Transfer and scattering of wave packets by a nonlinear trap

非线性波包加速到波混和与自囚禁在Hatano-Nelson模型中的交叉

Crossovers from nonlinear wave-packet acceleration to wave-mixing and self-trapping in the Hatano-Nelson model

研究非线性波包在非 reciprocity 系统中的传输行为，揭示非线性与放大作用的相互作用导致波包经历三个动态阶段：非线性皮肤阶段、波混和阶段和自囚禁阶段。

Dynamical phase diagram of Gaussian BEC wave packets in optical lattices

We study the dynamics of self-trapping in Bose-Einstein condensates (BECs) loaded in deep optical lattices with Gaussian initial conditions, when the dynamics is well described by the Discrete Nonlinear Schrödinger Equation (DNLS). In the literature an approximate dynamical phase diagram based on a variational approach was introduced to distinguish different dynamical regimes: diffusion, self-trapping and moving breathers. However, we find that the actual DNLS dynamics shows a completely different diagram than the variational prediction. We numerically calculate a detailed dynamical phase diag…

Nonlinear dynamics of wave packets in tunnel-coupled harmonic-oscillator traps

We consider a two-component linearly-coupled system with the intrinsic cubic nonlinearity and the harmonic-oscillator (HO) confining potential. The system models binary settings in BEC and optics. In the symmetric system, with the HO trap acting in both components, we consider Josephson oscillations (JO) initiated by an input in the form of the HO's ground state (GS) or dipole mode (DM), placed in one component. With the increase of the strength of the self-focusing nonlinearity, spontaneous symmetry breaking (SSB) between the components takes place in the dynamical JO state. Under still stron…

非局部弹性晶格与$\mathcal{PT}$-对称性及时间调制：从完美捕获到波回弹效应

Non-Local Elastic Lattices with $\mathcal{PT}$-Symmetry and Time Modulation: From Perfect Trapping to the Wave Boomerang Effect

本文研究了具有$\mathcal{PT}$-对称性和时间调制的非局部弹性晶格，实现了波的完美捕获和回弹效应，拓展了弹性介质中的波引导与信息处理应用。

The Affective Factors on the Uncertainty in the Collisions of the Soliton Solutions of the Double Field sine-Gordon System

Inspired by the well known sine-Gordon equation, we present a symmetric coupled system of two real scalar fields in $1+1$ dimensions. There are three different topological soliton solutions which be labelled according to their topological charges. These solitons can absorb some localized non-dispersive wave packets in collision processes. It will be shown numerically, during collisions between solitons, there will be an uncertainty which originates from the amount of the maximum amplitude and arbitrary initial phases of the trapped wave packets.

Probing surface states with many-body wave packet scattering

The scattering of 1D matter wave bright solitons on attractive potentials enables one to populate bound states, a feature impossible with noninteracting wave packets. Compared to noninteracting states, the populated states are renormalized by the attractive interactions between atoms and keep the same topology. This renormalization can even transform a virtual state into a bound state. By switching off adiabatically the interactions, the trapped wave packets converge towards the true noninteracting bound states. Our numerical studies show how such scattering experiments can reveal and characte…