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PreprintCC BY 4.0arXiv

Shortcuts to adiabaticity for rapid soliton compression in nonlocal media

Abstract

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.

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BibTeX
@misc{li2026shortcuts,
  title = {{Shortcuts to adiabaticity for rapid soliton compression in nonlocal media}},
  author = {Yingjia Li and Qian Kong and Xihua Yang and Xi Chen},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.06600},
  eprint = {2609.06600},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.06600},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Shortcuts to adiabaticity for rapid soliton compression in nonlocal media
AU  - Yingjia Li
AU  - Qian Kong
AU  - Xihua Yang
AU  - Xi Chen
PY  - 2026
DA  - 2026/09/06
PB  - arXiv
DO  - 10.48550/arxiv.2609.06600
UR  - https://arxiv.org/abs/2609.06600
AB  - 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.
ER  -