标题： 超固态中的自维持约瑟夫森动力学和自囚禁现象 显示英文标题

标题： Self-sustained Josephson dynamics and self-trapping in supersolids

摘要： 我们探讨了偶极超固态中的自持约瑟夫森结动力学，预测了自囚禁的可能性，并且实验上观察到了约瑟夫森振荡[Biagioni, G. 等.,《自然》629, 773 (2024)]。 使用一个不对称两模（ATM）模型来描述三角形的偶极超固态，通过Gross-Pitaevskii模拟验证，我们证明系统的对称性使得尽管存在七个液滴，仍然可以保持一致的两模映射。 因此，相关的哈密顿量使我们能够直接确定自囚禁区域。 此外，我们展示了将系统旋转不会影响其在整个范围内维持约瑟夫森结动力学的能力，并评估了这些条件下的ATM模型的鲁棒性。 我们进一步发现，在演化过程中，非轴向的液滴会沿着径向移动，这取决于中心液滴的大小。 这些运动不会干扰模型预测。 显示英文摘要

摘要： We explore the self-sustained Josephson junction dynamics in dipolar supersolids, predicting the possibility of self-trapping alongside the experimentally observed Josephson oscillations [Biagioni, G. et al., Nature 629, 773 (2024)]. Using an asymmetric two-mode (ATM) model to describe a triangular dipolar supersolid, validated through Gross-Pitaevskii simulations, we demonstrate that the system's symmetry enables a consistent two-mode mapping despite the presence of seven droplets. Hence, the associated Hamiltonian allows us to straightforwardly determine the self-trapping regime. Additionally, we show that bringing the system into rotation preserves its ability to sustain the Josephson junction dynamics across its full range, and we assess the robustness of the ATM model under these conditions. We further find that the off-axis droplets move in the radial direction during the evolution in accordance with the size of the central droplet. Such movements do not interfere with the model predictions.