论文标题
超低量子气中的非线性加速
Nonlinear speed-ups in ultracold quantum gases
论文作者
论文摘要
量子力学是一种固有的线性理论。但是，许多人体量子系统中的集体效应会产生有效的非线性动力学。在目前的工作中，我们分析了是否可以利用这种非线性效应以提高量子进化速率。为此，我们计算了数值和分析示例的量子速度限制的合适版本。我们发现，量子速度限制随着非线性的强度而增长，但是它并没有随着非线性的``''''''尺度而缩小。这是在数值上证明了参数谐波振荡器遵守GROSS-PITEAVSKII和KOLOMEISKY DYNAGIC，并在分析中用于在Gross-Pitaevskii动力学下扩展框。
Quantum mechanics is an inherently linear theory. However, collective effects in many body quantum systems can give rise to effectively nonlinear dynamics. In the present work, we analyze whether and to what extent such nonlinear effects can be exploited to enhance the rate of quantum evolution. To this end, we compute a suitable version of the quantum speed limit for numerical and analytical examples. We find that the quantum speed limit grows with the strength of the nonlinearity, yet it does not trivially scale with the ``degree'' of nonlinearity. This is numerically demonstrated for the parametric harmonic oscillator obeying Gross-Piteavskii and Kolomeisky dynamics, and analytically for expanding boxes under Gross-Pitaevskii dynamics.
