Recent advancements in fabrication techniques have enabled unprecedented clean interfaces and gate tunability in semiconductor-superconductor heterostructures. Inspired by these developments, we propose protocols to realize Thouless quantum pumping in electrically tunable Josephson junction arrays. We analyze, in particular, the implementation of the Rice-Mele and the Harper-Hofstadter pumping schemes, whose realization would validate these systems as flexible platforms for quantum simulations. We investigate numerically the long-time behavior of chains of controllable superconducting islands in the Coulomb-blockaded regime. Our findings provide new insights into the dynamics of periodically driven interacting systems and highlight the robustness of Thouless pumping with respect to boundary effects typical of superconducting circuits.

中文翻译：

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约瑟夫森结阵列中的无休止泵浦

制造技术的最新进展使得半导体-超导体异质结构中实现了前所未有的清洁界面和栅极可调性。受这些发展的启发，我们提出了在电可调约瑟夫森结阵列中实现无量量子泵浦的协议。我们特别分析了 Rice-Mele 和 Harper-Hofstadter 泵浦方案的实施，其实现将验证这些系统作为量子模拟的灵活平台。我们对库仑封锁状态下可控超导岛链的长期行为进行了数值研究。我们的研究结果为周期性驱动相互作用系统的动力学提供了新的见解，并强调了无意识泵浦对于超导电路典型边界效应的鲁棒性。