Journal
NEW JOURNAL OF PHYSICS
Volume 19, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/aa766b
Keywords
ultracold bosons; bosonic mixtures; dark-bright solitons; fragmentation; entanglement; beyond mean field dynamics; pattern formation
Categories
Funding
- Deutsche Forschungsgemeinschaft (DFG) [SFB 925]
- excellence cluster 'The Hamburg Center for Ultrafast Imaging: Structure, Dynamics and Control of Matter at the Atomic Scale'
- DFG [SCHM885/26-1]
- Alexander von Humboldt Foundation
- ERC under, Marie Curie Actions, People, International Research Staff Exchange Scheme [IRSES-605096]
- [NSF-DMS-1312856]
- [NSF-PHY-1602994]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1602994] Funding Source: National Science Foundation
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The dynamics of dark-bright (DB) solitons beyond the mean-field approximation is investigated. We first examine the case of a single DB soliton and its oscillations within a parabolic trap. Subsequently, we move to the setting of collisions, comparing the mean-field approximation to that involving multiple orbitals in both the dark and the bright component. Fragmentation is present and significantly affects the dynamics, especially in the case of slower solitons and in that of lower atom numbers. It is shown that the presence of fragmentation allows for bipartite entanglement between the distinguishable species. Most importantly the interplay between fragmentation and entanglement leads to the splitting of each of the parent mean-field DB solitons, placed off-center within the parabolic trap, into a fast and a slow daughter solitary wave. The latter process is in direct contrast to the predictions of the mean-field approximation. A variety of excitations including DB solitons in multiple (concurrently populated) orbitals is observed. Dark-antidark states and domain-wall-bright soliton complexes can also be observed to arise spontaneously in the beyond mean-field dynamics.
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