Effects of coherence on quantum speed limits and shortcuts to adiabaticity in many-particle systems
Effects of coherence on quantum speed limits and shortcuts to adiabaticity in many-particle systems
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DOI：
10.1103/physrevresearch.2.023125
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发表时间：
2019-10
影响因子：
4.2
通讯作者：
Tian-Niu Xu;Jing Li;T. Busch;Xi Chen;Thomás Fogarty
中科院分区：
文献类型：
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作者：
Tian-Niu Xu;Jing Li;T. Busch;Xi Chen;Thomás Fogarty
我们讨论多体相干性对超冷原子气体演化速度的影响以及与量子速度极限的关系。我们的方法专注于两个相关的系统，即无旋费米子和玻色子唐克斯-吉拉多气体，它们具有等效的密度动力学，但相干特性却截然不同。为了说明相干性对动力学的影响，我们考虑挤压限制粒子的非谐势，并发现两个系统之间的演化速度表现出微妙但根本的差异。此外，我们通过实施旨在减少寄生激励的绝热捷径来探索驱动动力学的差异。我们证明，强相互作用玻色子之间的碰撞会导致相干性的变化，从而导致不同的演化速度，从而导致最终状态的保真度不同。
We discuss the effects of many-body coherence on the speed of evolution of ultracold atomic gases and the relation to quantum speed limits. Our approach is focused on two related systems, spinless fermions and the bosonic Tonks-Girardeau gas, which possess equivalent density dynamics but very different coherence properties. To illustrate the effect of the coherence on the dynamics we consider squeezing an anharmonic potential which confines the particles and find that the speed of the evolution exhibits subtle, but fundamental differences between the two systems. Furthermore, we explore the difference in the driven dynamics by implementing a shortcut to adiabaticity designed to reduce spurious excitations. We show that collisions between the strongly interacting bosons can lead to changes in the coherence which results in different evolution speeds and therefore different fidelities of the final states.