Condensed Matter Theory

Bettina Gertjerenken Nonlocal quantum superpositions of bright matter-wave solitons and dimers

Author(s): Bettina Gertjerenken, Christoph Weiss

Nonlocal quantum superpositions of bright matter-wave solitons and dimers

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Article: J. Phys. B: At. Mol. Opt. Phys. 45, 165301 (2012) , Institute of Physics

Keywords: Schrodinger-cat states, dimers, quantum matter-wave solitons, bright solitons, effective potential approach

PACS: 03.75.Lm, 05.45.Yv, 03.65.Ge, 03.75.Dg

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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