论文标题
从迅速变化的潜力中bose-内施泰因冷凝物的量子反射:深色孤子的作用
Quantum reflection of a Bose-Einstein condensate from a rapidly varying potential: the role of dark soliton
论文作者
论文摘要
我们研究了含有深色孤子的玻色网凝结物(BEC)的动态行为,这些孤子与潜在的滴和潜在障碍物分别反射。结果表明,对于迅速变化的电位和一定的入射速度状态,量子反射概率显示了入射孤子和反射的孤子(即$ r(θ)\ sim \ sim \ cos2θ$)之间偏转角的余弦。对于潜在的下降,$ r(θ)$容易受到潜在降低的宽度,直至深色孤子的长度,以及在soliton $θ= 0 $和$θ=π/2 $,$Δr_s$的方向角度之间的反射率差,$θ=π/2 $,$Δr_s$,显示振动成expartial的振动型号随增加的潜在范围而增加。但是,对于屏障电位,$ r(θ)$的潜在宽度小于物质波的衰减长度和$ΔR_S$的潜在宽度不敏感。两个系统中反射率的这种差异是由于潜在变化区域中物质波的不同行为产生的。
We study the dynamic behavior of a Bose-Einstein condensate (BEC) containing a dark soliton separately reflected from potential drops and potential barriers. It is shown that for a rapidly varying potential and in a certain regime of incident velocity, the quantum reflection probability displays the cosine of the deflection angle between the incident soliton and the reflected soliton, i.e., $R(θ) \sim \cos 2θ$. For a potential drop, $R(θ)$ is susceptible to the widths of potential drop up to the length of the dark soliton and the difference of the reflection rates between the orientation angle of the soliton $θ=0$ and $θ=π/2$, $δR_s$, displays oscillating exponential decay with increasing potential widths. However, for a barrier potential, $R(θ)$ is insensitive for the potential width less than the decay length of the matter wave and $δR_s$ presents an exponential trend. This discrepancy of the reflectances in two systems is arisen from the different behaviors of matter waves in the region of potential variation.