Volume 134, Number 6, June 2021
|Number of page(s)||4|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|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
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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