Mesoscopic entanglement via a three-well Bose-Hubbard system and comparison with an optical beamsplitter

Olsen, M.K. (2016) Mesoscopic entanglement via a three-well Bose-Hubbard system and comparison with an optical beamsplitter. Optics Communications, 371 1-8. doi:10.1016/j.optcom.2016.03.040


Author Olsen, M.K.
Title Mesoscopic entanglement via a three-well Bose-Hubbard system and comparison with an optical beamsplitter
Journal name Optics Communications   Check publisher's open access policy
ISSN 0030-4018
1873-0310
Publication date 2016-07-15
Sub-type Article (original research)
DOI 10.1016/j.optcom.2016.03.040
Open Access Status
Volume 371
Start page 1
End page 8
Total pages 8
Place of publication Amsterdam, Netherlands
Publisher Elsevier BV
Language eng
Formatted abstract
We compare and contrast the entangling properties of a three-well Bose–Hubbard model and an optical beamsplitter. The coupling between the different modes is linear in both cases, and we may identify two output modes. Obvious differences are that our Bose–Hubbard model, with only the middle well initially occupied, does not have a vacuum input port, there is no equivalent of a collisional, χ(3) nonlinearity with the beamsplitter, and the results of the Bose–Hubbard model are time dependent. In the non-interacting case, we obtain analytic solutions and show that, like a beamsplitter, the Bose–Hubbard system will not produce entanglement for classical initial states. With nonlinear collisional interactions added, we show that entanglement exists, but that its detection depends on the measures used. In no case did we find a degree of entanglement sufficient to display either the presence of the Einstein–Podolsky–Rosen paradox or the existence of Bell violations.
Keyword Beamsplitter
Bose-Hubbard model
Entanglement
Quantum states
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 3 times in Thomson Reuters Web of Science Article | Citations
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