论文标题
通过反射无反射的势屏障和位置依赖性分散散布的深色孤子的量子反射
Quantum reflection of dark solitons scattered by reflectionless potential barrier and position-dependent dispersion
论文作者
论文摘要
我们在理论上和数值上研究了深色孤子的量子反射，这些反射是通过外部反射潜在的势垒传播的，或者在存在依赖位置的分散体的情况下。我们确认，在两种情况下，量子反射都发生在完全反射和以临界初始孤子速度以完全反射和完全传输之间的急剧过渡。临界速度是根据孤子和潜在参数在数值和分析上计算的。使用精确的捕获模式，时间无关和时间依赖性变分计算得出临界速度的分析表达式。然后表明，谐振散射发生在临界速度，其中传入孤子的能量与被困模式的能量共鸣。只要避免了周期性的多 - 苏利体弹性射出制度，就可以获得临界速度的分析值和数值之间的合理一致性。
We investigate theoretically and numerically quantum reflection of dark solitons propagating through an external reflectionless potential barrier or in the presence of a position-dependent dispersion. We confirm that quantum reflection occurs in both cases with sharp transition between complete reflection and complete transmission at a critical initial soliton speed. The critical speed is calculated numerically and analytically in terms of the soliton and potential parameters. Analytical expressions for the critical speed were derived using the exact trapped mode, a time-independent, and a time-dependent variational calculations. It is then shown that resonant scattering occurs at the critical speed, where the energy of the incoming soliton is resonant with that of a trapped mode. Reasonable agreement between analytical and numerical values for the critical speed is obtained as long as a periodic multi-soliton ejection regime is avoided.
