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We introduce a one-dimensional PT-symmetric system, which includes the cubic self-focusing, a double-well potential in the form of an infinitely deep potential box split in the middle by a delta-functional barrier of an effective height…

Optics · Physics 2018-04-02 Zhaopin Chen , Yongyao Li , Boris A. Malomed

The recently-developed notion of 'parity-time (PT) symmetry' in optical systems with a controlled gain-loss interplay has spawned an intriguing way of achieving optical behaviors that are presently unattainable with standard arrangements.…

Optics · Physics 2016-12-21 Peng Peng , Wanxia Cao , Ce Shen , Weizhi Qu , Jianming Wen , Liang Jiang , Yanhong Xiao

We introduce a class of PT-symmetric systems which include mutually matched nonlinear loss and gain (inother words, a class of PT-invariant Hamiltonians in which both the harmonic and anharmonic parts are non-Hermitian). For a basic system…

Mathematical Physics · Physics 2015-05-27 Andrey E. Miroshnichenko , Boris A. Malomed , Yuri S. Kivshar

We consider optical media which feature antilinear symmetries. We show that: (i) spectral singularities of such media (if any) are always self-dual, i.e., correspond to CPA-lasers; (ii) under the change of a system's parameter the self-dual…

Optics · Physics 2017-12-12 Vladimir V. Konotop , Dmitry A. Zezyulin

We explore the dynamics of spontaneous breakdown of mirror symmetry in a pair of identical optomechanical cavities symmetrically coupled to a waveguide. Large optical intensities enable optomechanically-induced nonlinear detuning of the…

Optics · Physics 2017-05-10 Mohammad-Ali Miri , Ewold Verhagen , Andrea Alu

We study existence, stability, and dynamics of linear and nonlinear stationary modes propagating in radially symmetric multi-core waveguides with balanced gain and loss. We demonstrate that, in general, the system can be reduced to an…

Parity-time (PT) symmetry has been opening exciting opportunities in optics, yet the required careful balance of loss and gain has been hindering its practical implementations. Here, we propose a gain-free route to PT-symmetry based on…

Optics · Physics 2020-05-18 Huanan Li , Ahmed Mekawy , Alex Krasnok , Andrea Alù

Non-Hermitian optical systems with parity-time (PT) symmetry have recently revealed many intriguing prospects that outperform conservative structures. The prevous works are mostly rooted in complex arrangements with controlled gain-loss…

Optics · Physics 2019-11-13 Yue Jiang , Yefeng Mei , Ying Zuo , Yanhua Zhai , Jensen Li , Jianming Wen , Shengwang Du

Nonlinear wave propagation in parity-time ($\mathcal{PT}$) symmetric localized potentials is investigated analytically near a phase-transition point where a pair of real eigenvalues of the potential coalesce and bifurcate into the complex…

Pattern Formation and Solitons · Physics 2016-06-29 Sean Nixon , Jianke Yang

The Hamiltonian for a PT-symmetric chain of coupled oscillators is constructed. It is shown that if the loss-gain parameter $\gamma$ is uniform for all oscillators, then as the number of oscillators increases, the region of unbroken…

Mathematical Physics · Physics 2014-08-27 Carl M. Bender , Mariagiovanna Gianfreda , S. P. Klevansky

Light propagation in a nonlinear optical medium is nonreciprocal for spatially asymmetric linear permittivity. We here examine physical mechanism and properties of such nonreciprocity (NR). For this, we calculate transmission of light…

Quantum Physics · Physics 2017-09-29 Dibyendu Roy

We report a study on a closed-form nonlinear parity-time symmetric optical quadrimer waveguides system with a specific coupling scheme. The system yields power saturation behavior in the modes, which may be attributed to the inherent…

Optics · Physics 2015-08-20 Samit Kumar Gupta , Jyoti Prasad Deka , Amarendra K. Sarma

Non-Hermiticity has recently emerged as a rapidly developing field due to its exotic characteristics related to open systems, where the dissipation plays a critical role. In the presence of balanced energy gain and loss with environment,…

Optics · Physics 2024-04-10 Chang Li , Ruisheng Yang , Xinchao Huang , Quanhong Fu , Yuancheng Fan , Fuli Zhang

Nonlinear effects in microresonators are efficient building blocks for all-optical computing and telecom systems. With the latest advances in microfabrication, coupled microresonators are used in a rapidly growing number of applications. In…

Open, non-equilibrium systems with balanced gain and loss, known as parity-time ($\mathcal{PT}$)-symmetric systems, exhibit properties that are absent in closed, isolated systems. A key property is the $\mathcal{PT}$-symmetry breaking…

Quantum Physics · Physics 2018-01-10 Andrew K. Harter , Franck A. Onanga , Yogesh N. Joglekar

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…

An optoelectronic oscillator (OEO) is a time delay oscillator (TDO) that uses photonics technology to provide the long delay required to generate pristine microwave carriers. Parity-time (PT) symmetry concepts applied to an OEO offer the…

Optics · Physics 2023-06-28 Mehedi Hasan , Abhijit Banerjee , Trevor Hall

The nonlinear dynamics of a balanced parity-time symmetric optical microring arrangement are analytically investigated. By considering gain and loss saturation effects, the pertinent conservation laws are explicitly obtained in the Stokes…

In the present work, we explore the case of a general PT-symmetric dimer in the context of two both linearly and nonlinearly coupled cubic oscillators. To obtain an analytical handle on the system, we first explore the rotating wave…

Pattern Formation and Solitons · Physics 2014-09-26 J. Cuevas-Maraver , A. Khare , P. G. Kevrekidis , H. Xu , A. Saxena

Large exciton-polariton optical nonlinearities present a key mechanism for photonics-based communication, ultimately in the quantum regime. Enhanced nonlinear response from various materials hosting excitons and allowing for their strong…

Mesoscale and Nanoscale Physics · Physics 2024-08-05 Anna M. Grudinina , Nina S. Voronova