All-real spectra in optical systems with arbitrary gain-and-loss distributions

2015/12/22 by Sean Nixon, Jianke Yang · 4 citations
Mathematics · Physics and Astronomy · #Complex conjugate #Distribution (mathematics) #Eigenvalues and eigenvectors #Mathematical analysis #Mathematics #Optics #Parity (physics) #Photorefractive and Nonlinear Optics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Refractive index #Spectral line #Spectrum (functional analysis) #Statistical physics #physics.optics

paper · pdf · doi:10.1103/physreva.93.031802

5 pages, 3 figures

arxiv created 2015/12/22 · openalex publication_date 2016/03/09 · arxiv updated 2016/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

A general method to obtain complex potentials presenting all-real spectra, but without the need of parity-time (PT) symmetry, is proposed. By relaxing the stringent restriction set by PT symmetry, this study paves the way to new developments in non-Hermitian optics.

Citations

• Nonlinear dynamics of wave packets in parity-time-symmetric optical lattices near the phase transition point
• Pseudo-Hermitian Representation of Quantum Mechanics

Cited by

• Rotation-time symmetry in bosonic systems and the existence of exceptional points in the absence of \mathscrPT symmetry
• Self-acceleration in non-Hermitian systems
• Construction of potentials with multiple spectral singularities
• Wave propagation through disordered media without backscattering and intensity variations