非局域介质中快速孤子压缩的绝热捷径
Shortcuts to adiabaticity for rapid soliton compression in nonlocal media
- Shanghai University（上海大学）
- University of the Basque Country UPV/EHU（巴斯克大学）
- Quantum Advanced Research Center (QuARC), CSIC（CSIC量子先进研究中心）
- Instituto de Ciencia de Materiales de Madrid (ICMM), CSIC（CSIC马德里材料科学研究所）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文通过变分近似和逆向工程设计三种控制策略，在非局域介质中实现快速高保真孤子压缩，并揭示平滑性与精度间的权衡。
AI中文摘要：
我们研究了非局域介质中光学孤子快速压缩的绝热捷径协议。利用变分近似，我们推导出孤子宽度的有效Ermakov类方程，并采用逆向工程来设计依赖于传播的控制参数。我们比较了三种控制策略，分别基于特征非局域长度、Kerr非线性和外部抛物面限制的调制。我们表明，所有三种协议都能在显著缩短的传播距离上实现高保真度压缩。通过比较控制的平滑性和最终保真度，我们发现，在极短距离范围内，协议的相对性能取决于所选标准，揭示了实现平滑性与目标轮廓精度之间的权衡。这些结果为非局域介质中快速孤子操控建立了一条实用且通用的途径。
英文摘要：
We investigate shortcut-to-adiabaticity protocols for the rapid compression of optical solitons in nonlocal media. Using a variational approximation, we derive an effective Ermakov-like equation for the soliton width and employ inverse engineering to design propagation-dependent control parameters. Three control strategies are compared, based respectively on modulation of the characteristic nonlocal length, the Kerr nonlinearity, and the external parabolic confinement. We show that all three protocols enable high-fidelity compression over strongly reduced propagation distances. By comparing control smoothness and final fidelity, we find that the relative performance of the protocols in the very short-distance regime depends on the chosen criterion, revealing a trade-off between implementation smoothness and target-profile accuracy. These results establish a practical and general route to fast soliton manipulation in nonlocal media.
