Recent progress on nonlinear properties of parity-time (PT)-symmetric systems is
comprehensively reviewed in this article. PT symmetry started out in non-Hermitian quantum …

One of the challenges of the modern photonics is to develop all‐optical devices enabling
increased speed and energy efficiency for transmitting and processing information on an …

This chapter introduces the basic ideas of P T-symmetric systems. It begins with a brief
discussion of closed (isolated) and open (non-isolated) systems and explains that P T …

It is generally assumed that a Hamiltonian for a physically acceptable quantum system (one
that has a positive-definite spectrum and obeys the requirement of unitarity) must be …

We introduce an optical system (a coupler) obeying parity-time (PT) symmetry with odd-time
reversal, T 2=-1. It is implemented with two birefringent waveguides embedded in an anti-PT …

We introduce a 2D network built of 𝒫𝒯-symmetric dimers with on-site cubic nonlinearity, the
gain and loss elements of the dimers being linked by parallel square-shaped lattices. The …

We introduce the simplest one-dimensional nonlinear model with parity-time (PT) symmetry,
which makes it possible to find exact analytical solutions for localized modes (“solitons”) …

We consider nonlinear dynamics in a finite parity-time-symmetric chain of the discrete
nonlinear Schrödinger (dNLS) type. For arbitrary values of the gain and loss parameter, we …

In the present work, we focus on the cases of two-site (dimer) and three-site (trimer)
configurations, ie oligomers, respecting the parity-time () symmetry, ie with a spatially odd …

The scattering of kinks and low-frequency breathers of the nonlinear sine-Gordon (SG)
equation on a spatially localized parity-time-symmetric perturbation (defect) with a balanced …