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This contribution has two main purposes. First, we show using classical optics how to model two coupled quantum harmonic oscillators and two interacting quantized fields. Second, we use quantum mechanical techniques to solve, exactly, the…

Making use of a generalized quantum theory of paraxial light propagation where the radiation-axis and the temporal coordinates play exchanged roles, we discuss the potential of bulk nonlinear optical media in cavityless configurations for…

量子气体 · 物理学 2015-10-06 P. -É. Larré , I. Carusotto

Based on the kinetic theory, the non-Abelian medium property of hot Quark-Gluon Plasma is investigated. The nonlinearity of the plasma comes from two aspects: The nonlinear wave-wave interaction and self-interaction of color field. The…

高能物理 - 唯象学 · 物理学 2009-11-07 Ji-sheng Chen , Jia-rong Li , Peng-fei Zhuang

We derive a stochastic wave equation for an inflaton in an environment of an infinite number of fields. We study solutions of the linearized stochastic evolution equation in an expanding universe. The Fokker-Planck equation for the inflaton…

高能物理 - 理论 · 物理学 2018-07-25 Z. Haba

The physical aspects of partially coherent radiation interacting with deterministic non-Hermitian periodic materials remain largely unexplored in the statistical optics literature. Here, we consider the scattering of partially coherent…

光学 · 物理学 2019-10-02 Paulo A. Brandão , S. B. Cavalcanti

We provide an analytic propagator for non-Hermitian dimers showing linear gain or losses in the quantum regime. In particular, we focus on experimentally feasible realizations of the $\mathcal{PT}$-symmetric dimer and provide their mean…

量子物理 · 物理学 2017-08-09 José Delfino Huerta Morales , B. M. Rodríguez-Lara

We study quantum effects of light propagation through an extended absorbing system of two-level atoms placed within a frequency gap medium (FGM). Apart from ordinary solitons and single particle impurity band states, the many-particle…

量子物理 · 物理学 2010-12-17 Sajeev John , Valery I. Rupasov

We consider a prototypical nonlinear parabolic equation whose flux has three distinguished features: it is nonlinear with respect to both the unknown and its gradient, it is homogeneous, and it depends only on the direction of the gradient.…

偏微分方程分析 · 数学 2021-09-24 Lorenzo Giacomelli , Salvador Moll , Francesco Petitta

The problem of quantum harmonic oscillator with "regular+random" square frequency, subjected to "regular+random external force, is considered in framework of representation of the wave function by complex-valued random process. Average…

量子物理 · 物理学 2007-05-23 A. S. Gevorkyan , A. A. Udalov

We give a comprehensive study on regularized approximate electromagnetic cloaking via the transformation optics approach. The following aspects are investigated: (i) near-invisibility cloaking of passive media as well as active/radiating…

偏微分方程分析 · 数学 2010-09-24 Hongyu Liu , Ting Zhou

An introductory overview on Light-Front quantization, with some emphasis on recent achievements, is given. Light-Front quantization is the most promising and physical tool to study deep inelastic scattering on the basis of quark gluon…

高能物理 - 唯象学 · 物理学 2014-11-17 Matthias Burkardt

We study the implications of quantum fluctuations of a dispersive medium, under steady rotation, either in or out of thermal equilibrium with its environment. A rotating object exhibits a quantum instability by dissipating its mechanical…

量子物理 · 物理学 2014-07-23 Mohammad F. Maghrebi , Robert L. Jaffe , Mehran Kardar

We consider the Ornstein-Uhlenbeck process with a broad initial probability distribution (Levy distribution), which exhibits so-called non-spectral modes. The relaxation of such modes differs from those determined from the parameters of the…

数据分析、统计与概率 · 物理学 2016-09-14 F. Thiel , I. M. Sokolov , E. B. Postnikov

We overview the properties of nonlinear guided waves and (bright and dark) spatial optical solitons in a periodic medium created by a sequence of linear and nonlinear layers. First, we consider a single layer with a cubic nonlinear response…

斑图形成与孤子 · 物理学 2009-04-01 Andrey A. Sukhorukov , Yuri S. Kivshar

We study the spontaneous emission, the absorption and dispersion properties of a ${\bf \Lambda}$-type atom where one transition interacts near resonantly with a double-band photonic crystal. Assuming an isotropic dispersion relation near…

量子物理 · 物理学 2009-11-06 D. G. Angelakis , E. Paspalakis , P. L. Knight

For partially coherent light fields with random fluctuations, the intensity distributions and statistics have been proven to be more propagation robust compared with coherent light. However, its full potential in practical applications has…

光学 · 物理学 2023-03-30 Xingyuan Lu , Zhuoyi Wang , Qiwen Zhan , Yangjian Cai , Chengliang Zhao

We give a detailed account of equilibrium and non-equilibrium fluctuational electrodynamics of hyperbolic metamaterials. We show the unifying aspects of two different approaches; one utilizes the second kind of fluctuation dissipation…

光学 · 物理学 2015-06-22 Yu Guo , Zubin Jacob

A stochastic theory is developed for the light transmitting the optical media exhibiting linear and nonlinear birefringence. The starting point is the two--component nonlinear Schr{"o}dinger equation (NLSE). On the basis of the ansatz of…

统计力学 · 物理学 2018-05-15 Satoshi Tsuchida , Hiroshi Kuratsuji

We develop fluctuational electrodynamics for media with nonlinear optical response in and out of thermal equilibrium. Starting from the stochastic nonlinear Helmholtz equation and using the fluctuation dissipation theorem, we obtain…

量子物理 · 物理学 2018-01-17 Heino Soo , Matthias Krüger

Particle-antiparticle pairs are predicted by quantum field theory to appear as vacuum fluctuations. The model of the vacuum used here is postulated to have the following properties: To minimize the violation of conservation energy allowed…

量子物理 · 物理学 2019-10-02 G. B. Mainland , Bernard Mulligan