Superradiance from a cylindrically shaped cloud of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:math>two-level atoms

Manassah, Jamal T.

doi:10.1103/physreva.82.053816

Cited by 6 publications

(10 citation statements)

References 13 publications

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“…An interesting situation arises in the nearly inverted case when the two strongest modes have nearly the same Re (λ); then, the beats between them [16], observable on the fast time scale O (1/C), continue for a time much longer than λ D . A similar phenomenon occurs in the weakly excited case, when the two weakest dominant modes nearly are degenerate in Re (λ).…”

Section: Discussionmentioning

confidence: 99%

Non-Dicke decay in a small spherical sample with radially varying density

Friedberg¹,

Manassah²

2012

Phys. Rev. A

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It is a familiar fact that, in an isolated sphere or ellipsoid of uniform polarization density, the electrostatic field also is uniform. Because of this, the state of uniform polarization in a spherical sample of uniformly distributed two-level atoms is an eigenmode of the coherent decay process in the limit of a small radius compared to the resonant wavelength of a single atom. Consequently, in this special geometry, the Dicke picture of uniform exponential decay should hold. In nonspheroidal geometries or in spherical geometries with nonuniform atomic density, the decay should be more complicated. Here, we find the characteristic equations that determine the eigenmodes of the Lienard-Wiechert interaction for a partly hollowed sphere of identical two-level atoms in two different radial configurations. We show that the Dicke picture for emission from a coherently prepared sample does not correctly describe the system's dynamics even when we take the radius of the sphere to be much smaller than the radiation wavelength.

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Section: Discussionmentioning

confidence: 99%

Non-Dicke decay in a small spherical sample with radially varying density

Friedberg¹,

Manassah²

2012

Phys. Rev. A

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“…(4.3) and (4.5) that in the vector model cross polarization (P z from initialP x , orP x from initial P z ) does not occur in leading order in elapsed time t. At later times we expect this to remain true because of reflection symmetry in the y-z plane, even though individual eigenmodes no longer separate into TM and TE when k 2 > 0. Likewise, if the initial phase factor is not exp(ikz)but exp(ikx) as in [5,24,28], cross polarization should remain zero at all times by reflection symmetry in the x-z plane. But cross polarization may be expected at later times when the initial phase has both an x and a z dependence.…”

Section: Discussionmentioning

confidence: 99%

“…[We note that in [5,24,28] the phase factor is transverse, exp(ikx), rather than exp(ikz). Hence the only overlap between those and the present paper is in the case of k = 0.…”

Section: Initial Cooperative Decay Rate and Initial Cooperative Lmentioning

confidence: 99%

“…These quantities have been discussed for various geometries in the literature, primarily for the "slab" [2,3,9,10,27] and the sphere [2,7,8,[11][12][13][14][15][16][18][19][20]23,25,26,30]. More recently, similar discussions have appeared [5,24,28,29] for a cylindrical geometry. The cylindrical geometry is the natural one for certain types of experiment [22].…”

Section: Introductionmentioning

confidence: 99%

“…We also note that much previous work, both on initial values and on time development, has been restricted to the "scalar photon model" [5][6][7][8][12][13][14][15][18][19][20][21]24,29,30] in which…”

Section: Introductionmentioning

confidence: 99%

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Initial cooperative decay rate and cooperative Lamb shift of resonant atoms in an infinite cylindrical geometry

Friedberg

Manassah

2011

Phys. Rev. A

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We obtain in both the scalar and vector photon models the analytical expressions for the initial cooperative decay rate and the cooperative Lamb shift for an ensemble of resonant atoms distributed uniformly in an infinite cylindrical geometry for the case that the initial state of the system is prepared in a phased state modulated in the direction of the cylindrical axis. We find that qualitatively the scalar and vector theories give different results.

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Quantum Electrodynamics of Two-Level Atoms in 1D Configurations

Manassah¹

2014

Advances in Atomic, Molecular, and Optical Physics

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Superradiance from a cylindrically shaped cloud ofNtwo-level atoms

Cited by 6 publications

References 13 publications

Non-Dicke decay in a small spherical sample with radially varying density

Non-Dicke decay in a small spherical sample with radially varying density

Initial cooperative decay rate and cooperative Lamb shift of resonant atoms in an infinite cylindrical geometry

Quantum Electrodynamics of Two-Level Atoms in 1D Configurations

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