Mohammad-Ali Miri,1,* Alois Regensburger,2,3 Ulf Peschel,2 and Demetrios N. Christodoulides1 1CREOL/College of Optics, University of Central Florida, Orlando, Florida 32816, USA 2Institute of Optics, Information and Photonics, University of Erlangen-Nuernberg, 91058 Erlangen, Germany 3Max Planck Institute for the Science of Light, 91058 Erlangen, Germany (Received 7 June 2012; published 3 Augus...

In this work we intend to study a class of time-dependent quantum systems with nonHermitian Hamiltonians, particularly those whose Hermitian counterpart are important for the comprehension of posed problems in quantum optics and quantum chemistry, which consists of an oscillator with time-dependent mass and frequency under the action of a time-dependent imaginary potential. We obtain the propag...

Suitable complexification of the well known hyperbolic Rosen Morse oscillator in one dimension is shown to give the fourth (and last?) exactly solvable model which combines the shape and PT invariance. PACS 03.65.Ge, 03.65.Fd Review paper [1] emphasizes that a requirement of the so called shape invariance (with respect to the translation of a parameter) determines all the four known exactly sol...

A method of Parity-Time (PT)-symmetry analysis is introduced to study the high dimensional, complicated parameter space drift wave instabilities. We show that spontaneous PT-symmetry breaking leads Ion Temperature Gradient (ITG) instability waves, and collisional result explicit breaking. new unstable induced by finite collisionality identified. It also found gradients ion temperature density c...

One of the simplest pseudo-Hermitian models with real spectrum (viz., square-well on a real interval I of coordinates) is re-examined. A PT −symmetric complex deformation C of I is introduced and shown tractable via an innovated approach to matching conditions. The result is surprising: an arbitrarily small deformation I → C implies a sudden collapse (i.e., the spontaneous PT −symmetry breaking...

Relativistic massive bosons with spin one are considered in several quantization schemes. In all of them the system is shown described by a non-Hermitian Hamiltonian H 6= H and helicity operator Λ. Constructively we show that in all of the contemplated schemes both these operators H and Λ prove simultaneously PT −symmetric, i.e., pseudo-Hermitian with respect to a certain not too complicated in...

Abstract In this work, we study the non-Hermitian Swanson Hamiltonian, particularly non-parity-time symmetry phase. We use formalism of Gel’fand triplet to construct generalized eigenfunctions and corresponding spectrum. Depending on region parameter model space, show that Hamiltonian represents different physical systems, i.e. parabolic barrier, negative mass oscillators. also discussed presen...