Nonlinear waves in PT -symmetric systems

By Vladimir V. Konotop, Jianke Yang, Dmitry A. Zezyulin. 2016

935 citations recorded by the source corpus.

The concept of parity-time symmetric systems is rooted in non-Hermitian quantum mechanics where complex potentials obeying this symmetry could exhibit real spectra. The concept has applications in many fields of physics, e.g., in optics, metamaterials, acoustics, Bose-Einstein condensation, electronic circuitry, etc. The inclusion of nonlinearity has led to a number of new phenomena for which no counterparts exist in traditional dissipative systems. Several examples of nonlinear parity-time symmetric systems in different physical disciplines are presented and their implications discussed.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3722c800695580726b4b4a454e329c7688e7708e

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions (2016, background): “orm as a balance between dispersion and nonlinearity. They have been theoretically predicted and observed in laboratory experiments in various settings in the physical and optical sciences (see [29], [30], [41] for extensive reviews). In ﬂuid mechanics, they have been shown to appear as isolated hum”
Symmetry and Topology in Non-Hermitian Physics (2018, background): “In fact, non-Hermiticity is ubiquitous in nature: it appears in nonequilibrium open systems with gain and/or loss [2–6] and correlated electron systems as a result of finite-lifetime quasiparticles [7–12].”
General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions (2017, background): “em [18]. It is parity-time (PT) symmetric, i.e., it is invariant under the joint transformations of x ! x, t !t and complex conjugation, thus is related to a hot research area of contemporary physics [19, 20]. Due to this potential application, it has been shown that different symmetry reductions fr”
Higher-order non-Hermitian skin effect (2020, background): “In general, nonHermiticity arises from nonconservation of energy or particles and ubiquitously appears, for example, in nonequilibrium open systems [31, 32].”
Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data (2021, background): “it is parity-time (PT) symmetric and, therefore, is related to a cutting edge research area of modern physics [8, 28].”
Integrable Nonlocal Nonlinear Equations (2016, background): “We point out thatPT symmetric systems, which allow for lossless-like propagation due to their bala nce of gain and loss [16, 17], have attracted considerable attention in recent years – see [18] and references therein for an extensive review on linear and nonlinear waves in PT symmetric systems.”