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We investigate the switching dynamics in a $\mathcal{PT}$-symmetric fiber coupler composed of a saturable nonlinear material as the core. In such a saturable nonlinear medium, bistable solitons may evolve due to the balance between…

The recent progress in the context of elastic metamaterials and modulated waveguides with digitally controllable properties has opened new pathways to overcome the limitations dictated by Hermitian Hamiltonians in mechanics. Among the…

Applied Physics · Physics 2022-07-13 Emanuele Riva

We use path integrals to calculate perturbative corrections to the correlation function of a particle under the action of nonlinear optical tweezers, both in the overdamped and underdamped regimes. In both cases, it is found that to leading…

Optics · Physics 2021-01-27 Bruno Suassuna , Bruno Melo , Thiago Guerreiro

We explore the consequences of incorporating parity and time reversal ($\mathcal{PT}$) symmetries on the dynamics of nonreciprocal light propagation exhibited by a class of nonuniform periodic structures known as chirped…

Pattern Formation and Solitons · Physics 2019-11-13 S. Vignesh Raja , A. Govindarajan , A. Mahalingam , M. Lakshmanan

Open-dissipative systems obeying parity-time ($\mathcal{PT}$) symmetry are capable of demonstrating oscillatory dynamics akin to the conservative systems. In contrast to limit cycle solutions characteristic of nonlinear systems, the…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 I. Chestnov , Y. G. Rubo , A. Nalitov , A. Kavokin

We examine numerically the time-dependent properties of nonlinear bistable multilayer structures for constant wave illumination. We find that our system exhibits both steady-state and self-pulsing solutions. In the steady state regime, we…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Lidorikis , C. M. Soukoulis

Parity-time (PT) symmetric systems have two distinguished phases, e.g., one with real energy eigenvalues and the other with complex conjugate eigenvalues. To enter one phase from the other, it is believed that the system must pass through…

Optics · Physics 2016-07-27 Li Ge

The nonreciprocal wave propagation in PT-symmetric periodic stack of binary dielectric layers characterised by balances loss and gain is analysed. The main mechanisms and resonant properties of the scattered plane waves are illustrated by…

Optics · Physics 2015-05-12 Oksana Shramkova , Giorgos Tsironis

We theoretically investigate PT symmetry, induced mechanical lasing and force sensing in an optically levitated nanoparticle with coupled oscillation modes. The coupling in the levitated system is created by the modulation of an asymmetric…

Quantum Physics · Physics 2024-04-18 Sandeep Sharma , A. Kani , M. Bhattacharya

The parity-time ($\mathcal{PT}$) symmetric structures have exhibited potential applications in developing various robust quantum devices. In an optical trimmer with balanced loss and gain, we analytically study the $\mathcal{PT}$ symmetric…

Quantum Physics · Physics 2019-10-21 L. F. Xue , Z. R. Gong , H. B. Zhu , Z. H. Wang

We introduce four basic two-dimensional (2D) plaquette configurations with onsite cubic nonlinearities, which may be used as building blocks for 2D PT -symmetric lattices. For each configuration, we develop a dynamical model and examine its…

Quantum Physics · Physics 2012-10-24 Kai Li , P. G. Kevrekidis , Boris A. Malomed , Uwe Guenther

Parity-time (PT) symmetry has attracted a lot of attention since the concept of pseudo-Hermitian dynamics of open quantum systems was first demonstrated two decades ago. Contrary to their Hermitian counterparts, non-conservative…

We show that optomechanical quantum systems can undergo dissipative phase transitions within the limit of small nonlinear interaction and strong external drive. In such a defined thermodynamical limit, the nonlinear interaction stabilizes…

Quantum Physics · Physics 2023-05-17 Fatemeh Bibak , Uroš Delić , Markus Aspelmeyer , Borivoje Dakić

A class of structures based on PT PT-symmetric Bragg gratings in the presence of both gain and loss is studied. The basic concepts and properties of parity and time reversal in one-dimensional structures that possess idealised material…

We present design of an all-optical diode in a metal-dielectric structure where plasmonic attenuation and quasi-phase-matching (QPM) is harnessed to improve its performance greatly. Due to the anti-symmetric design of the nonlinear…

Optics · Physics 2014-11-19 Ming-Liang Ren , Xiao-Lan Zhong , Bao-Qin Chen , Zhi-Yuan Li

We report on the creation of new lasing modes with spatially nonuniform distributions of optical gain in a one-dimensional random structure. It is demonstrated numerically that even without gain saturation and mode competition, the spatial…

Optics · Physics 2009-11-12 Jonathan Andreasen , Hui Cao

We study some new dynamical systems where the corresponding piecewise linear flow is neither time reversible nor measure preserving. We create a dissipative system by starting with a finite polysquare translation surface, and then modifying…

Dynamical Systems · Mathematics 2024-05-29 J. Beck , W. W. L. Chen , Y. Yang

Nonlinear optics is a rapidly growing field that has found a wide range of applications. A major limitation, however, is the demand of high power, especially for high-order nonlinearities. Here, by reconfiguring a multiple-scattering…

Optics · Physics 2022-08-19 Yaniv Eliezer , Ulrich Ruhrmair , Nils Wisiol , Stefan Bittner , Hui Cao

Stability of solitons in parity-time (PT)-symmetric periodic potentials (optical lattices) is analyzed in both one- and two-dimensional systems. First we show analytically that when the strength of the gain-loss component in the PT lattice…

Optics · Physics 2015-06-03 Sean Nixon , Lijuan Ge , Jianke Yang

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