Controlling transport in quantum systems holds the key to many promising quantum technologies. Here we review the power of symmetry as a resource to manipulate quantum transport and apply these ideas to engineer novel quantum devices. Using tools from open quantum systems and large deviation theory, we show that symmetry-mediated control of transport is enabled by a pair of twin dynamic phase transitions in current statistics, accompanied by a coexistence of different transport channels. By playing with the symmetry decomposition of the initial state, one can modulate the importance of the different transport channels and hence control the flowing current. Motivated by the problem of energy harvesting, we illustrate these ideas in open quantum networks, an analysis that leads to the design of a symmetry-controlled quantum thermal switch. We review an experimental setup recently proposed for symmetry-mediated quantum control in the lab based on a linear array of atom-doped optical cavities, and the possibility of using transport as a probe to uncover hidden symmetries, as recently demonstrated in molecular junctions, is also discussed. Other symmetry-mediated control mechanisms are also described. Overall, these results demonstrate the importance of symmetry not only as an organizing principle in physics but also as a tool to control quantum systems.

中文翻译：

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利用对称性控制量子传输

控制量子系统中的传输是许多有前途的量子技术的关键。在这里，我们回顾对称性作为操纵量子传输的资源的力量，并将这些思想应用到新的量子装置的工程设计中。使用开放式量子系统和大偏差理论的工具，我们证明了对称介导的输运控制由当前统计数据中的一对双动态相变以及不同输运通道的共存实现。通过对初始状态的对称分解进行调节，可以调节不同传输通道的重要性，从而控制流动电流。受能量收集问题的激励，我们在开放量子网络中阐明了这些想法，这一分析导致了对称控制量子热开关的设计。我们回顾了最近提出的基于原子掺杂光学腔的线性阵列在实验室中用于对称介导的量子控制的实验装置，并且如最近在分子连接中所证明的，使用转运作为探针来揭示隐藏的对称性的可能性是还讨论了。还描述了其他对称介导的控制机制。总的来说，这些结果证明了对称性的重要性，它不仅是物理学中的组织原理，而且还是控制量子系统的工具。还描述了其他对称介导的控制机制。总的来说，这些结果证明了对称性的重要性，它不仅是物理学中的组织原理，而且还是控制量子系统的工具。还描述了其他对称介导的控制机制。总的来说，这些结果证明了对称性的重要性，它不仅是物理学中的组织原理，而且还是控制量子系统的工具。