2013/10/31 by Amarendra K. Sarma, Mohammad-Ali Miri, Ziad H. Musslimani +1 · 1 citation
Physics and Astronomy · #nlin.PS
paper · pdf · doi:10.1103/physreve.89.052918
published as Phys. Rev. E 89, 052918, 2014
arxiv created 2014/06/01 · arxiv updated 2014/06/03
We investigate the dynamical behavior of continuous and discrete Schrodinger systems exhibiting parity-time (PT) invariant nonlinearities. We show that such equations behave in a fundamentally different fashion than their nonlinear Schrodinger counterparts. In particular, the PT-symmetric nonlinear Schrodinger equation can simultaneously support both bright and dark soliton solutions. In addition, we study a two-element discretized version of this PT nonlinear Schrödinger equation. By obtaining the underlying invariants, we show that this system is fully integrable and we identify the PT-symmetry breaking conditions. This arrangement is unique in the sense that the exceptional points are fully dictated by the nonlinearity itself.