Superradiance and anomalous hyperfine splitting in inhomogeneous ensembles

Andrejić, Petar; Pálffy, Adriana

doi:10.1103/physreva.104.033702

Cited by 15 publications

(10 citation statements)

References 82 publications

(118 reference statements)

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“…The observed photons scattered by the thin-film planar cavity can be generally attributed to the tailored electromagnetic field by the multilayer stacks of dielectric media. To solve such type problem, a set of electromagnetic Green's functions known as the macroscopic quantum electrodynamics [91] have been developed for a variety of applications, for example, light-emitting tunnel junction [92,93], Raman scattering [76], subradiance and selective radiance of the atmoic arrays [94] and the thin-film cavity with nuclear resonance [70,74,75]. In this section, the modification of the electromagnetic field with electronic resonance in the thin-film planar cavity will be analyzed from the perspective of quantum Green's function following the framework of Refs.…”

Section: Quantum Green's Functionmentioning

confidence: 99%

“…For the weak polarization dependence at a small incidence angle where the cavity modes are driven, the Green's function G(z i , z j , ω, k xy ) can be further derived from the matrix formalism as mentioned in Sec. III [75] G(z i , z j , ω,…”

Section: B Green's Function For Thin-film Planar Cavitymentioning

confidence: 99%

“…As discussed at the above two sections, a general spectrum observed in experiment is the energy and angle dependent reflectance. In the linear regime, this observation is readily to be got through the input-output formalism, wherein the reflection is calculated by the output field at the surface of cavity and the input field [75 is the output operator, and a in is the input field. According to Eq.…”

Section: Input-output Formalismmentioning

confidence: 99%

“…However, there are some limitations of the semiclassical matrix method, for example the formalism will be very complex for the cavity with embedding multiple atomic or nuclear layers [21,66] or double-cavity structure [25], and it is also hard to derive the effective energylevels which is crucial for correlating the experimental spectral observations with physical parameters. Therefore, with the development of the x-ray cavity-QED with the nuclear resonance in last decade, several quantum optical models have been well developed for interpreting and predicting the experimental phenomena, including the phenomenological quantum optical model [67,68] based on the Jaynes-Cummings approach [69], the ab initio few-mode quantum model [70][71][72][73] and the ab initio Green's functions model [70,74,75].…”

Section: Introductionmentioning

confidence: 99%

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Classical, semi-classical and quantum optical models for x-ray planar cavity with electronic resonance

Huang¹,

Li²,

Lima³

et al. 2022

Preprint

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Here two theoretical models of semi-classical matrix and quantum Green's function are developed for the system of x-ray thin-film planar cavity with inner-shell electronic resonances. The semi-classical model is based on the matrix formalism to treat each layer as the propagating matrix. The crucial idea is to expand the propagating matrix of the resonant atomic layer under ultrathin-film approximation, then derive the analytical expression of the spectral observation, i.e, the cavity reflectance. The typical cavity effects of cavity enhanced decay rate, cavity induced energy shift and the Fano interference which were observed in the recent experiments could be phenomenologically interpreted. The second quantum model employs the analytical Green's function to solve the cavity system. The system Hamiltonian and the effective energy-level are derived. The effective energy-level scheme indicates that the cavity effect acts on the regulation of the intermediated core-hole state.To test the validity of the semi-classical matrix and quantum Green's function models, the classical Parratt's formalism and the dispersion correction of the atomic refractive index are also recalled. Very good agreements in reflectivity spectra between semi-classical and quantum models with the Parratt's results are observed. The present semi-classical matrix and quantum Green's function models will be useful to predict the new phenomena and optimize the cavity structures for future experiments and promote the emerging of quantum optical effects with modern x-ray spectroscopy techniques.

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Section: Quantum Green's Functionmentioning

confidence: 99%

Section: B Green's Function For Thin-film Planar Cavitymentioning

confidence: 99%

Section: Input-output Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Classical, semi-classical and quantum optical models for x-ray planar cavity with electronic resonance

Huang¹,

Li²,

Lima³

et al. 2022

Preprint

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“…Superradiance in inhomogeneous en- sembles, including detuning, has recently been studied in Refs. [78,79]. Here we focus on the effect of the RWA for two slightly detuned atoms in free space.…”

Section: Collective Emission By Two Detuned Atomsmentioning

confidence: 99%

Quantifying the breakdown of the rotating-wave approximation in single-photon superradiance

Jørgensen,

Wubs

2021

Preprint

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We study quantitatively the breakdown of the rotating-wave approximation when calculating collective light emission by quantum emitters, in particular in the weak-excitation limit. Our starting point is a known multiple-scattering formalism where the full light-matter interaction leads to induced inter-emitter interactions described by the classical Green function of inhomogeneous dielectric media. When making the RWA in the light-matter interaction, however, these induced interactions differ from the classical Green function, and for free space we find a reduction of the interatomic interaction strength by up to a factor of two. By contrast, for the corresponding scalar model the relative RWA error for the inter-emitter interaction even diverges in the near field. For two identical emitters, the errors due to the RWA in collective light emission will show up in the emission spectrum, but not in the sub-and superradiant decay rates. In case of two non-identical emitters, also the collective emission rates will differ by making the RWA. For three or more identical emitters, the RWA errors in the interatomic interaction in general affect both the collective emission spectra and the collective decay rates. Ring configurations with discrete rotational symmetry are an interesting exception. Interestingly, the maximal errors in the collective decay rates due to making the RWA do not occur in the extreme near-field limit.

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Quantifying the breakdown of the rotating-wave approximation in single-photon superradiance

Jørgensen¹,

Wubs²

2022

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

We study quantitatively the breakdown of the rotating-wave approximation when calculating collective light emission by quantum emitters, in particular in the weak-excitation limit. Our starting point is a known multiple-scattering formalism where the full light-matter interaction leads to induced inter-emitter interactions described by the classical Green function of inhomogeneous dielectric media. When making the RWA in the light-matter interaction, however, these induced interactions differ from the classical Green function, and for free space we find a reduction of the interatomic interaction strength by up to a factor of two. By contrast, for the corresponding scalar model the relative RWA error for the inter-emitter interaction even diverges in the near field. For two identical emitters, the errors due to the RWA in collective light emission will show up in the emission spectrum, but not in the sub- and superradiant decay rates. In case of two non-identical emitters, also the collective emission rates will differ by making the RWA. For three or more identical emitters, the RWA errors in the interatomic interaction in general affect both the collective emission spectra and the collective decay rates. Ring configurations with discrete rotational symmetry are an interesting exception. Interestingly, the maximal errors in the collective decay rates due to making the RWA occur for finite emitter separations.

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Superradiance and anomalous hyperfine splitting in inhomogeneous ensembles

Cited by 15 publications

References 82 publications

Classical, semi-classical and quantum optical models for x-ray planar cavity with electronic resonance

Classical, semi-classical and quantum optical models for x-ray planar cavity with electronic resonance

Quantifying the breakdown of the rotating-wave approximation in single-photon superradiance

Quantifying the breakdown of the rotating-wave approximation in single-photon superradiance

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