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arXiv:2008.10940

Comment on "Lack of a genuine time crystal in a chiral soliton model" by Syrwid, Kosior, and Sacha

Patrik Öhberg, Ewan M. Wright

Published Aug 25, 2020• 2 citations
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Abstract

We present a comment on A. Syrwid, A. Kosior, and K. Sacha, "Lack of a genuine time crystal in a chiral soliton model," arXiv:2005.12313.
DOI
10.48550/arxiv.2008.10940

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Lack of a genuine time crystal in a chiral soliton model

Andrzej Syrwid, Arkadiusz Kosior, Krzysztof Sacha

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.

arXiv:2005.12313•Physical Review Research•Aug 17, 2020•19 citations
In a recent comment [1] on our paper [2] Syrwid, Kosior, and Sacha (SKS) asserted that we did not correctly calculate the chiral soliton energy ELAB{\cal E}_{LAB}ELAB​ in the lab frame, and further that the system we proposed is not capable of supporting a genuine quantum time crystal. We concede that we did not correctly calculate ELAB{\cal E}_{LAB}ELAB​ but we illustrate below that our system can nonetheless display time crystal behavior with a ground state that is spatially localized and rotating.
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.