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Synchronization in rotating supersolids
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DOI：10.1038/s41567-025-03065-7.png)
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Abstract
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Synchronization is a widespread phenomenon in natural and engineered systems, governing the emergence of collective dynamics in different domains including biology and classical and quantum physics. In quantum many-body systems, synchronization has emerged as a tool to probe out-of-equilibrium behaviour and internal correlations. Supersolids—quantum phases that combine crystalline order and superfluidity—offer a platform to explore synchronization in systems with coexisting broken symmetries. Here we investigate the dynamics of a dipolar supersolid subjected to external rotation. We show that, above a critical driving frequency, the crystal revolution undergoes a sudden synchronization with the rotating field seeded by the nucleation of quantized vortices, hallmark of superfluidity. This transition reflects the interplay between the solid-like and superfluid responses of the system. By comparing simulations of the extended Gross–Pitaevskii equation with experimental observations, we demonstrate that synchronization can serve as a dynamical indicator for vortex nucleation. This approach provides a complementary method to determine the critical rotation frequency for vortex formation in supersolids. Supersolids combine superfluid and crystal order and their response to external driving remains unclear. Now it is shown that, in a dipolar supersolid, rotation induces synchronization of the crystal motion via vortex nucleation.
Keywords:
Synchronization
Supersolids
Vortex nucleation
Dipolar interactions
Quantum many-body systems
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