Intensity correlations in resonance fluorescence from two atoms

Wiegand, M.

doi:10.1016/0030-4018(81)90380-1

Cited by 8 publications

(12 citation statements)

References 7 publications

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“…The results (19) and (20) agree with those obtained previously [5,18,35] for b=0 . Equation (19) gives the value 1 in the strong field limit, whereas equation (20) gives a value of 0.…”

Section: Steady-state Solutionssupporting

confidence: 92%

“…Equation (19) gives the value 1 in the strong field limit, whereas equation (20) gives a value of 0. 75 .…”

Section: Steady-state Solutionsmentioning

confidence: 98%

“…The dipole-dipole interaction b does not considerably affect the initial value of the intensity correlation function g (2)(0) for the strong field . Equations (19) and (20) …”

Section: Steady-state Solutionsmentioning

confidence: 99%

“…Strict solutions of the problem, however, can be obtained only for systems of a few (two or three) atoms [13][14][15][16][17][18][19] . To solve the problem for the many-atom case some approximations are needed, for example suitable decoupling procedures [7][8][9][10][11] .…”

Section: Introductionmentioning

confidence: 99%

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Effect of Interatomic Interactions on Resonance Fluorescence of Two Atoms Coherently Driven by a Strong Resonant Laser Field

1983

Optica Acta: International Journal of Optics

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Resonance fluorescence of two-level atoms pumped by a strong resonant laser field is examined, taking account of cooperative damping y 12 and level shifts 012 due to radiative and dipole-dipole interaction . Applying the Lehmberg master equation for two atoms, we derive a closed set of 15 equations of motion for the time evolution of the atomic variables . The set is solved using the Laplace transform and quantum regression theory for the steady-state spectrum and intensity correlation . The steady-state solutions for y 12 0 y (where 2y is Einstein's coefficient A) are shown to differ by a `scaling factor' from those for Y12=y . In the strong field limit 52>>y (where 0 is the Rabi frequency), for the three regions (1) 52>>y»52 12 , ( 2) f2>> 12>>y and (3) 52z52 12 »y we derive analytical formulae for the spectra of symmetric and antisymmetric modes . The intensity correlation function is calculated for regions (1)-(3) . . IntroductionCooperative effects in resonance fluorescence arising from the interaction of many two-level atoms with an external laser field have been studied extensively during the past few years [1][2][3][4][5][6][7][8][9][10][11][12] . Strict solutions of the problem, however, can be obtained only for systems of a few (two or three) atoms [13][14][15][16][17][18][19] . To solve the problem for the many-atom case some approximations are needed, for example suitable decoupling procedures [7][8][9][10][11] . This is precisely why two-atom resonance fluorescence has become a subject of extensive research in recent years . The resonance fluorescence spectrum and intensity correlations have been considered for the smallsample case (the S 2 -conserving system) as well as for an extended system (the S 2 conservation breaking case) in either the master equation [5][6][7][8][9][10]15] or Green's function [13][14] approach . It has been shown that the two-atom resonance fluorescence spectrum should exhibit additional side-bands at ao-co o = ± 252, where 92 is the Rabi frequency . As has been shown [10,15], these additional peaks should be distinguishable from the background only at extremely large 52, while at moderately large S2 a cooperative system of two atoms has the three-peak structure of resonance fluorescence spectra well known from the one-atom theory [20-23] (see also [24]) . In those calculations, the first-order dispersion forces (or dipole-dipole interactions) between the atoms [25] were usually neglected . Freedhoff [26] and Kilin [27], using a dressed atom approach, have included dipole-dipole interaction and obtained analytical formulae for the resonance fluorescence spectrum . They have shown that the spectrum consists of seven lines, with the side-lines symmetrically located with respect to the central line . Their formulae, however, are valid only when the dipoledipole interaction between the atoms is comparable to the interaction of one atom t This research was supported by Research Project MR 1 .5 .

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“…The results (19) and (20) agree with those obtained previously [5,18,35] for b=0 . Equation (19) gives the value 1 in the strong field limit, whereas equation (20) gives a value of 0.…”

Section: Steady-state Solutionssupporting

confidence: 92%

“…Equation (19) gives the value 1 in the strong field limit, whereas equation (20) gives a value of 0. 75 .…”

Section: Steady-state Solutionsmentioning

confidence: 98%

“…The dipole-dipole interaction b does not considerably affect the initial value of the intensity correlation function g (2)(0) for the strong field . Equations (19) and (20) …”

Section: Steady-state Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effect of Interatomic Interactions on Resonance Fluorescence of Two Atoms Coherently Driven by a Strong Resonant Laser Field

1983

Optica Acta: International Journal of Optics

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“…The green dashed lines indicate reference values from Refs. [57][58][59][60][61], referring to a two-atom system (see text for discussion).…”

Section: Intensity Correlationsmentioning

confidence: 99%

Probing few-excitation eigenstates of interacting atoms on a lattice by observing their collective light emission in the far field

Longo

Evers²

2014

Phys. Rev. A

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The collective emission from a one-dimensional chain of interacting two-level atoms coupled to a common electromagnetic reservoir is investigated. We derive the system's dissipative few-excitation eigenstates, and analyze its static properties, including the collective dipole moments and branching ratios between different eigenstates. Next, we study the dynamics, and characterize the light emitted or scattered by such a system via different far-field observables. Throughout the analysis, we consider spontaneous emission from an excited state as well as two different pump field setups, and contrast the two extreme cases of non-interacting and strongly interacting atoms. For the latter case, the two-excitation submanifold contains a two-body bound state, and we find that the two cases lead to different far-field signatures. Finally we exploit these signatures to characterize the wavefunctions of the collective eigenstates. For this, we identify a direct relation between the collective branching ratio and the momentum distribution of the collective eigenstates' wavefunction. This provides a method to proof the existence of certain collective eigenstates and to access their wave function without the need to individually address and/or manipulate single atoms.

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Cooperative Resonance Fluorescence from Two Atoms Experiencing Different Driving Fields

Richter¹

1983

Optica Acta: International Journal of Optics

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Intensity correlations in resonance fluorescence from two atoms

Cited by 8 publications

References 7 publications

Effect of Interatomic Interactions on Resonance Fluorescence of Two Atoms Coherently Driven by a Strong Resonant Laser Field

Effect of Interatomic Interactions on Resonance Fluorescence of Two Atoms Coherently Driven by a Strong Resonant Laser Field

Probing few-excitation eigenstates of interacting atoms on a lattice by observing their collective light emission in the far field

Cooperative Resonance Fluorescence from Two Atoms Experiencing Different Driving Fields

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