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Recent progress on nonlinear properties of parity-time ($\cal PT$-) symmetric systems is comprehensively reviewed in this article. $\cal PT$ symmetry started out in non-Hermitian quantum mechanics, where complex potentials obeying $\cal PT$…

斑图形成与孤子 · 物理学 2016-07-20 Vladimir V. Konotop , Jianke Yang , Dmitry A. Zezyulin

The discovery of topological phases in non-Hermitian open classical and quantum systems challenges our current understanding of topological order. Non-Hermitian systems exhibit unique features with no counterparts in topological Hermitian…

介观与纳米尺度物理 · 物理学 2019-06-26 Stefano Longhi

We develop relativistic non-Hermitian quantum theory and its application to neutrino physics in a strong magnetic field. It is well known, that one of the fundamental postulates of quantum theory is the requirement of Hermiticity of…

高能物理 - 唯象学 · 物理学 2016-03-25 V. N. Rodionov

Over the past decade, parity-time ($\mathcal{PT}$)-symmetric Hamiltonians have been experimentally realized in classical, optical settings with balanced gain and loss, or in quantum systems with localized loss. In both realizations, the…

光学 · 物理学 2018-07-30 Yogesh N. Joglekar , Andrew K. Harter

The Hartman effect refers to the rather paradoxical result that the time spent by a quantum mechanical particle or a photon to tunnel through an opaque potential barrier becomes independent of barrier width for long barriers. Such an…

量子物理 · 物理学 2022-10-19 Stefano Longhi

We consider the scattering problem for an asymmetric composite photonic structure with a component experiencing a thermally driven phase transition. Using a numerical example, we show that if the heating is caused by the incident light, the…

应用物理 · 物理学 2019-02-27 N. Antonellis , R. Thomas , M. A. Kats , I. Vitebskiy , T. Kottos

This paper presents a detailed study of the scattering polarization profiles formed under partial frequency redistribution (PRD) in two thermal models of the solar atmosphere. Particular attention is given to understanding the influence of…

太阳与恒星天体物理 · 物理学 2010-10-12 M. Sampoorna , J. Trujillo Bueno , E. Landi Degl'Innocenti

The explicit dispersion equation for a one-dimensional periodic structure with alternative layers of left-handed material (LHM) and right-handed material (RHM) is given and analyzed. Some abnormal phenomena such as spurious modes with…

材料科学 · 物理学 2007-05-23 Liang Wu , Sailing He , Linfang Shen

We investigate spectral properties of quantum graphs in the form of a periodic chain of rings with a connecting link between each adjacent pair, assuming that wave functions at the vertices are matched through conditions manifestly…

数学物理 · 物理学 2022-07-12 Marzieh Baradaran , Pavel Exner , Milos Tater

Robust topological edge modes may evolve into complex-frequency modes when a physical system becomes non-Hermitian. We show that, while having negligible forward optical extinction cross section, a conjugate pair of such complex topological…

介观与纳米尺度物理 · 物理学 2016-12-02 C. W. Ling , Ka Hei Choi , T. C. Mok , Z. Q. Zhang , Kin Hung Fung

The phenomenon of PT (parity- and time-reversal) symmetry breaking is conventionally associated with a change in the complex mode spectrum of a non-Hermitian system that marks a transition from a purely oscillatory to an exponentially…

Conventional femtosecond coherent laser spectroscopy predominantly focuses on the temporal phase coherence through time- or frequency-resolved methods. In this work, we suggest an alternative experimental framework based on spatial phase…

One-dimensional scattering mediated by non-Hermitian Hamiltonians is studied. A schematic set of models is used which simulate two point interactions at a variable strength and distance. The feasibility of the exact construction of the…

量子物理 · 物理学 2008-06-26 Miloslav Znojil

Coherent backscattering is a coherence effect in the propagation of waves through disordered media involving two or more scattering events. Here, we report on the observation of coherent backscattering from individual atoms and their mirror…

Here the role and influence of aberrations in optical imaging systems employing partially coherent complex scalar fields is studied. Imaging systems require aberrations to yield contrast in the output image. For linear shift-invariant…

光学 · 物理学 2015-06-30 Mario A. Beltran , Marcus J. Kitchen , T. Petersen , David M. Paganin

Synthetic nonconservative systems with parity-time (PT) symmetric gain-loss structures can exhibit unusual spontaneous symmetry breaking that accompanies spectral singularity. Recent studies on PT symmetry in optics and weakly interacting…

统计力学 · 物理学 2017-06-12 Yuto Ashida , Shunsuke Furukawa , Masahito Ueda

The quantum harmonic oscillator with parity-time ($\mathcal{PT}$) symmetry, obtained from the ordinary (Hermitian) quantum harmonic oscillator by an imaginary displacement of the spatial coordinate, provides an important and…

量子物理 · 物理学 2016-11-23 Stefano Longhi

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…

斑图形成与孤子 · 物理学 2015-06-18 Jianke Yang

We study the effect of PT-symmetric complex potentials on the transport properties of non-Hermitian systems, which consist of an infinite linear chain and two side-coupled defect points with PT-symmetric complex on-site potentials. By…

量子物理 · 物理学 2015-05-01 Baogang Zhu , Rong Lü , Shu Chen

Non-Hermitian models with real eigenenergies are highly desirable for their stability. Yet, most of the currently known ones are constrained by symmetries such as PT-symmetry, which is incompatible with realizing some of the most exotic…

介观与纳米尺度物理 · 物理学 2022-07-13 Boxue Zhang , Qingya Li , Xiao Zhang , Ching Hua Lee