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Understanding which physical processes are symmetric with respect to time inversion is a ubiquitous problem in physics. In quantum physics, effective gauge fields allow emulation of matter under strong magnetic fields, realizing the…

Quantum Physics · Physics 2021-05-25 Jacob Biamonte , Jacob Turner

We present a theoretical study of a novel polarization beam splitter (PBS), different to conventional time-reversal symmetry one, where can be totally reflected at two opposite sides with one specific linearly polarized light incident and…

Optics · Physics 2024-02-29 Jeng Yi Lee

Wave reflection by non-Hermitian antisymmetric parity-time (APT) photonics made of a balanced positive index material (PIM) and negative index material (NIM) is investigated. As one class of them satisfies a unitary relation, wave impedance…

Optics · Physics 2026-05-28 Jeng Yi Lee , Chia-Heng Sun , Ke-Hsiang Huang , Pai-Yen Chen

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 study a parity-time (PT) symmetric ring lattice, with one pair of balanced gain and loss located at opposite positions. The system remains PT-symmetric when threaded by a magnetic flux; however, the PT symmetry is sensitive to the…

Quantum Physics · Physics 2016-06-14 L. Jin , Z. Song

Unidirectional reflectionlessness is investigated in a waveguide quantum electrodynamics system that consists of a cavity and a $\Lambda$-type three-level quantum dot coupled to a one-dimensional plasmonic waveguide. Analytical expressions…

Quantum Physics · Physics 2022-07-13 De-Xiu Qiu , Fude Li , K. Xue , X. X. Yi

Parity-time (PT) symmetry in non-Hermitian optical systems promises distinct optical effects and applications not found in conservative optics. Its counterpart, anti-PT symmetry, subscribes another class of intriguing optical phenomena and…

Optics · Physics 2020-03-26 Heng Fan , Jiayang Chen , Zitong Zhao , Jianming Wen , Yuping Huang

In time reversal symmetric systems with half integral spins (or more concretely, systems with an antiunitary symmetry that squares to -1 and commutes with the Hamiltonian) the transmission eigenvalues of the scattering matrix come in pairs.…

Mesoscale and Nanoscale Physics · Physics 2008-09-23 J. H. Bardarson

We formulate gaussian and circular random-matrix models representing a coupled system consisting of an absorbing and an amplifying resonator, which are mutually related by a generalized time-reversal symmetry. Motivated by optical…

Quantum Physics · Physics 2012-12-21 Christopher Birchall , Henning Schomerus

Parity-Time (PT) symmetric optical structures exhibit several unique and interesting characteristics with the most popular being exceptional points. While the emerging concept of PT-symmetry has been extensively investigated in bulky…

Optics · Physics 2023-01-24 Andrew Butler , Christos Argyropoulos

We study the diffraction produced by a slab of purely reflective PT-symmetric volume Bragg grating that combines modulations of refractive index and gain/loss of the same periodicity with a quarter-period shift between them. Such a complex…

Optics · Physics 2023-07-19 Mykola Kulishov , H. F. Jones , Bernard Kress

The scattering matrix $S$ obeys the unitary relation $S^\dagger S=1$ in a Hermitian system and the symmetry property ${\cal PT}S{\cal PT}=S^{-1}$ in a Parity-Time (${\cal PT}$) symmetric system. Here we report a different symmetry relation…

Optics · Physics 2016-10-25 Li Ge , Liang Feng

Harnessing parity-time (PT) symmetry with balanced gain and loss profiles has created a variety of opportunities in electronics from wireless energy transfer to telemetry sensing and topological defect engineering. However, existing…

Applied Physics · Physics 2022-07-26 Weidong Cao , Changqing Wang , Weijian Chen , Song Hu , Hua Wang , Lan Yang , Xuan Zhang

While parity transformation represents a fundamental symmetry operation in physics, its implications remain underexplored in metamaterial science. Here, we introduce a framework leveraging parity transformation to construct parity-inverted…

Materials Science · Physics 2025-03-25 Jinjie Shi , Hongchen Chu , Aurelien Merkel , Chenkai Liu , Johan Christensen , Xiaozhou Liu , Yun Lai

In the past decade, the concept of parity-time ($\mathcal{PT}$) symmetry, originally introduced in non-Hermitian extensions of quantum mechanical theories, has come into thinking of photonics, providing a fertile ground for studying,…

Optics · Physics 2018-02-15 Stefano Longhi

Temporal interfaces introduced by abrupt switching of the constitutive parameters of unbounded media enable unusual wave phenomena. So far, their explorations have been mostly limited to lossless media. Yet, non-Hermitian phenomena…

Optics · Physics 2021-10-08 Huanan Li , Shixiong Yin , Emanuele Galiffi , Andrea Alù

In this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substitutions. The symmetry considered is reflection through the origin. Given an unimodular irreducible Pisot substitution, we consider the…

Dynamical Systems · Mathematics 2015-02-26 Tarek Sellami , Víctor F. Sirvent

Multi-dimensional complex optical potentials with partial parity-time (PT) symmetry are proposed. The usual PT symmetry requires that the potential is invariant under complex conjugation and simultaneous reflection in all spatial…

Pattern Formation and Solitons · Physics 2015-06-18 Jianke Yang

We study how to understand the complex coordinates involved in the non-Hermitian but PT-symmetric systems. We explore a PT-symmetric oscillator model to show that the entire information on the complex position is attainable. Its real part…

Quantum Physics · Physics 2015-09-21 Jin-Ho Cho

The phenomenon of half-spectral unidirectional invisibility is introduced for one-dimensional periodic optical structures with tailored real and imaginary refractive index distributions in a non-$\mathcal{PT}$-symmetric configuration. The…

Optics · Physics 2016-01-15 Stefano Longhi