Abbreviated Journal Title
Phys. Rev. E
Keywords
NON-HERMITIAN HAMILTONIANS; SOLITONS; LATTICES; OPTICS; Physics, Fluids & Plasmas; Physics, Mathematical
Abstract
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.
Journal Title
Physical Review E
Volume
89
Issue/Number
5
Publication Date
1-1-2014
Document Type
Article
Language
English
First Page
7
WOS Identifier
ISSN
1539-3755
Recommended Citation
Sarma, Amarendra K.; Miri, Mohammad-Ali; Musslimani, Ziad H.; and Christodoulides, Demetrios N., "Continuous and discrete Schrodinger systems with parity-time-symmetric nonlinearities" (2014). Faculty Bibliography 2010s. 6045.
https://stars.library.ucf.edu/facultybib2010/6045
Comments
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