We give a simplified account of the properties of the transfer matrix for a complex one-dimensional potential, paying special attention to the particular instance of unidirectional invisibility. In appropriate variables, invisible potentials appear as performing null rotations, which lead to the helicity-gauge symmetry of massless particles. In hyperbolic geometry, this can be interpreted, via ...

Hamidreza Ramezani,1 Tsampikos Kottos,1,2 Vassilios Kovanis,3 and Demetrios N. Christodoulides4 1Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA 2MPI for Dynamics and Self-Organization, Bunsenstraße 10, D-37073 Göttingen, Germany 3Air Force Research Laboratory, Sensors Directorate, Wright Patterson Air Force Base, Ohio 45433, USA 4College of Optics & Photonics-CRE...

The scattering properties of randomly layered optical media with PT -symmetric index of refraction are studied using the transfer-matrix method. We find that the transmission coefficient decays exponentially as a function of the system size, with an enhanced rate ξγ(W ) −1 = ξ0(W ) +ξγ(0) −1, where ξ0(W ) is the localization length of the equivalent passive random medium and ξγ(0) is the attenu...

Abstract The photonic spin Hall effect (PSHE), featured by a spin-dependent shift driven its polarization handedness, is proposed to facilitate the applications in precision metrology and quantum information processing. Here, due magnetoelectric coupling of chirality, PSHE accompanied with Goos–Hänchen Imbert–Fedorov effects. Taking advantage this superiority, transverse (TS) longitudinal (LS) ...

The relevance of PT symmetry to quantum chromodynamics (QCD), the gauge theory of the strong interactions, is explored in the context of finite temperature and density. Two significant problems in QCD are studied: the sign problem of finite-density QCD, and the problem of confinement. It is proven that the effective action for heavy quarks at finite density is PT -symmetric. For the case of 1+1...

Any non-Hermitian PT −symmetric quantum Hamiltonian H remains physical in a domain of parameters D where the spectrum is real and, hence, measurable. It has been conjectured and verified, recently, that the postulate of a self-duality of the spectrum Ej = −EN+1−j could simplify the structure of the manifold D. An independent constructive support of the plausibility of such a relationship is giv...

We consider a class of PT -symmetric systems which include mutually matched nonlinear loss and gain (in other words, a class of PT -invariant Hamiltonians in which both the harmonic and anharmonic parts are non-Hermitian). For a basic system in the form of a dimer, symmetric and asymmetric eigenstates, including multistable ones, are found analytically. We demonstrate that, if coupled to a line...