Nonlocal quantum superpositions of bright matter-wave solitons and dimers

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.

10 pagers, 5 figures, references: error corrected

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Cited by in corpus (5)

• Splitting of nonlinear-Schrödinger breathers by linear and nonlinear localized potentials
• Ultracold bosonic scattering dynamics off a repulsive barrier: coherence loss at the dimensional crossover
• From short-time diffusive to long-time ballistic dynamics: the unusual center-of-mass motion of quantum bright solitons
• Holding and transferring matter-wave solitons against gravity by spin-orbit-coupling tweezers
• Collision dynamics and entanglement generation of two initially independent and indistinguishable boson pairs in one-dimensional harmonic confinement