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.

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 - Atomic, Molecular, and Optical Physics
• 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
• Public URL: https://durham-repository.worktribe.com/output/1436779