Generating Mesoscopic Bell States via Collisions of Distinguishable Quantum Bright Solitons

Gertjerenken, B.; Billam, T.P.; Blackley, C.L.; Le Sueur, C.R.; Khaykovich, L.; Cornish, S.L.; Weiss, C.

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 Rb85 and Cs133. 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.

Citation

Gertjerenken, B., Billam, T., Blackley, C., Le Sueur, C., Khaykovich, L., Cornish, S., & Weiss, C. (2013). Generating Mesoscopic Bell States via Collisions of Distinguishable Quantum Bright Solitons. Physical Review Letters, 111(10), Article 100406. https://doi.org/10.1103/physrevlett.111.100406

• Journal Article Type: Article
• Publication Date: Sep 6, 2013
• Deposit Date: Jun 25, 2014
• Publicly Available Date: Jun 26, 2014
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 111
• Issue: 10
• Article Number: 100406
• DOI: https://doi.org/10.1103/physrevlett.111.100406
• Public URL: https://durham-repository.worktribe.com/output/1449288