title: Continuous and discrete Schrödinger systems with parity-time-symmetric nonlinearities.
abstract: We investigate the dynamical behavior of continuous and discrete Schrödinger systems exhibiting parity-time (PT) invariant nonlinearities. We show that such equations behave in a fundamentally different fashion than their nonlinear Schrödinger counterparts. In particular, the PT-symmetric nonlinear Schrödinger equation can simultaneously support both bright and dark soliton solutions. In addition, we study a discretized version of this PT-nonlinear Schrödinger 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.
authors.affiliation: Department of Physics, Indian Institute of Technology Guwahati, Guwahati-781039, Assam, India.
authors.forename: Amarendra K
authors.initials: AK
authors.lastname: Sarma
authors.affiliation: CREOL/College of Optics, University of Central Florida, Orlando, Florida 32816, USA.
authors.forename: Mohammad-Ali
authors.initials: MA
authors.lastname: Miri
authors.affiliation: Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510, USA.
authors.forename: Ziad H
authors.initials: ZH
authors.lastname: Musslimani
authors.affiliation: CREOL/College of Optics, University of Central Florida, Orlando, Florida 32816, USA.
authors.forename: Demetrios N
authors.initials: DN
authors.lastname: Christodoulides
mesh_terms: D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*; D011789:Quantum Theory