Volume 133, Number 1, January 2021
|Number of page(s)||7|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||05 March 2021|
Characterising arbitrary dark solitons in trapped one-dimensional Bose-Einstein condensates(a)
1 Joint Quantum Centre (JQC) Durham –Newcastle, School of Mathematics, Statistics and Physics, Newcastle University - Newcastle upon Tyne, NE1 7RU UK
Received: 14 October 2020
Accepted: 8 February 2021
We present a method to detect the presence and depth of dark solitons within repulsive one-dimensional harmonically trapped Bose-Einstein condensates. For a system with one soliton, we provide numerical evidence that the shift of the density in Fourier space directly maps onto the depth of the soliton. For multi-soliton systems, combining our spectral method with established imaging techniques, the character of the solitons present in the condensate can be determined. We verify that the detection of solitons by the spectral shift works in the presence of waves induced by density engineering methods. Finally we discuss implications for vortex detection in three-dimensional Bose-Einstein condensates.
PACS: 67.85.-d – Ultracold gases, trapped gases / 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations / 03.75.Nt – Other Bose-Einstein condensation phenomena
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