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We consider a parity-time ($\mathcal{PT}$-) symmetric waveguide consisting of a localized gain and loss elements separated by a variable distance. The situation is modelled by a Schr\"odiner operator with localized complex…

Mathematical Physics · Physics 2019-10-10 D. I. Borisov , D. A. Zezyulin

Nonreciprocal transmission is the fundamental process behind unidirectional wave propagation phenomena. In our work, a compact and practical parity-time (PT) symmetric metamaterial is designed based on two Silicon Carbide (SiC) media…

Optics · Physics 2020-06-29 Boyuan Jin , Christos Argyropoulos

Phase modulation has scarcely been mentioned in diffusive systems since the diffusion process does not carry momentum like waves. Recently, the non-Hermitian physics provides a new perspective for understanding diffusion and shows prospects…

Applied Physics · Physics 2023-09-27 Pei-Chao Cao , Ran Ju , Dong Wang , Minghong Qi , Yun-Kai Liu , Yu-Gui Peng , Hongsheng Chen , Xue-Feng Zhu , Ying Li

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

Spontaneous symmetry breaking is a phenomenon of an alteration of a state symmetry without a change in the system symmetry. A transition from a state with unbroken symmetry to a state with broken symmetry leads to a qualitative change in…

Quantum Physics · Physics 2024-08-12 A. R. Mukhamedyanov , E. S. Andrianov , A. A. Zyablovsky

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

Realization and manipulation of parity-time (PT) symmetry in multidimensional systems are highly desirable for exploring nontrivial physics and uncovering exotic phenomena in non-Hermitian systems. Here, we report the first experimental…

We extend the transformation-optics paradigm to a complex spatial coordinate domain, in order to deal with electromagnetic metamaterials characterized by balanced loss and gain, giving special emphasis to parity-time (PT) symmetric…

If a Hamiltonian is PT symmetric, there are two possibilities: Either the eigenvalues are entirely real, in which case the Hamiltonian is said to be in an unbroken-PT-symmetric phase, or else the eigenvalues are partly real and partly…

Mathematical Physics · Physics 2015-06-05 Carl M. Bender , Bjorn K. Berntson , David Parker , E. Samuel

We consider non-Hermitian ${\cal PT}$-symmetric tight-binding chains where gain/loss optical potentials of equal magnitudes $\pm{\rm i}\gamma$ are arbitrarily distributed over all sites. The main focus is on the threshold $\gamma_c$ beyond…

Mesoscale and Nanoscale Physics · Physics 2022-01-13 Jean-Marc Luck

The effect of PT-symmetry breaking in coupled systems with balanced gain and loss has recently attracted considerable attention and has been demonstrated in various photonic, electrical and mechanical systems in the classical regime. Here…

Quantum Physics · Physics 2020-10-21 Julian Huber , Peter Kirton , Stefan Rotter , Peter Rabl

Using transfer-matrix methods, we investigate the response of a multilayered metamaterial system containing defects to an incident acoustic plane wave at normal or oblique incidence. The transmission response is composed of pass-bands with…

Materials Science · Physics 2018-06-28 D. Psiachos , M. M. Sigalas

Parity-time (PT) symmetry is a fundamental notion in quantum field theories. It has opened a new paradigm for non-Hermitian Hamiltonians ranging from quantum mechanics, electronics, to optics. In the realm of optics, optical loss is…

Optics · Physics 2014-10-21 Liang Feng , Zi Jing Wong , Renmin Ma , Yuan Wang , Xiang Zhang

Classical open systems with balanced gain and loss, i.e. parity-time ($\mathcal{PT}$) symmetric systems, have attracted tremendous attention over the past decade. Their exotic properties arise from exceptional point (EP) degeneracies of…

Quantum Physics · Physics 2021-02-17 Zachary A. Cochran , Avadh Saxena , Yogesh N. Joglekar

By investigating information flow between a general parity-time (PT) -symmetric non-Hermitian system and an environment, we find that the complete information retrieval from the environment can be achieved in the PT-unbroken phase, whereas…

Quantum Physics · Physics 2017-11-07 Kohei Kawabata , Yuto Ashida , Masahito Ueda

We propose a generalized parity-time ($\mathcal{PT}$) -symmetric Li\'enard oscillator with two different orders of nonlinear position-dependent dissipation. We study the stability of the stationary states by using the eigenvalues of…

Chaotic Dynamics · Physics 2019-09-12 Jyoti Prasad Deka , Arjunan Govindarajan , Manas Kulkarni , Amarendra K. Sarma

I will provide a pedagogical introduction to non-Hermitian quantum systems that are PT-symmetric, that is they are left invariant under a simultaneous parity transformation (P) and time-reversal (T). I will explain how generalised versions…

Quantum Physics · Physics 2023-02-27 Andreas Fring

We address propagation of light in nonlinear twisted multi-core fibers with alternating amplifying and absorbing cores that are arranged into the PT - symmetric structure. In this structure, the coupling strength between neighboring cores…

The interplay between superconductivity and environmental dissipation, effectively captured by non-Hermitian Hamiltonian, is a new frontier for exotic quantum phases. We explore a PT-symmetric non-Hermitian superconductor with balanced gain…

Superconductivity · Physics 2025-09-04 Xuezhu Liu , Ming Lu , Haiwen Liu , X. C. Xie

Parametric amplifiers are an integral part of measurements involving the conversion of propagating quantum information to mechanical motion. General time-dependent PT-symmetric parametric oscillators for unbroken parity and time reversal…

Quantum Physics · Physics 2023-12-04 Pinaki Patra