In a recent publication [Phys. Rev. Lett. 124, 178902 (2020)], Öhberg and Wright claim that in a chiral soliton model it is possible to realize a genuine time crystal which corresponds to a periodic evolution of an inhomogeneous probability density in the lowest-energy state. We show that this result is incorrect and present a solution which possesses lower energy with the corresponding probability density that does not reveal any motion. It implies that the authors' conclusion that a genuine time crystal can exist in the system they consider is not true.

• Received 25 May 2020
• Accepted 3 August 2020

DOI:https://doi.org/10.1103/PhysRevResearch.2.032038

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Published by the American Physical Society