Observation of time quasicrystal and its transition to superfluid time crystal.
We report experimental realization of a quantum time quasicrystal, and its transformation to a quantum time crystal. We study magnon BECs, associated with coherent spin precession, created in a flexible trap in superfluid $^3$He-B. Under a periodic RF drive, the coherent spin precession is stabilized at a frequency smaller than that of the drive, demonstrating spontaneous breaking of discrete time translation symmetry. The induced precession frequency is incommensurate with the drive, and hence the obtained state a time quasicrystal. When the drive is turned off, the self sustained coherent precession lives a macroscopically-long time, now representing a time crystal with broken symmetry with respect to continuous time translations. Additionally, the magnon BEC manifests spin superfluidity, justifying calling the obtained state a time supersolid or a time super-crystal.
Publisher URL: http://arxiv.org/abs/1712.06877
DOI: arXiv:1712.06877v3
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