#### Condensed Matter Theory

### Bettina Gertjerenken et.al.: Generating Mesoscopic Bell States via Collisions of Distinguishable Quantum Bright Solitons

**Author(s)**:**Bettina Gertjerenken, Thomas P. Billam, Caroline L. Blackley, C. Ruth Le Sueur, Lev Khaykovich, Simon L. Cornish, Christoph Weiss****Title**:**Date of Upload**: 2013-09-09
**Article**:**Phys. Rev. Lett. 111, 100406 (2013), American Physical Society****Keywords**: Bell state, matter-wave soliton, bright soliton, effective potential method, classical field method**PACS**: 03.75.Lm, 03.75.Gg, 03.75.Mn, 67.85.-d**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 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.
**URL: http://www.condmat.uni-oldenburg.de/Papers/p_MesoBellStates2013.pdf (text/plain)**

**Generating Mesoscopic Bell States via Collisions of Distinguishable Quantum Bright Solitons**

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