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.

doi:10.1103/physrevlett.111.100406

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.

Authors

B. Gertjerenken

T.P. Billam

C.L. Blackley

C.R. Le Sueur

L. Khaykovich

Professor Simon Cornish s.l.cornish@durham.ac.uk
Professor

C. Weiss

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

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Copyright Statement
Reprinted with permission from the American Physical Society: Bettina Gertjerenken, Thomas P. Billam, Caroline L. Blackley, C. Ruth Le Sueur, Lev Khaykovich, Simon L. Cornish, and Christoph Weiss, Physical Review Letters, 111, 100406, 2013. © 2013 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.