| Issue |
EPL
Volume 134, Number 6, June 2021
|
|
|---|---|---|
| Article Number | 66001 | |
| Number of page(s) | 4 | |
| Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
| DOI | https://doi.org/10.1209/0295-5075/134/66001 | |
| Published online | 03 September 2021 | |
Can a bright soliton model reveal a genuine time crystal for a finite number of bosons?
1 Department of Physics, KTH Royal Institute of Technology - Stockholm SE-10691, Sweden
2 Instytut Fizyki Teoretycznej, Uniwersytet Jagielloński - ulica Profesora Stanisława łojasiewicza 11, PL-30-348 Kraków, Poland
3 Institute for Theoretical Physics, University of Innsbruck - 6020 Innsbruck, Austria
(a) syrwid@kth.se (corresponding author)
Received: 17 December 2020
Accepted: 14 June 2021
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.
© 2021 The author(s)
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