Cooperative resonance fluorescence and atomic interactions

Kilin, S Ja

doi:10.1088/0022-3700/13/13/023

Cited by 20 publications

(5 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For still smaller interatomic distances the dipole-dipole interaction can become comparable to the interaction of the atoms with the field ; the splitting of the doublets is very clearly visible and the amplitude of the peaks at ±4$ drastically increases . Our formula, obtained for this case by discarding the dispersion-like terms, reproduces the spectrum obtained by Freedhoff [26], who used the dressed state formalism, as well as that obtained by Kilin [27] . We should mention at this point that the way we have calculated the spectrum makes it impossible to recover the spectrum of Agarwal et al .…”

Section: Discussionsupporting

confidence: 81%

See 1 more Smart Citation

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

View full text Add to dashboard Cite

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 .

show abstract

Section: Discussionsupporting

confidence: 81%

“…This is shown in figure 2 for f3=20 and IbI = f3 . The spectrum (32) apart from the dispersion-like terms, agrees with the results obtained by Freedhoff [26] and by Kilin [27] .…”

Section: Resonance Fluorescence Spectrumsupporting

confidence: 88%

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

View full text Add to dashboard Cite

show abstract

“…The secular approximation technique has been suggested by Agarwal et al [119] and Kilin [120], which greatly simplifies the master equation ( 119). Hassan et al [121] and Cordes [122,123] have generalised the method to include non-zero detuning of the laser field and the quasistatic dipole-dipole potential.…”

Section: Photon Antibunchingmentioning

confidence: 99%

Entangled states and collective nonclassical effects in two-atom systems

2002

View full text Add to dashboard Cite

We propose a review of recent developments on entanglement and non-classical effects in collective two-atom systems and present a uniform physical picture of the many predicted phenomena. The collective effects have brought into sharp focus some of the most basic features of quantum theory, such as nonclassical states of light and entangled states of multiatom systems. The entangled states are linear superpositions of the internal states of the system which cannot be separated into product states of the individual atoms. This property is recognized as entirely quantum-mechanical effect and have played a crucial role in many discussions of the nature of quantum measurements and, in particular, in the developments of quantum communications. Much of the fundamental interest in entangled states is connected with its practical application ranging from quantum computation, information processing, cryptography, and interferometry to atomic spectroscopy.Comment: Review articl

show abstract

“…In order to study the dynamics of systems of interacting dipoles open quantum systems theory has proven useful [4]. The master equation formalism can be used to obtain dynamical information about state populations and coherences, and to obtain fluorescence spectra [5,6,7,8]. As will be confirmed in this work, the standard second-order Born-Markov-secular master equation describing two dipoles within a common radiation reservoir depends entirely on well-known quantum electrodynamic (QED) matrix elements.…”

Section: Introductionmentioning

confidence: 95%

A master equation for strongly interacting dipoles

Stokes

Nazir

2018

New J. Phys.

View full text Add to dashboard Cite

We consider a pair of dipoles such as Rydberg atoms for which direct electrostatic dipole-dipole interactions may be significantly larger than the coupling to transverse radiation. We derive a master equation using the Coulomb gauge, which naturally enables us to include the inter-dipole Coulomb energy within the system Hamiltonian rather than the interaction. In contrast, the standard master equation for a two-dipole system, which depends entirely on well-known gauge-invariant S-matrix elements, is usually derived using the multipolar gauge, wherein there is no explicit inter-dipole Coulomb interaction. We show using a generalised arbitrary-gauge light-matter Hamiltonian that this master equation is obtained in other gauges only if the inter-dipole Coulomb interaction is kept within the interaction Hamiltonian rather than the unperturbed part as in our derivation. Thus, our master equation depends on different S-matrix elements, which give separation-dependent corrections to the standard matrix elements describing resonant energy transfer and collective decay. The two master equations coincide in the large separation limit where static couplings are negligible. We provide an application of our master equation by finding separation-dependent corrections to the natural emission spectrum of the two-dipole system.

show abstract

Cooperative resonance fluorescence and atomic interactions

Cited by 20 publications

References 9 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

Entangled states and collective nonclassical effects in two-atom systems

A master equation for strongly interacting dipoles

Contact Info

Product

Resources

About