Lack of a genuine time crystal in a chiral soliton model
arXiv:2005.12313 · doi:10.1103/PhysRevResearch.2.032038
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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Cited by in corpus (10)
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- Modulational instability and soliton generation in chiral Bose-Einstein condensates with zero-energy nonlinearity
- Quantum trajectories of dissipative time-crystals
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- Bose-Hubbard realization of fracton defects
- Inseparable time-crystal geometries on the Möbius strip
- Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain Without Disorder
- Anderson Molecules
- Can a bright soliton model reveal a genuine time crystal for a finite number of bosons?
- Continuous time crystal from a spontaneous many-body Floquet state