title: Generating mesoscopic Bell states via collisions of distinguishable quantum bright solitons.
abstract: We investigate numerically the collisions of two distinguishable quantum matter-wave bright solitons in a one-dimensional harmonic trap. We show that such collisions can be used to generate mesoscopic Bell states that can reliably be distinguished from statistical mixtures. Calculation of the relevant s-wave scattering lengths predicts that such states could potentially be realized in quantum-degenerate mixtures of 85Rb and 133Cs. In addition to fully quantum simulations for two distinguishable two-particle solitons, we use a mean-field description supplemented by a stochastic treatment of quantum fluctuations in the soliton's center of mass: we demonstrate the validity of this approach by comparison to a mathematically rigorous effective potential treatment of the quantum many-particle problem.
authors.affiliation: Institut für Physik, Carl von Ossietzky Universität, D-26111 Oldenburg, Germany.
authors.forename: Bettina
authors.initials: B
authors.lastname: Gertjerenken
authors.affiliation: Department of Physics, Jack Dodd Center for Quantum Technology, University of Otago, Dunedin 9016, New Zealand.
authors.forename: Thomas P
authors.initials: TP
authors.lastname: Billam
authors.affiliation: Department of Chemistry, Joint Quantum Centre (JQC) Durham-Newcastle, Durham University, Durham DH1 3LE, United Kingdom.
authors.forename: Caroline L
authors.initials: CL
authors.lastname: Blackley
authors.affiliation: Department of Chemistry, Joint Quantum Centre (JQC) Durham-Newcastle, Durham University, Durham DH1 3LE, United Kingdom.
authors.forename: C Ruth
authors.initials: CR
authors.lastname: Le Sueur
authors.affiliation: Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel.
authors.forename: Lev
authors.initials: L
authors.lastname: Khaykovich
authors.affiliation: Department of Physics, Joint Quantum Centre (JQC) Durham-Newcastle, Durham University, Durham DH1 3LE, United Kingdom.
authors.forename: Simon L
authors.initials: SL
authors.lastname: Cornish
authors.affiliation: Department of Physics, Joint Quantum Centre (JQC) Durham-Newcastle, Durham University, Durham DH1 3LE, United Kingdom.
authors.forename: Christoph
authors.initials: C
authors.lastname: Weiss