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arXiv · 1310.7399

Continuous and discrete Schrodinger systems with PT-symmetric nonlinearities

Amarendra K. Sarma·Mohammad-Ali Miri·Ziad H. Musslimani·Demetrios N. Christodoulides
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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 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.

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Amarendra K. Sarma, Mohammad-Ali Miri, Ziad H. Musslimani, Demetrios N. Christodoulides. 2014-06-01. Continuous and discrete Schrodinger systems with PT-symmetric nonlinearities. https://doi.org/10.1103/physreve.89.052918

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