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We study a chemotaxis-consumption mechanism, in which some chemical signal and cells density interact each other. In order to control the concentration of such a population, sources involving gradient nonlinearities, which introduce a…

Analysis of PDEs · Mathematics 2025-01-24 Daniel Acosta Soba , Alessandro Columbu , Giuseppe Viglialoro

Quantum path interferences occur whenever multiple equivalent and coherent transitions result in a common final state. Such interferences strongly modify the probability of a particle to be found in that final state, a key concept of…

Dynamics of a particle in a perfect chain with one nonlinear impurity and in a perfect nonlinear chain under the action of dc field is studied numerically. The nonlinearity appears due to the coupling of the electronic motion to optical…

Condensed Matter · Physics 2009-10-31 P. K. Datta , A. M. Jayannavar

Nonlinear and nonlocal effects are discussed in the interaction of laser fields with thermal Rydberg atoms in electromagnetically induced transparency configuration. We show that under the crucial approximation that the time variation in…

Atomic Physics · Physics 2016-09-21 Lida Zhang , Jörg Evers

This article investigates the effect of near non-resonant levels on the spectral lines of atoms interacting with an electromagnetic field. Specifically, we examine the AC Stark effect that occurs when the field frequency matches the…

Quantum Physics · Physics 2023-05-12 L. Hernández-Sánchez , I. Ramos-Prieto , F. Soto-Eguibar , H. M. Moya-Cessa

Doppler effect is a fundamental phenomenon that appears in wave propagation, where a moving observer experiences dilation or contraction of wavelength of a wave. It also appears in radio frequency (RF) wireless communication when there…

Information Theory · Computer Science 2019-04-09 Dushyantha A. Basnayaka , Tharmalingam Ratnarajah

We study coherent backscattering of a quasi-monochromatic laser by a dilute gas of cold two-level atoms. We consider the perturbative regime of weak intensities, where nonlinear effects arise from {\em inelastic} two-photon scattering…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Wellens , B. Gremaud , D. Delande , C. Miniatura

The influence of the interference of electron waves, which were scattered by single impurities, on nonlinear quantum conductance of metallic microconstrictions (as was recently investigated experimentally) is studied theoretically. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Namiranian , Yu. A. Kolesnichenko , A. N. Omelyanchouk

We consider the optical theorem for scattering of electromagnetic waves in nonlinear media. This result is used to obtain the power extinguished from a field by a nonlinear scatterer. The cases of second harmonic generation and the Kerr…

Optics · Physics 2015-07-01 Wei Li , John C. Schotland

A theory of non-linear emission of quantum dot ensembles coupled to the optical mode of the microcavity is presented. Numerical results are compared with analytical approaches. The effects of exciton-exciton interaction within the quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 A. N. Poddubny , M. M. Glazov , N. S. Averkiev

We present a new, more nuanced understanding of non-linear effects in inverse Compton sources. Contrary to what has been heretofore understood, deleterious non-linear effects can arise even at low laser intensities, a regime previously…

Accelerator Physics · Physics 2020-06-24 Balša Terzić , Geoffrey Krafft

The analysis of nonlinear wave equations has experienced a dramatic growth in the last ten years or so. The key factor in this has been the transition from linear analysis, first to the study of bilinear and multilinear wave interactions,…

Analysis of PDEs · Mathematics 2007-05-23 Daniel Tataru

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…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ji-sheng Chen , Jia-rong Li , Peng-fei Zhuang

As a light beam is produced by an amplification of modes of the zero point field in its source, this field cannot be distinguished; consequently a nonlinear optical effect is a function of the total field. However, we generally prefer to…

Optics · Physics 2007-05-23 Jacques Moret-Bailly

We have used density functional theory to study the nonlinear screening properties of a two-dimensional (2D) electron gas. In particular, we consider the screening of an external static point charge of magnitude Z as a function of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Zaremba , I. Nagy , P. M. Echenique

We show that even small nonlinearities significantly affect particle production in the dynamical Casimir effect at large evolution times. To that end, we derive the effective Hamiltonian and resum leading loop corrections to the particle…

High Energy Physics - Theory · Physics 2022-06-14 Dmitrii A. Trunin

Classical optical frameworks such as the discrete dipole approximation (DDA) assume that the linear spectrum of coupled quantum emitters can be computed solely from the linear susceptibilities of individual constituents. However, recent…

Optics · Physics 2026-04-29 Sricharan Raghavan-Chitra , Arghadip Koner , Joel Yuen-Zhou

Nonlinear optical signals from an assembly of N noninteracting particles consist of an incoherent and a coherent component, whose magnitudes scale \sim N and \sim N(N-1), respectively. A unified microscopic description of both types of…

Quantum Physics · Physics 2009-11-13 Christoph A. Marx , Upendra Harbola , Shaul Mukamel

In the present paper, we study nonresonant corrections for experimental measurements of the transition frequencies in the helium atom. Having attracted more attention, such effects can make a significant contribution to experiments based on…

Atomic Physics · Physics 2022-04-29 T. Zalialiutdinov , A. Anikin , D. Solovyev

Nonlinear interaction of a low density electron beam with a uniform plasma is studied using two-dimensional particle-in-cell (PIC) simulations. We focus on formation of coherent phase space structures in the case, when a wide…

Plasma Physics · Physics 2012-05-21 I. V. Timofeev