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We study the families of nonlinear modes described by the nonlinear Schr\"odinger equation with the PT-symmetric harmonic potential $x^2-2i\alpha x$. The found nonlinear modes display a number of interesting features. In particular, we have…

Pattern Formation and Solitons · Physics 2012-04-25 Dmitry A. Zezyulin , Vladimir V. Konotop

Optical lattice loaded with cold atoms can exhibit a tunable photonic band gap for a weak probe field under the conditions of electromagnetically induced transparency. This system possesses a number of advantageous properties, including…

Quantum Physics · Physics 2011-11-10 David Petrosyan

We report branches of explicit expressions for nonlinear modes in parity-time (PT) symmetric potentials of several types. For the single-well and double-well potentials the found solutions are two-parametric and appear to be stable even…

Pattern Formation and Solitons · Physics 2015-09-30 Zhenya Yan , Zichao Wen , Vladimir V. Konotop

Regulation of topological structures and pattern formation is attracting wide interest in the field of condensed matter. Liquid crystals (LCs) represent soft matter with a remarkable combination of fluidity and anisotropic properties.…

Soft Condensed Matter · Physics 2025-12-09 Natalia Podoliak , Lubor Lejcek , Martin Cigl , Vladimira Novotna

Photonic systems with parity-time (PT) symmetry and topology are attracting considerable attentions. In this work, topological near-zero edge states are studied in PT-symmetric photonic lattice and the results indicate that the near-zero…

We propose a scheme to realize parity-time (PT) symmetry via electromagnetically induced transparency (EIT). The system we consider is an ensemble of cold four-level atoms with an EIT core. We show that the cross-phase modulation…

Quantum Physics · Physics 2015-06-16 Huijun Li , Jianpeng Dou , Guoxiang Huang

Subwavelength atomic arrays offer a powerful platform for engineering cooperative light-matter interactions and enabling quantum metasurfaces. We demonstrate that a two-dimensional array of three-level atoms operating under…

Quantum Physics · Physics 2025-12-01 Shiwen Sun , Yi-Xin Wang , Xiao Liu , Yan Zhang

We theoretically investigate the optical properties of parity-time (PT)-symmetric three dimensional metamaterials composed of strongly-coupled planar plasmonic waveguides. By tuning the loss-gain balance, we show how the initially isotropic…

Optics · Physics 2015-06-16 Hadiseh Alaeian , Jennifer A. Dionne

In this paper, for the first time, analytical expressions for determination of the wavelength of defect modes (DMs) in one-dimensional (1D) photonic crystals (PCs) with two defect layers (DLs) were obtained from the condition of zero…

Optics · Physics 2024-08-09 A. O. Kamenev , N. A. Vanyushkin , I. M. Efimov , A. H. Gevorgyan

We investigate optical bistability in a multilayer one-dimensional photonic crystal where the central layer is doped with $\Lambda$-type three level atoms. We take into account the influence of spontaneously generated coherence when the…

Quantum Physics · Physics 2015-06-17 Shahnaz Aas , Özgür E. Müstecaplioğlu

We demonstrate a mechanical crystal with an optically programmable defect mode. By applying an optical spring to a single unit cell of a phononic crystal membrane, we smoothly transfer a single mechanical mode into the bandgap, thereby…

Parity-time-symmetric ($\mathcal{PT}$-symmetric) optical waveguide couplers offer a great potential for future applications in integrated optics. Studies of nonlinear $\mathcal{PT}$-symmetric couplers present new possibilities for…

Optics · Physics 2023-07-19 Wiktor Walasik , Chicheng Ma , Natalia M. Litchinitser

Materials with extreme photonic properties such as maximum diffuse reflectance, high albedo, or tunable band gaps are essential in many current and future photonic devices and coatings. While photonic crystals, periodic anisotropic…

We analyze the stability of a non-Hermitian coupler with respect to modulational inhomogeneous perturbations in the presence of unbalanced gain and loss. At the parity-time (PT) symmetry point the coupler is unstable. Suitable symmetry…

Pattern Formation and Solitons · Physics 2017-06-28 Yannis Kominis , Tassos Bountis , Sergej Flach

The lack of interactions between single photons prohibits direct nonlinear operations in quantum optical circuits, representing a central obstacle in photonic quantum technologies. Here, we demonstrate multi-mode nonlinear photonic circuits…

We propose a mechanism for realization of exact control of parity-time (PT) symmetry by using a periodically modulated nonlinear optical coupler with balanced gain and loss. It is shown that for certain appropriately chosen values of the…

Optics · Physics 2016-10-26 Baiyuan Yang , Xiaobing Luo , QiangLin Hu , XiaoGuang Yu

Two dimensional (2D) photonic crystals are well known for its ability to manipulate the propagation of electromagnetic wave inside the crystal. 1D and 2D photonic crystals are relatively easier to fabricate than 3D because the former work…

Optics · Physics 2012-09-20 Hendradi Hardhienata , Husin Alatas

The subject of PT-symmetry and its areas of application have been blossoming over the past decade. Here, we consider a nonlinear Schr\"odinger model with a complex potential that can be tuned controllably away from being PT-symmetric, as it…

Pattern Formation and Solitons · Physics 2018-01-26 J. Cuevas-Maraver , P. G. Kevrekidis , D. J. Frantzeskakis , Y. Kominis

Non-linear photonic crystals can be used to provide phase-matching for frequency conversion in optically isotropic materials. The phase-matching mechanism proposed here is a combination of form birefringence and phase velocity dispersion in…

Quantum Physics · Physics 2009-11-10 Michiel J. A. de Dood , William T. M. Irvine , Dirk Bouwmeester

Nonlinear photonics uses coherent interactions between optical waves to engineer functionality that is not possible with purely linear optics. Traditionally, the function of a nonlinear-optical device is determined during design and fixed…