Lack of a genuine time crystal in a chiral soliton model

Syrwid, Andrzej; Kosior, Arkadiusz; Sacha, Krzysztof

doi:10.1103/PhysRevResearch.2.032038

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Lack of a genuine time crystal in a chiral soliton model

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Kosior, Arkadiusz
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Syrwid, A., Kosior, A., & Sacha, K. (2020). Lack of a genuine time crystal in a chiral soliton model. Physical Review Research, 2(3): 032038. doi:10.1103/PhysRevResearch.2.032038.

Cite as: https://hdl.handle.net/21.11116/0000-0009-4023-7

Abstract

In a recent publication [Phys. Rev. Lett. 124, 178902 (2020)], Ohberg 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.