Lack of a genuine time crystal in a chiral soliton model

Abstract

In a recent publication [Phys. Rev. Lett. {\bf 124}, 178902] 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.

4 pages, 2 figures, version accepted for publication as a Rapid Communication in Physical Review Research

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