Splitting bright matter-wave solitons on narrow potential barriers: Quantum to classical transition and applications to interferometry

Helm, J.L.; Rooney, S.J.; Weiss, C.; Gardiner, S.A.

doi:10.1103/physreva.89.033610

Splitting bright matter-wave solitons on narrow potential barriers: Quantum to classical transition and applications to interferometry

Helm, J.L.; Rooney, S.J.; Weiss, C.; Gardiner, S.A.

Authors

J.L. Helm

S.J. Rooney

C. Weiss

Professor Simon Gardiner s.a.gardiner@durham.ac.uk
Professor

Abstract

We study bright solitons in the Gross-Pitaevskii equation as they are split and recombined in a low-energy system. We present analytic results determining the general region in which a soliton may not be split on a potential barrier and confirm these results numerically. Furthermore, we analyze the energetic regimes where quantum fluctuations in the initial center-of-mass position and momentum become influential on the outcome of soliton splitting and recombination events. We then use the results of this analysis to determine a parameter regime where soliton interferometry is practicable.

Citation

Helm, J., Rooney, S., Weiss, C., & Gardiner, S. (2014). Splitting bright matter-wave solitons on narrow potential barriers: Quantum to classical transition and applications to interferometry. Physical Review A, 89(3), Article 033610. https://doi.org/10.1103/physreva.89.033610

Journal Article Type	Article
Publication Date	Mar 10, 2014
Deposit Date	Mar 31, 2014
Publicly Available Date	Apr 3, 2014
Journal	Physical review. A.
Print ISSN	1050-2947
Electronic ISSN	1094-1622
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	89
Issue	3
Article Number	033610
DOI	https://doi.org/10.1103/physreva.89.033610