Trade-Off Between Speed and Cost in Shortcuts to Adiabaticity
Trade-Off Between Speed and Cost in Shortcuts to Adiabaticity
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DOI：
10.1103/physrevlett.118.100601
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发表时间：
2017-03-08
影响因子：
8.6
通讯作者：
Deffner, Sebastian
中科院分区：
文献类型：
--
作者：
Campbell, Steve;Deffner, Sebastian
有效地实现绝热动力学是量子物理学几乎所有领域的普遍目标。在这里，我们研究的速度与量子系统可以驱动时，采用无跃迁量子驱动。作为一个主要的结果，我们建立了一个严格的联系，这个速度，量子速度极限，和（能量）的成本，实现这样一个捷径绝热。有趣的是，这种联系阐明了速度和成本之间的权衡，即瞬时操纵是不可能的，因为它需要无限的成本。这些发现说明了两个实验相关的系统-参量振荡器和朗道-齐纳模型-这表明，光谱间隙支配的量子速度限制以及实现捷径的成本。
Achieving effectively adiabatic dynamics is a ubiquitous goal in almost all areas of quantum physics. Here, we study the speed with which a quantum system can be driven when employing transitionless quantum driving. As a main result, we establish a rigorous link between this speed, the quantum speed limit, and the (energetic) cost of implementing such a shortcut to adiabaticity. Interestingly, this link elucidates a trade-off between speed and cost, namely, that instantaneous manipulation is impossible as it requires an infinite cost. These findings are illustrated for two experimentally relevant systems-the parametric oscillator and the Landau-Zener model-which reveal that the spectral gap governs the quantum speed limit as well as the cost for realizing the shortcut.