PyCharge: An open-source Python package for self-consistent electrodynamics simulations of Lorentz oscillators and moving point charges

Filipovich, Matthew J.; Hughes, Stephen

doi:10.1016/j.cpc.2022.108291

Cited by 3 publications

(2 citation statements)

References 24 publications

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“…While in the Dicke model the emitters are assumed to be packed in a volume much smaller than the cubic wavelength, and all emission takes place in a single superradiant mode, we will also consider spatially more extended configurations, where collective emission is a multi-mode affair, both sub-and superradiant. Since it will enable us to obtain new insight, we will restrict our present study to the weak-excitation limit, also known as single-photon superradiance [52], where two-level emitters can be approximated as quantum harmonic oscillators [22,47,[52][53][54].…”

Section: Introductionmentioning

confidence: 99%

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

Jørgensen¹,

Wubs²

2022

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

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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 occur for finite emitter separations.

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Section: Introductionmentioning

confidence: 99%

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

Jørgensen¹,

Wubs²

2022

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

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“…Our approach is different from most superradiance studies, since we do not integrate out the field dynamics, as in Refs. [7,51,53] for example, but instead the emitter dynamics. This results in a Lippmann-Schwinger equation for the electricfield operator that can be solved analytically.…”

Section: Introductionmentioning

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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How light spreads

Jadhav

2024

Second International Conference on Current Trends in Physics and Photonics (ICCTPP 2024)

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We study generation and spreading of light at the most fundamental level within the classical theory. We model the light emitter as a sinusoidally oscillating point-charge. We use "PyCharge" for computing the electric and magnetic fields associated with such an emitter. Fields are plotted for two physically distinct processes, both regarded as occuring in a single frame F1: Process 1 has a fixed emitter, and Process 2 has a moving emitter. The wave-fronts of the emitted light are found to be circular in shape for both the processes; it's not elliptical for Process 2. We then construct a second frame, F2, that moves with the same velocity as the uniform motion of the emitter in Process 2. We calculate the fields of Process 2, but using the calculational procedure of P1 in frame F2. Thus, we use the Lorentz transformations and the procedure for a fixed emitter in order to calculate the fields due to a moving emitter. The fields thus computed show results that are numerically identical to those for Process 2 in F1, albeit at a non-negligible computational cost. Interspersed also are some novel observations and remarks concerning Maxwell's vs. Lorentz' aether, the Lorentz transformations, and the Special Theory of Relativity. All in all, this paper aims to provide that basic layer of results on the top of which our work towards extending the conceptual and mathematical schema used in the relativity principles, will be offered in future.

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PyCharge: An open-source Python package for self-consistent electrodynamics simulations of Lorentz oscillators and moving point charges

Cited by 3 publications

References 24 publications

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

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

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

How light spreads

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