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EPL Association, European Physical Society Letters, 6(134), p. 66001, 2021

DOI: 10.1209/0295-5075/134/66001

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Can a bright soliton model reveal a genuine time crystal for a finite number of bosons?

Journal article published in 2021 by Andrzej Syrwid ORCID, Arkadiusz Kosior ORCID, Krzysztof Sacha
Distributing this paper is prohibited by the publisher
Distributing this paper is prohibited by the publisher

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Abstract

Abstract We analyze time crystal effects in a finite system of bosons which form a bright soliton clump on the Aharonov-Bohm ring. In the large particle number limit, N → ∞, this setup corresponds to the Wilczek model, where it is known that the time crystal behavior cannot be observed in the ground state of the system because a spontaneously formed soliton does not move. Here, we show that while the spontaneous formation of a moving soliton in the ground state can occur for , the soliton decays before it makes a single revolution along the ring and the time crystal dynamics is impossible.