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Diversities are a generalization of metric spaces, where instead of the non-negative function being defined on pairs of points, it is defined on arbitrary finite sets of points. Diversities have a well-developed theory. This includes the…

Metric Geometry · Mathematics 2020-10-23 David Bryant , Raúl Felipe , Mauricio Toledo-Acosta , Paul Tupper

The capabilities of multi-antenna technology have recently been significantly enhanced by the proliferation of extra large array architectures. The high dimensionality of these systems implies that communications take place in the nearfield…

Information Theory · Computer Science 2024-12-11 Xavier Mestre , Adrian Agustin , David Sarda

We skillfully utilized vacuum induced coherence to amplify the probe light, and then successfully achieved both nonreciprocal reflection and lasing oscillation in a single physical system by leveraging the distributed feedback and spatial…

The engineering of specialty lasers with unconventional mode structures is one of the modern challenges in the development of integrated coherent sources. Examples include the use of bound states in the continuum, microlasers with orbital…

We introduce a new type of synthetic saturable absorbers based on quantum inspired photonic arrays whose linear light transport characteristics can be derived via bosonic algebra. We demonstrate that the interplay between optical Kerr…

Optics · Physics 2016-10-18 M. H. Teimourpour , A. Rahman , K. Srinivasan , R. El-Ganainy

Ordered ensembles of atoms, such as atomic arrays, exhibit distinctive features from their disordered counterpart. In particular, while collective modes in disordered ensembles show a linear optical response, collective subradiant…

Quantum Physics · Physics 2023-04-25 Cosimo C. Rusconi , Tao Shi , J. Ignacio Cirac

The pseudomode method for open quantum systems, also known as the mesoscopic leads approach, consists in replacing a structured environment by a set of auxiliary "pseudomodes" subject to local damping that approximate the environment's…

Quantum Physics · Physics 2026-05-25 Wynter Alford , Laetitia P. Bettmann , Gabriel T. Landi

In this work, we study the transmission properties of one dimensional finite periodic systems with $\mathcal{PT}$-symmetry. A simple closed form expression is obtained for the total transmittance from a lattice of N cells, that allows us to…

Optics · Physics 2017-12-20 V. Achilleos , Y. Aurégan , V. Pagneux

We study the competing effects of stimulated and spontaneous emission on the information capacity of an amplifying disordered waveguide. At the laser threshold the capacity reaches a "universal" limit, independent of the degree of disorder.…

Quantum Physics · Physics 2007-05-23 J. Tworzydlo , C. W. J. Beenakker

Spectral singularities appearing in parity-time (PT)-symmetric non-Hermitian optical systems have aroused a growing interest due to their new, exhilarating applications, such as bifurcation effects at exceptional points and the coexistence…

Optics · Physics 2019-09-16 Mehdi Hajizadegan , Pai-Yen Chen

We examine the completeness of bi-orthogonal sets of eigenfunctions for non-Hermitian Hamiltonians possessing a spectral singularity. The correct resolutions of identity are constructed for delta like and smooth potentials. Their form and…

Mathematical Physics · Physics 2013-07-22 A. A. Andrianov , F. Cannata , A. V. Sokolov

We investigate a two-parametric family of one-dimensional non-Hermitian complex potentials with parity-time ($\mathcal{PT}$) symmetry. We find that there exist two distinct types of phase transitions, from an unbroken phase (characterized…

Quantum Physics · Physics 2025-11-13 Jinlin Fan , Feilong Wang , Ruolin Chai Zhibin Zhao , Qiongtao Xie

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

We demonstrate that a two-dimensional (2D) atomic array can be used as a novel platform for quantum optomechanics. Such arrays feature both nearly-perfect reflectivity and ultra-light mass, leading to significantly-enhanced optomechanical…

Quantum Physics · Physics 2020-06-30 Ephraim Shahmoon , Mikhail D. Lukin , Susanne F. Yelin

We show that the possibility to address and image single sites of an optical lattice, now an experimental reality, allows to measure the frequency-resolved local particle and hole spectra of a wide variety of one- and two-dimensional…

Quantum Gases · Physics 2015-10-21 Adrian Kantian , Ulrich Schollwöck , Thierry Giamarchi

This study explores the exciting properties of metamaterials and their innovative applications in non-Hermitian physics, with particular emphasis on the scattering formalism, a key topic of recent research. We have analyzed how light…

Collective coherent scattering of laser light induces strong light forces between polarizable point particles. These dipole forces are strongly enhanced in magnitude and distance within the field of an optical waveguide so that at low…

Quantum Physics · Physics 2016-01-20 Daniela Holzmann , Helmut Ritsch

Lattice resonances are collective optical modes supported by periodic arrays of scatterers, arising from their coherent interaction enabled by the underlying periodicity. Owing to their collective nature, these resonances produce optical…

The motive of this work is to understand the complex spatial characteristics of finite-amplitude elastic wave propagation in periodic structures and leverage the unique opportunities offered by nonlinearity to activate complementary…

Pattern Formation and Solitons · Physics 2017-06-27 R. Ganesh , Stefano Gonella

Super- and subradiance are usually described in the framework of Dicke collective states, which is an ``atomic picture'' in which the electromagnetic field only provides an effective interaction between the atoms. Here, we discuss a…

Atomic Physics · Physics 2023-01-09 S. Asselie , A. Cipris , W. Guerin