Nonlinear waves in PT -symmetric systems

The concept of parity-time symmetric systems is rooted in non-Hermitian quantum mechanics where complex potentials obeying this symmetry could exhibit real spectra. The concept has applications in many fields of physics, e.g., in optics, metamaterials, acoustics, Bose-Einstein condensation, electronic circuitry, etc. The inclusion of nonlinearity has led to a number of new phenomena for which no counterparts exist in traditional dissipative systems. Several examples of nonlinear parity-time symmetric systems in different physical disciplines are presented and their implications discussed.

• NS
  National Science Foundation

  Award: DMS-1311730
• FP
  Fundação para a Ciência e a Tecnologia

  Award: PTDC/FIS-OPT/1918/2012
• AF
  Air Force Office of Scientific Research

  Award: USAF 9550-12-1-0244