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Parity-time (PT) symmetry is of great interest. The reciprocal and unidirectional features are intriguing besides the PT symmetry phase transition. Recently, the reciprocal transmission, unidirectional reflectionless and invisibility are…

Quantum Physics · Physics 2016-03-01 L. Jin , X. Z. Zhang , G. Zhang , Z. Song

Based on the reciprocity theorem, we put forward a generalized parametric space for an arbitrary transfer matrix with parity time (PT) symmetry. Through this space, one can extract complete information involving PT phases, reflectances,…

Optics · Physics 2021-09-15 Jeng Yi Lee , Pai-Yen Chen

We show that Parity-time symmetry in matching electric permittivity to magnetic permeability can be established by considering an effective Parity operator involving both mirror symmetry and coupling between electric and magnetic fields.…

Optics · Physics 2015-08-05 James Gear , Fu Liu , S. T. Chu , Stefan Rotter , Jensen Li

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

We show that parity-time (PT) symmetric Bragg periodic structures, near the spontaneous PT - symmetry breaking point, can act as unidirectional invisible media. In this regime, the re flection from one end is diminished while it is enhanced…

We show that non-linear optical structures involving a balanced gain-loss profile, can act as unidirectional optical valves. This is made possible by exploiting the interplay between the fundamental symmetries of parity (P) and time (T),…

We explore the absorption and scattering properties of one dimensional parity-time ($\mathcal{PT}$)-symmetric photonic crystal. In addition to the familiar transmittance and reflectance, we give the definition of the generalized absorptance…

Optics · Physics 2021-07-30 Tiecheng Wang

It is well known that unitary symmetries can be `gauged', i.e. defined to act in a local way, which leads to a corresponding gauge field. Gauging, for example, the charge conservation symmetry leads to electromagnetic gauge fields. It is an…

Strongly Correlated Electrons · Physics 2015-12-09 Xie Chen , Ashvin Vishwanath

We use supersymmetry transformations to design transparent and one-way reflectionless (thus unidirectionally invisible) complex crystals with balanced gain and loss profiles. The scattering coefficients are investigated using the transfer…

Optics · Physics 2014-03-14 Bikashkali Midya

Unidirectional reflectionless propagation (or transmission) is an interesting wave phenomenon observed in many $\mathcal{PT}$-symmetric optical structures. Theoretical studies on unidirectional reflectionless transmission often use simple…

Optics · Physics 2019-11-13 Lijun Yuan , Ya Yan Lu

We analyze the optical properties of one-dimensional (1D) PT-symmetric structures of arbitrary complexity. These structures violate normal unitarity (photon flux conservation) but are shown to satisfy generalized unitarity relations, which…

Optics · Physics 2015-06-03 Li Ge , Y. D. Chong , A. D. Stone

The concept of parity-time (PT) symmetry has been used to identify a novel route to nonreciprocal dynamics in optical momentum space, imposing the directionality on the flow of light. Whereas PT-symmetric potentials have been implemented…

Optics · Physics 2015-09-17 Sunkyu Yu , Xianji Piao , KyungWan Yoo , Jonghwa Shin , Namkyoo Park

Negative refraction plays an important role in acoustic wave manipulation and imaging. However, conventional systems based on acoustic metamaterials suffer from the limits induced by loss-related and resolution issues. In this work, a…

Applied Physics · Physics 2019-11-11 Jun Lan , Xiaowei Zhang , Liwei Wang , Yun Lai , Xiaozhou Liu

We study metric transformations including not just the field strength tensor of a $U(1)$ gauge field, but also its dual tensor. We first consider an arbitrary symmetric matrix built up with these two tensors in the metric transformation. It…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Antonio De Felice , Atsushi Naruko

In an effective medium description of acoustic metamaterials, the Willis coupling plays the same role as the bianisotropy in electromagnetism. Willis media can be described by a constitutive matrix composed of the classical effective bulk…

Despite its non-Hermitian nature, the transverse optical beam shift exhibits both real eigenvalues and non-orthogonal eigenstates. To explore this unexpected similarity to typical PT (parity-time)-symmetric systems, we first categorize the…

We propose that light can break mirror symmetries and combining symmetries with a uniform time translation, and their breaking is characterized by an off-diagonal charge conductivity. Taking periodically driven graphene as an example, we…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 Naoya Arakawa , Kenji Yonemitsu

We show that parity-time and partial parity-time symmetries are particular cases of antiunitary symmetry. This point is illustrated by means of a recently discussed system of non-Hermitian coupled harmonic oscillators that also exhibits…

Quantum Physics · Physics 2016-05-03 Francisco M. Fernández

The parity-time symmetry (PT symmetry) breaking phenomenon is investigated in a coupled nanobeam cavity system. An exceptional point is observed during the tuning of the relation of the gain/loss and coupling strength of the closely placed…

Optics · Physics 2015-12-01 Senlin Zhang , Zhengdong Yong , Yuguang Zhang , Sailing He

Parity-Time ($\mathcal{PT}$) symmetry has become an important concept in the design of synthetic optical materials, with exotic functionalities such as unidirectional transport and non-reciprocal reflection. At exceptional points, this…

Optics · Physics 2021-02-22 K. E. Ballantine , J. Ruostekoski
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