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We suggest a better mathematical method, fractional calculus, for studying the behavior of the atom-field interaction in photonic crystals. By studying the spontaneous emission of an atom in a photonic crystal with one-band isotropic model,…

Materials Science · Physics 2015-05-13 Szu-Cheng Cheng , Jing-Nuo Wu , Ming-Rung Tsai , Wen-Feng Hsieh

We consider the time-delayed coincidence counting of two photons emitted in a cascade by a single particle (atom, molecule, nucleus, etc). The time-dependence of the probability amplitude of the second photon in the cascade has a sharply…

Quantum Physics · Physics 2009-11-13 R. N. Shakhmuratov , J. Odeurs , Paul Mandel

We consider the spontaneous emission of a two-level quantum emitter, such as an atom or a quantum dot, in a modulated time-dependent environment with a photonic band gap. An example of such an environment is a dynamical photonic crystal or…

Quantum Physics · Physics 2017-08-08 Giuseppe Calajò , Lucia Rizzuto , Roberto Passante

In this work the behavior of optical micro-ring resonators, especially when functioning as refractive index sensors, is studied in detail. Two configurations are considered, namely a linear waveguide coupled to a circular one and two linear…

Optics · Physics 2022-04-19 Georgios N. Tsigaridas

Measurements of the beta decay rates of nuclei have revealed annual periodicities with approximately the same relative amplitude even though the half-lives range over nine orders of magnitude. Here we show that this can be explained if the…

High Energy Physics - Phenomenology · Physics 2016-09-12 M. J. Mueterthies , D. E. Krause , A. Longman , V. E. Barnes , E. Fischbach

Novel optical phenomena, including electromagnetically induced transparency, slow light, superluminal light propagation, have recently been demonstrated in diverse physical implementations. These phenomena are challenging to realize in…

Optics · Physics 2007-12-03 Vikas Anant , Ayman F. Abouraddy , Karl K. Berggren

Pseudoscalar particles, with almost zero mass and very weak coupling to the visible matter, arise in many extensions of the standard model of particle physics. Their mixing with photons in the presence of an external magnetic field leads to…

High Energy Physics - Phenomenology · Physics 2009-08-03 Avijit K. Ganguly , Pankaj Jain , Subhayan Mandal

We derive simple formulae for the transmittance $T$ and reflectance $R$ of Gaussian-Schell beams incident upon any stratified dielectric structure by using second-order classical coherence theory in the space-frequency picture. The…

Optics · Physics 2021-02-24 Paulo A. Brandão , João P. Mendonça , S. B. Cavalcanti

Evolution of resonant frequencies and resonant modes as dependent on the aspect ratio is considered in a dielectric high index spheroid. Because of rotational symmetry of the spheroid the solutions are separated by the azimuthal index $m$.…

Optics · Physics 2021-11-17 Evgeny Bulgakov , Konstantin Pichugin , Almas Sadreev

We derive for the first time fundamental equations that describe soliton spatial profiles consisting of two-photon mode fields and macroscopic polarization of medium. Numerical solutions of this basic equation are presented to give single…

Quantum Physics · Physics 2014-07-02 M. Yoshimura , N. Sasao

Recent measurements of a 2D electron gas subjected to microwave radiation reveal a magnetoresistance with an oscillatory dependence on the ratio of radiation frequency to cyclotron frequency. We perform a diagrammatic calculation and find…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Adam C. Durst , Subir Sachdev , N. Read , S. M. Girvin

The effect of turbulence on a pair of photons propagating together through the same medium is analyzed. The behavior is compared to the case where these photons propagate separately through different turbulent media. The analysis is done…

Quantum Physics · Physics 2017-02-15 Filippus S. Roux

A dark photon may kinetically mix with the ordinary photon, inducing oscillations with observable imprints on cosmology. Oscillations are resonantly enhanced if the dark photon mass equals the ordinary photon plasma mass, which tracks the…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-11 Andrea Caputo , Hongwan Liu , Siddharth Mishra-Sharma , Joshua T. Ruderman

We investigate the dynamics of single- and multi-photon emission from detuned strongly coupled systems based on the quantum-dot-photonic-crystal resonator platform. Transmitting light through such systems can generate a range of…

When an electromagnetic (EM) wave is propagating in a medium whose properties are varied abruptly in time, the wave experiences refractions and reflections known as "time-refractions" and "time-reflections", both manifesting spectral…

Applied Physics · Physics 2023-10-05 Thomas R. Jones , Alexander V. Kildishev , Mordechai Segev , Dimitrios Peroulis

We consider the theory of spontaneous emission for a random medium of stationary two-level atoms. We investigate the dynamics of the field and atomic probability amplitudes for a one-photon state of the system. At long times and large…

Optics · Physics 2021-04-27 Joseph Kraisler , John C Schotland

By a generalization of the Hopfield model, we construct a microscopic Lagrangian describing a dielectric medium with dispersion and dissipation. This facilitates a well-defined and unambiguous $\textit{ab initio}$ treatment of quantum…

Quantum Physics · Physics 2021-01-04 Sascha Lang , Ralf Schützhold , William G. Unruh

The characteristics of a single-photon emitter based on a semiconductor quantum dot, such as their indistinguishability and brightness, depend on the stability of the recombination channel, which can switch spontaneously between exciton and…

A theory is presented for the frequency dependence of the power spectrum of photon current fluctuations originating from a disordered medium. Both the cases of an absorbing medium (``grey body'') and of an amplifying medium (``random…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko , M. Patra , C. W. J. Beenakker

Interference between an unknown two-photon state (a "biphoton") and the two-photon component of a reference state gives a phase-sensitive arrival-time distribution containing full information about the biphoton temporal wave function. Using…