Controlling the stability of nonlinear optical modes via electromagnetically induced transparency

Zhang, Kun; Liang, Yi-zeng; Lin, Ji; Li, Huijun

doi:10.1103/physreva.97.023844

Cited by 14 publications

(5 citation statements)

References 41 publications

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“…The results of SNLSE have been well reported [31][32][33][34][35][36][37]. And its analytical solitons [38], dark solitons [39], and spatial solitons [40] have been reported. However, rogue wave solutions for SNLSE have not been reported.…”

Section: Introductionmentioning

confidence: 90%

Exciting rogue waves, breathers, and solitons in coherent atomic media

Li¹,

Li²,

Li³

2020

Commun. Theor. Phys.

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We propose a scheme that excites rogue waves via electromagnetically induced transparency (EIT), which can also excite breathers and solitons. The system is a resonant Λ-type atomic ensemble. Under EIT conditions, the envelope equation of the probe field can be reduced to several different models, such as the saturable nonlinear Schrödinger equation (SNLSE), and SNLSE with the trapping potential provided by a far-detuned laser field or a magnetic field. In this scheme, rogue waves can be generated by different initial pulses, such as the Gaussian wave with (or without) the uniform background. The scheme can be used to obtain rogue waves, breathers and solitons. We show the existence regions of rogue waves, breathers, and solitons as the function of the amplitude and width of the initial pulse. The novelty of our paper is that, we not only show rogue waves in the integrable system numerically, but also present the method to generate and control rogue waves in the non-integrable system.

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Section: Introductionmentioning

confidence: 90%

Exciting rogue waves, breathers, and solitons in coherent atomic media

Li¹,

Li²,

Li³

2020

Commun. Theor. Phys.

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“…In general, we consider that the probe field is weaker than control field, and the Stark and Zeeman energy shifts are smaller than the detuning ∆ j . After some simple calculations, and neglecting the higher-order terms, Equation ( 3) is reduced into the (2 + 1) D equation with the saturable nonlinearity and trapping potential [54].…”

Section: Modelmentioning

confidence: 99%

“…The imaginary part of c i /σ i (i = 1, 2, 3, 4) can be ignored because it is much smaller than its real part, and the dimensionless evolution equation of the probe field is obtained [54].…”

Section: Modelmentioning

confidence: 99%

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Generation and Controllability of High-Dimensional Rogue Waves in an Electromagnetically Induced Transparent Medium

Lin

2023

Mathematics

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We propose a scheme to generate and control high-dimensional rogue waves in a coherent three-level Λ-type atomic system via electromagnetically induced transparency (EIT). Under EIT conditions, the probe field envelopes obey the non-integrable nonlinear Schrödinger equations (NLSE) with or without the external potential, which result from the stark (Zeeman) effect contributed by an electric (magnetic) field. By adjusting the amplitude and width of the initial pulse, we can generate the high-dimensional rogue waves and obtain the phase-transition curves of high-dimensional rogue waves. In the system, the far-detuned electric field, the random weak magnetic field, and the Gauss weak magnetic field are not conducive to the excitation of high-dimensional rogue waves. The results not only provide a theoretical basis for the experimental realization or prevention of the high-dimensional rogue waves, but also prove the possibility of generating and controlling the rogue waves in other high-dimensional non-integrable systems.

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“…Electromagnetically induced transparency (EIT) is a unique quantum interference in coherent atomic ensembles with multilevel electronic structures, where a strong control (light) field dresses the field-coupled states and then a weak probe * zengjh@opt.ac.cn field cannot feel the absorption, leading to the cancellation of strong absorption completely in the induced transparency's spectral region and thus making the atomic medium transparent [24]. Interesting properties and promising futuristic applications that are closely associated with the EIT in an alloptical way include (but are not limited to) coherent population trapping, greatly enhanced nonlinear susceptibility, steep dispersion, slow and fast light, shape-stable coupled excitations of light and matter (the so-called dark-state polaritons), light storage (including nonlinear wave localization), communications and computations in both classic and quantum regimes [25][26][27][28][29][30][31][32][33][34][35][36][37][38]. Particularly worth mentioning is the fact that, the EIGs with tunable optical properties (lattice depth, periodicity, structural arrangement, etc.)…”

Section: Introductionmentioning

confidence: 99%

Electromagnetically induced moiré optical lattices in a coherent atomic gas

Chen,

Liu,

Zeng

2022

Preprint

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Electromagnetically induced optical (or photonic) lattices via atomic coherence in atomic ensembles have recently received great theoretical and experimental interest. We here conceive a way to generate electromagnetically induced moiré optical lattices-a twisted periodic pattern when two identical periodic patterns (lattices) are overlapped in a twisted angle (θ)-in a three-level coherent atomic gas working under electromagnetically induced transparency. We show that, changing the twisted angle and relative strength between the two constitutive sublattices, the moiré Bloch bands that are extremely flattened can always appear, resembling the typical flat-band and moiré physics found in other contexts. Dynamics of light propagation in the induced periodic structures demonstrating the unique linear localization and delocalization properties are also revealed. Our scheme can be implemented in a Rubidium atomic medium, where the predicted moiré optical lattices and flattened bands are naturally observable.

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Controlling the stability of nonlinear optical modes via electromagnetically induced transparency

Cited by 14 publications

References 41 publications

Exciting rogue waves, breathers, and solitons in coherent atomic media

Exciting rogue waves, breathers, and solitons in coherent atomic media

Generation and Controllability of High-Dimensional Rogue Waves in an Electromagnetically Induced Transparent Medium

Electromagnetically induced moiré optical lattices in a coherent atomic gas

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