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驱动耗散系统中的稳健三维高阶孤子与呼吸子:克尔腔实现

Robust Three-Dimensional High-Order Solitons and Breathers in Driven Dissipative Systems: A Kerr Cavity Realization.

作者信息

Sun Yifan, Parra-Rivas Pedro, Milián Carles, Kartashov Yaroslav V, Ferraro Mario, Mangini Fabio, Jauberteau Raphael, Talenti Francesco R, Wabnitz Stefan

机构信息

Department of Information Engineering, Electronics and Telecommunications, Sapienza University of Rome, Via Eudossiana 18, 00184 Rome, Italy.

Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, 46022 València, Spain.

出版信息

Phys Rev Lett. 2023 Sep 29;131(13):137201. doi: 10.1103/PhysRevLett.131.137201.

DOI:10.1103/PhysRevLett.131.137201
PMID:37832004
Abstract

We present a general approach to excite robust dissipative three-dimensional and high-order solitons and breathers in passively driven nonlinear cavities. Our findings are illustrated in the paradigmatic example provided by an optical Kerr cavity with diffraction and anomalous dispersion, with the addition of an attractive three-dimensional parabolic potential. The potential breaks the translational symmetry along all directions, and impacts the system in a qualitatively unexpected manner: three-dimensional solitons, or light bullets, are the only existing and stable states for a given set of parameters. This property is extremely rare, if not unknown, in passive nonlinear systems. As a result, the excitation of the cavity with any input field leads to the deterministic formation of a target soliton or breather, with a spatiotemporal profile that unambiguously corresponds to the given cavity and pumping conditions. In addition, the tuning of the potential width along the temporal direction results in the existence of a plethora of stable asymmetric solitons. Our results may provide a solid route toward the observation of dissipative light bullets and three-dimensional breathers.

摘要

我们提出了一种在被动驱动的非线性腔中激发稳健的耗散三维高阶孤子和呼吸子的通用方法。我们的研究结果在具有衍射和反常色散的光学克尔腔,并添加了吸引性三维抛物线势的典型示例中得到了说明。该势打破了沿所有方向的平移对称性,并以一种定性上意想不到的方式影响系统:对于给定的一组参数,三维孤子或光子弹是唯一存在且稳定的状态。这种特性在被动非线性系统中极为罕见,甚至可以说是未知的。因此,用任何输入场激发腔都会导致确定性地形成目标孤子或呼吸子,其时空分布明确对应于给定的腔和泵浦条件。此外,沿时间方向调整势宽度会导致存在大量稳定的非对称孤子。我们的结果可能为观察耗散光子弹和三维呼吸子提供一条坚实的途径。

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