponent for the characteristic time of intermittency versus the control parameter which is given by the gain coefficient of the PCM. We show that during the crisis of attractor-widening type, another crisis due to attractor destruction occurs as the control parameter is changed. The latter is due to the collision of the old attractor with its basin boundary when a new attractor is created. This new attractor is stable only in a very small interval in the neighborhood of this second crisis.

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Section: General Theorymentioning

confidence: 99%

Section: General Theorymentioning

confidence: 99%

“…Following Ref. [4] we find the total electric field at the atomic layer position (z = 0). This self-consistent field is inserted in the Bloch equations, which after a change of t~gt gis.…”

Section: General Theorymentioning

confidence: 99%

Section: General Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations