Stability of optical solitons in parity-time-symmetric optical lattices with competing cubic and quintic nonlinearities

Ge, Lijuan; Shen, Ming; Zang, Taocheng; Ma, Chunlan; Lu, Dai

doi:10.1103/physreve.91.023203

Cited by 28 publications

(7 citation statements)

References 48 publications

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“…The PT symmetric potential requires a complex conjugation, which means that the refractive index and gain-loss (corresponding to the real and imaginary parts of the PT symmetric potential) distributions in an optical medium with PT symmetry are even and odd [4], respectively. This structure can be obtained by setting a special distribution of the refractive index and gain-loss in the medium, which has led to a lot of novel physical phenomena and applications [3][4][5][6][7][8] * Author to whom any correspondence should be addressed. in linear and nonlinear optics regions.…”

Section: Introductionmentioning

confidence: 99%

“…in linear and nonlinear optics regions. In particular, numerous studies have been conducted on nonlinear materials with PT symmetries such as the soliton solution and stability in a Gaussian potential [5], the control of soliton in nonlinear medium with a PT symmetric potential [6][7][8]. However, these works mainly focus on the scalar beam with uniform polarization.…”

Section: Introductionmentioning

confidence: 99%

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Propagation dynamics of vector vortex beams in a strongly nonlocal nonlinear medium with parity-time-symmetric potentials

Yao¹,

Chew²,

Wu³

et al. 2022

J. Opt.

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We demonstrate the dynamical properties of a vector vortex optical field (VVOF) in a strongly nonlocal nonlinear medium (SNNM) with sine and cosine parity-time-symmetric potentials (SCPT) by using the coupled vector Snyder-Mitchell model. Our study shows that the shape of the optical field is chaotically distorted in different propagation distances due to the modulation of complex refractive index. Despite the distorted optical field, the VVOF reciprocally evolves in a periodic stretch and shrink behavior during propagation in the SNNM-SCPT. The reciprocal conversions between the linear and circular polarizations periodically occur during propagation. The evolution of VVOF and the linear and circular polarization conversions are strongly dependent on the modulation of the complex refractive index, the initial powers and the vortex topological charge numbers. These results can provide a new way to complexly manipulate the VVOF in a SNNM-SCPT.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Propagation dynamics of vector vortex beams in a strongly nonlocal nonlinear medium with parity-time-symmetric potentials

Yao¹,

Chew²,

Wu³

et al. 2022

J. Opt.

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“…The MI of waves in the PT -symmetric nonlinear Schrödinger (NLS) equation has been widely studied too [51,[72][73][74][75][76][77]. As an extension of the studies in this direction, constant-amplitude (CA) waves have recently been addressed in models with more general complex potentials [78].…”

Section: Introductionmentioning

confidence: 99%

Effects of the third-order dispersion on continuous waves in complex potentials

Liu

Malomed

2017

Eur. Phys. J. D

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A class of constant-amplitude (CA) solutions of the nonlinear Schrödinger equation with the third-order spatial dispersion (TOD) and complex potentials are considered. The system can be implemented in specially designed planar nonlinear optical waveguides carrying a distribution of local gain and loss elements, in a combination with a photonic-crystal structure. The complex potential is built as a solution of the inverse problem, which predicts the potential supporting a required phase-gradient structure of the CA state. It is shown that the diffraction of truncated CA states with a correct phase structure can be strongly suppressed. The main subject of the analysis is the modulational instability (MI) of the CA states. The results show that the TOD term tends to attenuate the MI. In particular, simulations demonstrate a phenomenon of weak stability, which occurs when the linear-stability analysis predicts small values of the MI growth rate. The stability of the zero state, which is a nontrivial issue in the framework of the present model, is studied too.

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“…[14,15] Desyatnikov et al and Ge found STSs in an optical media with higher order nonlinearities. [16,17] Mihalache et al obtained stable spinning STSs by tuning the focusing and defocusing nonlinearities. [18] Zhang et al revealed that 3D solitons can stably exist in atomic systems with spinorbit coupling interactions.…”

mentioning

confidence: 99%

Vector Spatiotemporal Solitons and Their Memory Features in Cold Rydberg Gases

Zhao¹,

Lei²,

Xu³

et al. 2022

Chinese Phys. Lett.

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We propose a scheme to generate stable vector spatiotemporal solitons through a Rydberg electromagnetically induced transparency (Rydberg-EIT) system. Three-dimensional vector monopole and vortex solitons have been found under three nonlocal degrees. The numerical calculation and analytical solutions indicate that these solitons are generated with low energy and can stably propagate along the axes. The behavior of vector spatiotemporal solitons can be manipulated by the local and nonlocal nonlinearities. The results show a memory feature as these solitons can be stored and retrieved effectively by tuning the control field.

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Stability of optical solitons in parity-time-symmetric optical lattices with competing cubic and quintic nonlinearities

Cited by 28 publications

References 48 publications

Propagation dynamics of vector vortex beams in a strongly nonlocal nonlinear medium with parity-time-symmetric potentials

Propagation dynamics of vector vortex beams in a strongly nonlocal nonlinear medium with parity-time-symmetric potentials

Effects of the third-order dispersion on continuous waves in complex potentials

Vector Spatiotemporal Solitons and Their Memory Features in Cold Rydberg Gases

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