Generating mesoscopic Bell states via collisions of distinguishable quantum bright solitons

Bettina Gertjerenken; Thomas P. Billam; Caroline L. Blackley; C. Ruth Le Sueur; Lev Khaykovich; Simon L. Cornish; Christoph Weiss

doi:10.1103/physrevlett.111.100406

arXiv · 1301.0718

Generating mesoscopic Bell states via collisions of distinguishable quantum bright solitons

Bettina Gertjerenken·Thomas P. Billam·Caroline L. Blackley·C. Ruth Le Sueur·Lev Khaykovich·Simon L. Cornish·Christoph Weiss

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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 which 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.

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Bettina Gertjerenken, Thomas P. Billam, Caroline L. Blackley, C. Ruth Le Sueur, Lev Khaykovich, Simon L. Cornish, Christoph Weiss. 2013-01-04. Generating mesoscopic Bell states via collisions of distinguishable quantum bright solitons. https://doi.org/10.1103/physrevlett.111.100406

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