Nonlocal quantum superpositions of bright matter-wave solitons and dimers

Gertjerenken, Bettina; Weiss, Christoph

doi:10.1088/0953-4075/45/16/165301

Nonlocal quantum superpositions of bright matter-wave solitons and dimers

Gertjerenken, Bettina; Weiss, Christoph

Authors

Bettina Gertjerenken

Christoph Weiss

Abstract

The scattering of bright quantum solitons at barrier potentials in one-dimensional geometries is investigated. Such protocols have been predicted to lead to the creation of nonlocal quantum superpositions. The centre-of-mass motion of these bright matter-wave solitons generated from attractive Bose–Einstein condensates can be analysed with the effective potential approach. An application to the case of two particles being scattered at a delta potential allows analytical calculations not possible for higher particle numbers as well as a comparison with numerical results. Both for the dimer and a soliton with particle numbers on the order of N = 100, we investigate the signatures of the coherent superposition states in an interferometric setup and argue that experimentally an interference pattern would be particularly well observable in the centre-of-mass density. Quantum superposition states of ultra-cold atoms are interesting as input states for matter-wave interferometry as they could improve signal-to-noise ratios.

Citation

Gertjerenken, B., & Weiss, C. (2012). Nonlocal quantum superpositions of bright matter-wave solitons and dimers. Journal of Physics B: Atomic, Molecular and Optical Physics, 45(16), https://doi.org/10.1088/0953-4075/45/16/165301

Journal Article Type	Article
Publication Date	Aug 28, 2012
Deposit Date	Jul 29, 2014
Publicly Available Date	Oct 15, 2014
Journal	Journal of Physics B: Atomic, Molecular and Optical Physics
Print ISSN	0953-4075
Electronic ISSN	1361-6455
Publisher	IOP Publishing
Peer Reviewed	Peer Reviewed
Volume	45
Issue	16
DOI	https://doi.org/10.1088/0953-4075/45/16/165301