Lack of a genuine time crystal in a chiral soliton model
Andrzej Syrwid, Arkadiusz Kosior, Krzysztof Sacha
Abstract
In a recent publication [Phys. Rev. Lett. 124, 178902 (2020)], hberg 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.
Topics & Concepts
PhysicsSolitonCrystal (programming language)Statistical physicsProbability density functionEnergy densityEnergy (signal processing)Quantum mechanicsProbability distributionDiscrete time and continuous timeTheoretical physicsMathematicsMathematical physicsWrightQuantum many-body systemsQuantum Information and CryptographyQuantum and electron transport phenomena