School of physics and technology, University of Jinan, Jinan, 250022, China.
College of physics, Jilin University, Changchun, 130023, China.
Sci Rep. 2016 Dec 23;6:39110. doi: 10.1038/srep39110.
Non-Markovian effect is found to be able to decrease the quantum speed limit (QSL) time, and hence to enhance the intrinsic speed of quantum evolution. Although a reservoir with larger degree of non-Markovianity may seem like it should cause smaller QSL times, this seemingly intuitive thinking may not always be true. We illustrate this by investigating the QSL time of a qubit that is coupled to a two-band photonic-band-gap (PBG) environment. We show how the QSL time is influenced by the coherent property of the reservoir and the band-gap width. In particular, we find that the decrease of the QSL time is not attributed to the increasing non-Markovianity, while the memory time of the environment can be seen as an essential reflection to the QSL time. So, the QSL time provides a further insight and sharper identification of memory time in a PBG environment. We also discuss a feasible experimental realization of our prediction.
非马尔可夫效应被发现能够降低量子速度限制(QSL)时间,从而提高量子演化的固有速度。尽管具有更大非马尔可夫程度的储层似乎应该导致更小的 QSL 时间,但这种直观的思维方式并不总是正确的。我们通过研究与双能带光子带隙(PBG)环境耦合的qubit 的 QSL 时间来说明这一点。我们展示了 QSL 时间如何受到储层的相干性质和带隙宽度的影响。特别地,我们发现 QSL 时间的减少并不是归因于非马尔可夫性的增加,而环境的记忆时间可以看作是对 QSL 时间的本质反映。因此,QSL 时间提供了对 PBG 环境中记忆时间的进一步深入了解和更准确的识别。我们还讨论了我们预测的一种可行的实验实现。