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We employ a quantum theory of the nonlinear optical response from an actual solid-state material possessing an intrinsic bulk contribution to the third-order nonlinear susceptibility (Kerr-type nonlinearity), which can be arbitrarily…

Mesoscale and Nanoscale Physics · Physics 2012-01-25 Sara Ferretti , Dario Gerace

Self-mode-locking has become an emerging path to the generation of ultrashort pulses with vertical-external-cavity surface-emitting lasers. In our work, a strong Kerr nonlinearity that is so far assumed to give rise to mode-locked operation…

Following the concept of $\mathcal{PT}$-symmetric couplers, we propose a linearly coupled system of nonlinear waveguides, made of positive- and negative-index materials, which carry, respectively, gain and loss. We report novel bi- and…

Pattern Formation and Solitons · Physics 2019-10-08 A. Govindarajan , Boris A. Malomed , M. Lakshmanan

We study the ground states of the one-dimensional non-self-adjoint Jacobi operators in the almost periodic media by using the method of dynamical systems. We show the existence of the ground state. Particularly, in the quasi-periodic media,…

Dynamical Systems · Mathematics 2022-03-29 Xing Liang , Honngze Wang , Qi Zhou

We show the formation of slow optical solitons in the asymmetric coupled double quantum-wells (CQW) via a two-photon Raman resonance. With the consideration of real parameters in AlGaAs-based CQW, we indicate the possibility to have…

Optics · Physics 2015-05-13 Wen-Xing Yang , Ray-Kuang Lee

Non-reciprocal optical components are indispensable in optical applications, and their realization without any magnetic field arose increasing research interests in photonics. Exciting experimental progress has been achieved by either…

Stationary axisymmetric binary systems of unequal counterrotating Kerr-Newman sources with a massless strut in between are studied. By means of the choice of a suitable parametrization, the axis conditions and the absence of individual…

General Relativity and Quantum Cosmology · Physics 2017-07-03 I. Cabrera-Munguia

Optical nonlinearities typically require macroscopic media, thereby making their implementation at the quantum level an outstanding challenge. Here we demonstrate a nonlinearity for one atom enclosed by two highly reflecting mirrors. We…

Quantum Physics · Physics 2008-05-13 I. Schuster , A. Kubanek , A. Fuhrmanek , T. Puppe , P. W. H. Pinkse , K. Murr , G. Rempe

Light propagation in asymmetric Kerr-nonlinear multilayers with perfect transmission resonances is theoretically investigated. It is found that hybrid Fabry-P\'erot/photonic-crystal structures of the type (BA)^k(AB)^k(AABB)^m exhibit both…

Optics · Physics 2011-02-25 Sergei V. Zhukovsky , Andrey G. Smirnov

Dark solitons and localized defect modes against periodic backgrounds are considered in arrays of waveguides with defocusing Kerr nonlinearity constituting a nonlinear lattice. Bright defect modes are supported by local increase of the…

Pattern Formation and Solitons · Physics 2021-11-02 Liangwei Zeng , Vladimir V. Konotop , Xiaowei Lu , Yi Cai , Qifan Zhu , Jingzhen Li

We develop the theory of nonlinear localised modes (intrinsic localised modes or discrete breathers) in two-dimensional (2D) photonic crystal waveguides. We consider different geometries of the waveguides created by an array of nonlinear…

Condensed Matter · Physics 2009-10-31 Serge F. Mingaleev , Yuri S. Kivshar , Rowland A. Sammut

We propose the use of a superconducting charge qubit capacitively coupled to two resonant nanomechanical resonators to generate Yurke-Stoler states, i.e. quantum superpositions of pairs of distinguishable coherent states 180$^\circ$ out of…

Quantum Physics · Physics 2015-05-13 F. L. Semião , K. Furuya , G. J. Milburn

We investigate a hybrid electro-optomechanical system that allows us to obtain controllable strong Kerr nonlinearities in the weak-coupling regime. We show that when the controllable electromechanical subsystem is close to its quantum…

Quantum Physics · Physics 2013-10-25 Xin-You Lü , Wei-Min Zhang , Sahel Ashhab , Ying Wu , Franco Nori

We consider a sub-wavelength periodic layered medium whose slabs are filled by arbitrary linear metamaterials and standard nonlinear Kerr media and we show that the homogenized medium behaves as a Kerr medium whose parameters can assume…

Optics · Physics 2013-05-29 A. Ciattoni , C. Rizza , E. Palange

We present a two-dimensional photonic crystal design with a microcavity of four defect dielectric rods with eigenfrequencies residing in the propagating band of directional waveguide. In the linear case for tuning of material parameters of…

Optics · Physics 2015-06-19 Evgeny N. Bulgakov , Almas F. Sadreev

We study nonlinear modes of dual-core photonic crystal fiber couplers made of a material with the focusing Kerr nonlinearity. We find numerically the profiles of symmetric, antisymmetric, and asymmetric nonlinear modes, and analyze…

Pattern Formation and Solitons · Physics 2009-11-11 Jose R. Salgueiro , Yuri S. Kivshar

By employing Pauli measurements, we present some nonlinear steering criteria applicable for arbitrary two-qubit quantum systems and optimized ones for symmetric quantum states. These criteria provide sufficient conditions to witness…

Quantum Physics · Physics 2020-10-02 Guo-Zhu Pan , Ming Yang , Hao Yuan , Gang Zhang , Jun-Long Zhao

Multi-photon dynamics beyond linear optical materials are of significant fundamental and technological importance in quantum information processing. However, it remains largely unexplored in nonlinear waveguide QED. In this work, we…

Quantum Physics · Physics 2024-12-09 Xin Wang , Jia-Qi Li , Tao Liu , Adam Miranowicz , Franco Nori

We introduce a one-dimensional model based on the nonlinear Schrodinger/Gross-Pitaevskii equation where the local nonlinearity is subject to spatially periodic modulation in terms of the Jacobi dn function, with three free parameters…

Pattern Formation and Solitons · Physics 2018-01-17 E. Ding , H. N. Chan , K. W. Chow , K. Nakkeeran , B. A. Malomed

In the present work, we examine "binary" waveguide arrays, where the coupling between adjacent sites alternates between two distinct values $C_1$ and $C_2$ and a saturable nonlinearity is present on each site. Motivated by experimental…

Pattern Formation and Solitons · Physics 2015-05-22 Andrey Kanshu , Christian E. Rüter , Detlef Kip , Jesús Cuevas , Panayotis G. Kevrekidis