TY - JOUR
T1 - Generating mesoscopic bell states via collisions of distinguishable quantum bright solitons
AU - Gertjerenken, Bettina
AU - Billam, Thomas P.
AU - Blackley, Caroline L.
AU - Le Sueur, C. Ruth
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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84884236623&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.111.100406
DO - 10.1103/PhysRevLett.111.100406
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C2 - 25166639
SN - 0031-9007
VL - 111
JO - Physical Review Letters
JF - Physical Review Letters
IS - 10
M1 - 100406
ER -