Analytical solution of a double-well Bose-Einstein Condensate
Analytical solution of a double-well Bose-Einstein Condensate
We introduce a microscopic computation which shows that the Hamiltonian
of a Bose-Einstein Condensate can be analytically solved in the two-mode
approximation, in particular, in the case of an asymmetric double-well
condensate in the dilute regime. Our model is exactly diagonalisable
when the overlap of the quasilocalized modes in each well is small
enough with respect to the trap asymmetry. For larger overlaps or highly
symmetric traps, our diagonalisable Hamiltonian acquires extra terms
that we treat within perturbation theory.
Quantum Physics, Condensed Matter - Quantum Gases
Sabín, Carlos
2579a1c2-57da-4a90-832a-0f1dbfd92bd6
Barberis-Blostein, Pablo
d355733e-9d59-4e8a-adbe-2e91cffd061f
Fuentes, Ivette
6281afeb-b1bc-44fc-824c-265b57be9794
1 June 2014
Sabín, Carlos
2579a1c2-57da-4a90-832a-0f1dbfd92bd6
Barberis-Blostein, Pablo
d355733e-9d59-4e8a-adbe-2e91cffd061f
Fuentes, Ivette
6281afeb-b1bc-44fc-824c-265b57be9794
Sabín, Carlos, Barberis-Blostein, Pablo and Fuentes, Ivette
(2014)
Analytical solution of a double-well Bose-Einstein Condensate.
arXiv.
(doi:10.48550/arXiv.1406.4984).
Abstract
We introduce a microscopic computation which shows that the Hamiltonian
of a Bose-Einstein Condensate can be analytically solved in the two-mode
approximation, in particular, in the case of an asymmetric double-well
condensate in the dilute regime. Our model is exactly diagonalisable
when the overlap of the quasilocalized modes in each well is small
enough with respect to the trap asymmetry. For larger overlaps or highly
symmetric traps, our diagonalisable Hamiltonian acquires extra terms
that we treat within perturbation theory.
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Published date: 1 June 2014
Keywords:
Quantum Physics, Condensed Matter - Quantum Gases
Identifiers
Local EPrints ID: 480332
URI: http://eprints.soton.ac.uk/id/eprint/480332
ISSN: 2331-8422
PURE UUID: 0f49e200-4f5f-4064-b4f3-d27c12437c20
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Date deposited: 01 Aug 2023 17:23
Last modified: 17 Mar 2024 03:54
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Contributors
Author:
Carlos Sabín
Author:
Pablo Barberis-Blostein
Author:
Ivette Fuentes
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