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arXiv · 1208.4984

Nonlocal quantum superpositions of bright matter-wave solitons and dimers

Bettina Gertjerenken·Christoph Weiss
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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.

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Bettina Gertjerenken, Christoph Weiss. 2012-08-24. Nonlocal quantum superpositions of bright matter-wave solitons and dimers. https://doi.org/10.1088/0953-4075%2F45%2F16%2F165301

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