Lack of a genuine time crystal in a chiral soliton model

In a recent publication [Phys. Rev. Lett. 124, 178902 (2020)PRLTAO0031-900710.1103/PhysRevLett.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...

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Main Authors: Andrzej Syrwid, Arkadiusz Kosior, Krzysztof Sacha
Format: Article
Language:English
Published: American Physical Society 2020-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.032038
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author Andrzej Syrwid
Arkadiusz Kosior
Krzysztof Sacha
author_facet Andrzej Syrwid
Arkadiusz Kosior
Krzysztof Sacha
author_sort Andrzej Syrwid
collection DOAJ
description In a recent publication [Phys. Rev. Lett. 124, 178902 (2020)PRLTAO0031-900710.1103/PhysRevLett.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.
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spelling doaj.art-6c6a78984f58462d9c0a446ef47c855b2024-04-12T16:58:55ZengAmerican Physical SocietyPhysical Review Research2643-15642020-08-012303203810.1103/PhysRevResearch.2.032038Lack of a genuine time crystal in a chiral soliton modelAndrzej SyrwidArkadiusz KosiorKrzysztof SachaIn a recent publication [Phys. Rev. Lett. 124, 178902 (2020)PRLTAO0031-900710.1103/PhysRevLett.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.http://doi.org/10.1103/PhysRevResearch.2.032038
spellingShingle Andrzej Syrwid
Arkadiusz Kosior
Krzysztof Sacha
Lack of a genuine time crystal in a chiral soliton model
Physical Review Research
title Lack of a genuine time crystal in a chiral soliton model
title_full Lack of a genuine time crystal in a chiral soliton model
title_fullStr Lack of a genuine time crystal in a chiral soliton model
title_full_unstemmed Lack of a genuine time crystal in a chiral soliton model
title_short Lack of a genuine time crystal in a chiral soliton model
title_sort lack of a genuine time crystal in a chiral soliton model
url http://doi.org/10.1103/PhysRevResearch.2.032038
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