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It is known that the M\"obius function in number theory is higher order oscillating. In this paper we show that there is another kind of higher order oscillating sequences in the form $(e^{2\pi i \alpha \beta^{n}g(\beta)})_{n\in \N}$, for a…

Dynamical Systems · Mathematics 2020-06-02 Shigeki Akiyama , Yunping Jiang

We derive a non-linear sigma-model for the transport of light (classical waves) through a disordered medium. We compare this extension of the model with the well-established non-linear sigma-model for the transport of electrons…

Disordered Systems and Neural Networks · Physics 2009-10-31 B. Elattari , V. Kagalovsky , H. A. Weidenmueller

We study theoretically the squeezing spectrum and second-order correlation function of the output light for an optomechanical system in which a mechanical oscillator modulates the cavity linewidth (dissipative coupling). We find strong…

Mesoscale and Nanoscale Physics · Physics 2015-12-14 Dainius Kilda , Andreas Nunnenkamp

The fluctuations are termed mesoscopic, when their typical size is essentially larger then the average distance between the nearest neighbors, while being much smaller than the overall system size. Since the features of mesoscopic…

Statistical Mechanics · Physics 2026-01-23 V. I. Yukalov , E. P. Yukalova

This paper concerns the scattering problem for a nonlinear medium of compact support, $D$, with second-harmonic generation. Such a medium, when probed with monochromatic light beams at frequency $\omega$, generates additional waves at…

Analysis of PDEs · Mathematics 2024-01-03 Fioralba Cakoni , Narek Hovsepyan , Matti Lassas , Michael S. Vogelius

Whenever several quantum light emitters are brought in proximity with one another, their interaction with common electromagnetic fields couples them, giving rise to cooperative shifts in their resonance frequency. Such collective line…

Quantum Physics · Physics 2017-05-09 Ziv Meir , Osip Schwartz , Ephraim Shahmoon , Dan Oron , Roee Ozeri

Collective radiance is a fundamental phenomenon in quantum optics. However, these radiation effects remain largely unexplored in the field of quantum acoustics. In this work, we investigate the supercorrelated radiation effects in a…

Quantum Physics · Physics 2021-10-07 Jia-Qiang Chen , Yi-Fan Qiao , Xing-Liang Dong , Cai-Peng Shen , Xin-Lei Hei , Peng-Bo Li

We experimentally study collective decay of an extended disordered ensemble of $N$ atoms inside a hollow-core fiber. We observe up to $300$-fold enhanced decay rates, strong optical bursts and a coherent ringing. Due to inhomogeneities…

Quantum Physics · Physics 2024-05-30 Sergiy Stryzhenko , Alexander Bruns , Thorsten Peters

By scaling the parameters of meson-meson unitarized Chiral Perturbation Theory amplitudes according to the QCD large N_c rules, one can study the spectroscopic nature of light meson resonances. The scalars sigma, kappa f_0(980) and,…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. R. Pelaez

We investigate the cooperative effects on optical forces in a system of N two level atoms occupying a volume of dimensions to within $\lambda ^3$, where lambda is radiation wavelength and is driven by a coherent radiation field with a…

Quantum Physics · Physics 2009-11-07 P. V. Panat , S. V. Lawande

Theory of scattering by many small bodies is developed under various assumptions concerning the ratio $\frac{a}{d}$, where $a$ is the characteristic dimension of a small body and $d$ is the distance between neighboring bodies $d =…

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

In this article, the possibility of generating non-classical light due to Planck-scale effects is considered. For this purpose, a widely studied model of deformation of the Heisenberg uncertainty relation is applied to single-mode and…

General Relativity and Quantum Cosmology · Physics 2024-11-07 Danilo Artigas , Killian Martineau , Jakub Mielczarek

We investigate the photon statistics of an ensemble of coherently driven non-interacting two-level atoms in the weak driving regime. As it turns out, the system displays unique emission characteristics that are strongly in contrast to the…

Quantum Physics · Physics 2024-11-27 M. Bojer , A. Cidrim , P. P. Abrantes , R. Bachelard , J. von Zanthier

We investigate multiple scattering of scalar waves by an ensemble of $N$ resonant point scatterers in three dimensions. For up to $N = 21$ scatterers, we numerically optimize the positions of the individual scatterers, such as to maximize…

Quantum Physics · Physics 2017-11-22 Frank Schäfer , Felix Eckert , Thomas Wellens

We consider the interaction of a two-level atom inside an optical parametric oscillator. In the weak driving field limit, we essentially have an atom-cavity system driven by the occasional pair of correlated photons, or weakly squeezed…

Quantum Physics · Physics 2009-10-31 J. P. Clemens , P. R. Rice , P. K. Rungta , R. J. Brecha

The behavior at bifurcation from global synchronization to partial synchronization in finite networks of coupled oscillators is a complex phenomenon, involving the intricate dynamics of one or more oscillators with the remaining…

Adaptation and Self-Organizing Systems · Physics 2021-07-09 Lauren D Smith , Georg A Gottwald

Despite the quantum nature of the process, collective scattering by dense cold samples of two-level atoms can be interpreted classically describing the sample as a macroscopic object with a complex refractive index. We demonstrate that…

We develop a perturbative theory that describes a superluminal refractive perturbation propagating in a dispersive medium and the subsequent excitation of the quantum vacuum zero-point fluctuations. We find a process similar to the…

Cooperative emission is well understood for idealized symmetric systems, but its limits in spatially extended, free-space ensembles remain an open question. Here, we derive a universal law for the scaling of the maximum photon emission rate…

Collective phenomena emerging from non-linear interactions between multiple oscillators, such as synchronization and frequency locking, find applications in a wide variety of fields. Optomechanical resonators, which are intrinsically…