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In this letter we introduce POLARNet -- power control of multi-layer repeater networks -- for local optimization of SNR given different repeater power constraints. We assume relays or repeaters in groups or layers spatially separated. Under…

Systems and Control · Electrical Eng. & Systems 2025-12-11 Johan Siwerson , Johan Thunberg

The problem addressed in this paper is to control a plant so as to have its output tracking (a family of) reference commands generated at a remote location and transmitted through a communication channel of finite capacity. The uncertainty…

Optimization and Control · Mathematics 2007-05-23 Alberto Isidori , Lorenzo Marconi , Claudio De Persis

In this paper, we study the global approximate multiplicative controllability for nonlinear degenerate parabolic Cauchy-Neumann problems. First, we will obtain embedding results for weighted Sobolev spaces, that have proved decisive in…

Analysis of PDEs · Mathematics 2014-06-06 Giuseppe Floridia

We consider pulse propagation through a two component composite medium (metal inclusions in a dielectric host) with or without cavity mirrors. We show that a very thin slab of such a medium, under conditions of localized plasmon resonance,…

Optics · Physics 2009-11-13 M. Kulkarni , N. Seshadri , V. S. C. Manga Rao , S. Dutta Gupta

Bell nonlocality can be formulated in terms of a resource theory with local-hidden variable models as resourceless objects. Two such theories are known, one built upon local operations assisted by shared randomness (LOSRs) and the other one…

Quantum Physics · Physics 2017-03-22 Rodrigo Gallego , Leandro Aolita

We give explicit criteria for the reflectionlessness, transparency, and invisibility of a finite-range potential in the presence of an incoherent (intensity-dependent) nonlinearity that is confined to the range of the potential. This allows…

Quantum Physics · Physics 2017-10-12 Ali Mostafazadeh , Neslihan Oflaz

We analyze the nonlinear optical response of a five-level system under a novel configuration of electro-magnetically induced transparency. We show that a giant Kerr nonlinearity with a relatively large cross-phase modulation coefficient…

Quantum Physics · Physics 2009-11-11 Yun Li , Chao Hang , Lei Ma , Guoxiang Huang

This paper is devoted to the controllability of a general linear hyperbolic system in one space dimension using boundary controls on one side. Under precise and generic assumptions on the boundary conditions on the other side, we previously…

Optimization and Control · Mathematics 2019-10-29 Jean-Michel Coron , Hoai-Minh Nguyen

If the no-signalling principle was the only limit to the strength of non-local correlations, we would expect that any form of no-signalling correlation can indeed be realized. That is, there exists a state and measurements that remote…

Quantum Physics · Physics 2013-05-30 Tanvirul Islam , Stephanie Wehner

The premise that consciousness has a quantum mechanical basis or correlate implies that its workings have a nonlocal component. To check whether consciousness as an entity leaves a physical trace, we propose that laboratory searches for…

Quantum Physics · Physics 2014-03-28 Menas Kafatos , Subhash Kak

We present a consistent theoretical approach for calculating effective nonlinear susceptibilities of metamaterials taking into account both frequency and spatial dispersion. Employing the discrete dipole model, we demonstrate that effects…

An alternative proof for existence of ``quantum nonlocality without entanglement'', i.e. existence of variables with product-state eigenstates which cannot be measured locally, is presented. A simple``nonlocal'' variable for the case of…

Quantum Physics · Physics 2009-11-07 Berry Groisman , Lev Vaidman

We consider the problem where a network of sensors has to detect the presence of targets at any of $n$ possible locations in a finite region. All such locations may not be occupied by a target. The data from sensors is fused to determine…

Information Theory · Computer Science 2012-11-20 B. Santhana Krishnan , Animesh Kumar , D. Manjunath , Bikash K. Dey

Control of the phase and polarization states of light is an important goal for nearly all optical research. The development of an efficient optical component that allows the simultaneous manipulation of the polarization and phase…

We reveal the relevance between the nonlocality and the focusing/defocusing states in nonlocally nonlinear media, and predict a novel phenomenon that the self-focusing/self-defocusing property of the optical beam in the nonlocally nonlinear…

We study the existence and approximate controllability of a class of fractional nonlocal delay semilinear differential systems in a Hilbert space. The results are obtained by using semigroup theory, fractional calculus, and Schauder's fixed…

Optimization and Control · Mathematics 2013-11-26 Amar Debbouche , Delfim F. M. Torres

We propose and demonstrate theoretically a method to achieve and design optical nonlinear responses through a light-mediated spatial hybridization of different standard nonlinearities. The mechanism is based on the fact that optical…

Optics · Physics 2008-04-24 Alessandro Ciattoni , Eugenio Del Re , Carlo Rizza , Andrea Marini

Multimode optical fibers represent the ideal platform for transferring multidimensional light states. However, dispersion degrades the correlations between the light's degrees of freedom, thus limiting the effective transport of ultrashort…

The appeal of lasers can be attributed to both their ubiquitous applications and their role as model systems for elucidating nonequilibrium and cooperative phenomena. Introducing novel concepts in lasers thus has a potential for both…

Mesoscale and Nanoscale Physics · Physics 2019-04-15 Markus Lindemann , Gaofeng Xu , Tobias Pusch , Rainer Michalzik , Martin R. Hofmann , Igor Žutić , Nils C. Gerhardt

Light is one of the most powerful and precise tools allowing us to control, shape and create new phases of matter. In this task, the magnetic component of a light wave has so far played a unique role in defining the wave's helicity, but its…