非瞬时非线性下波包展开动力学：自 trapping、发散与聚焦
Wavepacket spreading dynamics under a non-instantaneous nonlinearity: Self-trapping, defocusing and focusing
AI总结：
研究非瞬时非线性对波包展开动力学的影响，揭示自 trapping、发散与聚焦现象的复杂行为。
摘要：
特殊局域波模出现在多个物理场景中，包括光学晶格中的玻色-爱因斯坦凝聚体、非线性光子晶体以及强电子-声子相互作用系统。这些现象源于波方程中非线性贡献，通常假设为瞬时的。本文证明非线性松弛过程对波包动力学和局域模形成有深远影响。我们通过考虑一个电子波包在C60 buckball结构中的展开动力学来说明这一现象，其动力学由具有德拜松弛的非线性薛定谔方程所支配。我们报告了与渐近波包空间扩展相关的完整相图，并揭示了复杂的波包动力学行为。
英文摘要：
Special localized wavemodes show up in several physical scenarios including BEC in optical lattices, nonlinear photonic crystals and systems with strong electron-phonon interaction. These result from an underlying nonlinear contribution to the wave equation that is usually assumed to be instantaneous. Here we demonstrate that the relaxation process of the nonlinearity has a profound impact in the wavepacket dynamics and in the formation of localized modes. We illustrate this phenomenology by considering the one-electron wavepacket spreading in a $C60$ buckball structure whose dynamics is governed by a discrete nonlinear Schroedinger equation with a Debye relaxation of the nonlinearity. We report the full phase-diagram related to the spacial extension of the asymptotic wavepacket and unveil a complex wavepacket dynamical behavior.
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