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

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

Department of Physics - at Bar-Ilan University

University of Oldenburg
University of Otago
Durham University

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

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.

Original language	English
Article number	100406
Journal	Physical Review Letters
Volume	111
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevLett.111.100406
State	Published - 6 Sep 2013

Funding

Funders	Funder number
Engineering and Physical Sciences Research Council	EP/F002068/1

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10.1103/PhysRevLett.111.100406

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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 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.",

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AU - Gertjerenken, Bettina

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AU - Khaykovich, Lev

AU - Cornish, Simon L.

AU - Weiss, Christoph

PY - 2013/9/6

Y1 - 2013/9/6

N2 - 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.

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Generating mesoscopic bell states via collisions of distinguishable quantum bright solitons

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