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We study the dynamics of bright and dark matter-wave solitons in the presence of a spatially varying nonlinearity. When the spatial variation does not involve zero crossings, a transformation is used to bring the problem to a standard…

Quantum Physics · Physics 2009-11-13 S. Middelkamp , P. G. Kevrekidis , D. J. Frantzeskakis , P. Schmelcher

The superfluid to Mott insulator transition in cavity polariton arrays is analyzed using the variational cluster approach, taking into account quantum fluctuations exactly on finite length scales. Phase diagrams in one and two dimensions…

Other Condensed Matter · Physics 2009-09-17 Markus Aichhorn , Martin Hohenadler , Charles Tahan , Peter B. Littlewood

We predict that the interplay between the spin-orbit coupling, stemming from the TE-TM energy splitting, and the Zeeman effect in semiconductor microcavities supporting exci- ton-polariton quasi-particles results in the appearance of…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Chunyan Li , Fangwei Ye , Xianfeng Chen , Yaroslav V. Kartashov , Albert Ferrando , Lluis Torner , Dmitry V. Skryabin

Collective excitations, such as vortex-antivortex and dark solitons, are among the most fascinating effects of macroscopic quantum states. However, 2D dark solitons are unstable and collapse into vortices due to snake instabilities. Making…

We theoretically demonstrate a mechanism for bright soliton generation in spinor non-equilibrium Bose-Einstein condensates made of atoms or quasiparticles such as polaritons in semiconductor microcavities. We give analytical expressions for…

Pattern Formation and Solitons · Physics 2016-05-10 F. Pinsker , H. Flayac

Hybrid excitations, called polaritons, emerge in systems with strong light-matter coupling. Usually, they dominate the linear and nonlinear optical properties with applications in quantum optics. Here, we show the crucial role of the…

We present a microscopic theory for nonlinear optical spectroscopy of N molecules in an optical cavity. A quantum Langevin analytical expression is derived for the time- and frequency-resolved signals accounting for arbitrary numbers of…

Quantum Physics · Physics 2023-03-29 Zhedong Zhang , Xiaoyu Nie , Dangyuan Lei , Shaul Mukame

We consider a simple cubic array of metallic nanoparticles supporting extended collective plasmons that arise from the near-field dipolar interaction between localized surface plasmons in each nanoparticle. We develop a fully analytical…

Mesoscale and Nanoscale Physics · Physics 2015-01-12 Guillaume Weick , Eros Mariani

We characterize the full family of soliton solutions sitting over a background plane wave and ruled by the cubic-quintic nonlinear Schroedinger equation in the regime where a quintic focusing term represents a saturation of the cubic…

Pattern Formation and Solitons · Physics 2015-06-03 M. Crosta , A. Fratalocchi , S. Trillo

We present a brief overview of the basic concepts of the soliton stability theory and discuss some characteristic examples of the instability-induced soliton dynamics, in application to spatial optical solitons described by the NLS-type…

Pattern Formation and Solitons · Physics 2018-04-23 Yuri S. Kivshar , Andrey A. Sukhorukov

Nonlocality is a key feature of many physical systems since it prevents a catastrophic collapse and a symmetry-breaking azimuthal instability of intense wave beams in a bulk self-focusing nonlinear media. This opens up an intriguing…

Pattern Formation and Solitons · Physics 2017-02-16 V. M. Biloshytskyi , A. O. Oliynyk , P. M. Kruglenko , A. S. Desyatnikov , A. I. Yakimenko

We consider the orientational alignment of dipoles due to strong matter light coupling, for a non-vanishing density of excitations. We compare various approaches to this problem in the limit of large numbers of emitters, and show that…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 Jonathan Keeling , Peter G. Kirton

The effect of an externally applied force upon dynamics of dissipative solitons is analyzed in the framework of the one-dimensional cubic-quintic complex Ginzburg-Landau equation supplemented by a linear potential term. The potential…

Pattern Formation and Solitons · Physics 2018-02-08 Bogdan A. Kochetov , Vladimir R. Tuz

The interaction of moving discrete solitons with a linear Gaussian defect is investigated. Solitons with profiles varying from hyperbolic secant to exponentially localized are considered such that the mobility of soliton is maintained; the…

Pattern Formation and Solitons · Physics 2013-07-17 Valeriy A. Brazhnyi , Chandroth P. Jisha , A. S. Rodrigues

Motivated by the dramatic success of realizing cavity exciton-polariton condensation in experiment we consider the formation of polaritons from cavity photons and the amplitude or Higgs mode of a superconductor. Enabled by the recently…

Superconductivity · Physics 2020-02-19 Zachary M. Raines , Andrew A. Allocca , Mohammad Hafezi , Victor M. Galitski

Cavity quantum electrodynamics provides an ideal platform to engineer and control light-matter interactions with polariton quasiparticles. In this work, we investigate collective phenomena in a system of many particles in a harmonic trap…

Quantum Physics · Physics 2023-06-21 V. Rokaj , S. I. Mistakidis , H. R. Sadeghpour

We study the dynamics of localized pulses in the complex cubic-quintic Ginzburg-Landau (GL) equation with strong nonlinearity management. The generalized complex GL equation, averaged over rapid modulations of the nonlinearity, is derived.…

Pattern Formation and Solitons · Physics 2020-12-22 Fatkhulla Kh. Abdullaev , Sadulla Sh. Tadjimuratov , Abdulaziz A. Abdumalikov

The general theory of dark solitons relies on repulsive interactions and therefore predicts the impossibility to form dark-soliton bound states. One important exception to this prediction is the observation of bound solitons in non-local…

By effectively controlling the dipole-dipole interaction, we investigate the characteristics of the ground state of bright solitons in a spin-orbit coupled dipolar Bose-Einstein condensate. The dipolar atoms are trapped within a…

We consider theoretically the optomechanical interaction of several mechanical modes with a single quantized cavity field mode for linear and quadratic coupling. We focus specifically on situations where the optical dissipation is the…

Quantum Physics · Physics 2014-10-24 H. Seok , L. F. Buchmann , S. Singh , P. Meystre