Continuous and discrete Schrodinger systems with parity-time-symmetric nonlinearities
Abbreviated Journal Title
Phys. Rev. E
NON-HERMITIAN HAMILTONIANS; SOLITONS; LATTICES; OPTICS; Physics, Fluids & Plasmas; Physics, Mathematical
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 discretized version of this PT-nonlinear Schrodinger equation on a lattice. When only two elements are involved, 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.
Physical Review E
"Continuous and discrete Schrodinger systems with parity-time-symmetric nonlinearities" (2014). Faculty Bibliography 2010s. 6045.