Study of the Superradiance Phenomenon in the $α$ --attractor Potential using the Log Derivative MethodStudy of the Superradiance Phenomenon in the $α$--attractor Potential using the Log Derivative Method

Ángel Salazar, Quray Potosí, David Laroze +3 more

In this article, we solved the time--independent one--dimensional Klein--Gordon equation in the presence of $α$ --attractor potential using the Log derivative method. We calculated the reflection coefficient $\mathcal{R}$ and the transmission coefficient $\mathcal{T}$ , showing that the superradiance phenomenon is present. In order to demonstrate the accuracy of our method, we performed a comparison with the analytical solution for the hyperbolic tangent potential.In this article, we solved the time--independent one--dimensional Klein--Gordon equation in the presence of $α$--attractor potential using the Log derivative method. We calculated the reflection coefficient $\mathcal{R}$ and the transmission coefficient $\mathcal{T}$, showing that the superradiance phenomenon is present. In order to demonstrate the accuracy of our method, we performed a comparison with the analytical solution for the hyperbolic tangent potential.

quant-pharXiv:2605.10497May 12, 2026

Superradiance and flux conservation

Petarpa Boonserm, Tritos Ngampitipan, Matt Visser

The theoretical foundations of the phenomenon known as superradiance still continue to attract considerable attention. Despite many valiant attempts at pedagogically clear presentations, the effect nevertheless still continues to generate some significant confusion. Part of the confusion arises from the fact that superradiance in a quantum field theory context is not the same as superradiance (superfluorescence) in some condensed matter contexts; part of the confusion arises from traditional but sometimes awkward normalization conventions, and part is due to sometimes unnecessary confusion between fluxes and probabilities. We shall argue that the key point underlying the effect is flux conservation (and, in the presence of dissipation, a controlled amount of flux nonconservation), and that attempting to phrase things in terms of reflection and transmission probabilities only works in the absence of superradiance. To help clarify the situation we present a simple exactly solvable toy model exhibiting both superradiance and damping.The theoretical foundations of the phenomenon known as superradiance still continue to attract considerable attention. Despite many valiant attempts at pedagogically clear presentations, the effect nevertheless still continues to generate some significant confusion. Part of the confusion arises from the fact that superradiance in a quantum field theory context is not the same as superradiance (superfluorescence) in some condensed matter contexts; part of the confusion arises from traditional but sometimes awkward normalization conventions, and part is due to sometimes unnecessary confusion between fluxes and probabilities. We shall argue that the key point underlying the effect is flux conservation (and, in the presence of dissipation, a controlled amount of flux nonconservation), and that attempting to phrase things in terms of reflection and transmission probabilities only works in the absence of superradiance. To help clarify the situation we present a simple exactly solvable toy model exhibiting both superradiance and damping.

arXiv:1407.5678Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsSep 9, 20146 citations

Superradiance and energy transfer within a system of atoms

James P. Stone, Abraham Nitzan, John Ross

Physica A Statistical Mechanics and its ApplicationsJan 1, 19762 citations

Long-lived quantum coherence between macroscopically distinct states in superradiance

Daniel Braun, Petr A. Braun, Fritz Haake

arXiv:quant-ph/9903040Optics CommunicationsMay 1, 200026 citations

Coherent responses of quantum-dot layer to short optical pulse excitation

S. O. Elyutin, Andrei I. Maimistov

It is shown numerically that a thin layer of semiconductor quantum dots has a threshold transmission characteristic for the ultrashort incident pulse. Weak pulses mainly reflect from layer while pulses with amplitudes above the threshold mainly transmit. The coherent interaction of optical pulses with the layer of quantum dots causes the forming of peaks of superradiation on the profile of transmitted pulses. The phenomenon is accompanied by rapid temporal evolution of ellipticity and azimuth angle across the pulse duration.It is shown numerically that a thin layer of semiconductor quantum dots has a threshold transmission characteristic for the ultrashort incident pulse. Weak pulses mainly reflect from layer while pulses with amplitudes above the threshold mainly transmit. The coherent interaction of optical pulses with the layer of quantum dots causes the forming of peaks of superradiation on the profile of transmitted pulses. The phenomenon is accompanied by rapid temporal evolution of ellipticity and azimuth angle across the pulse duration.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIENov 15, 20015 citations

Study of the Superradiance Phenomenon in the

α

--attractor Potential using the Log Derivative Method

In this article, we solved the time--independent one--dimensional Klein--Gordon equation in the presence of

α

--attractor potential using the Log derivative method. We calculated the reflection coefficient

\mathcal{R}

and the transmission coefficient

\mathcal{T}

, showing that the superradiance phenomenon is present. In order to demonstrate the accuracy of our method, we performed a comparison with the analytical solution for the hyperbolic tangent potential.