Beyond-mean-field behavior of large Bose-Einstein condensates in double-well potentials

Gertjerenken, Bettina; Weiss, Christoph

doi:10.1103/physreva.88.033608

Beyond-mean-field behavior of large Bose-Einstein condensates in double-well potentials

Gertjerenken, Bettina; Weiss, Christoph

Authors

Bettina Gertjerenken

Christoph Weiss

Abstract

For the dynamics of Bose-Einstein condensates (BECs), differences between mean-field (Gross-Pitaevskii) physics and N-particle quantum physics often disappear if the BEC becomes larger and larger. In particular, the time scale for which both dynamics agree should thus become larger if the particle number increases. For BECs in a double-well potential, we find both examples for which this is the case and examples for which differences remain even for huge BECs on experimentally realistic short time scales. By using a combination of numerical and analytical methods, we show that the differences remain visible on the level of expectation values even beyond the largest possible numbers realized experimentally for BECs with ultracold atoms.

Citation

Gertjerenken, B., & Weiss, C. (2013). Beyond-mean-field behavior of large Bose-Einstein condensates in double-well potentials. Physical Review A, 88(3), Article 033608. https://doi.org/10.1103/physreva.88.033608

Journal Article Type	Article
Publication Date	Sep 6, 2013
Deposit Date	Jul 29, 2014
Publicly Available Date	Jul 29, 2014
Journal	Physical Review A
Print ISSN	1050-2947
Electronic ISSN	1094-1622
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	88
Issue	3
Article Number	033608
DOI	https://doi.org/10.1103/physreva.88.033608

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Copyright Statement
Reprinted with permission from the American Physical Society: Gertjerenken, Bettina and Weiss, Christoph (2013) 'Beyond-mean-field behavior of large Bose-Einstein condensates in double-well potentials.', Physical review A., 88 (3). 033608. © 2013 American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.