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Correlation properties of a three-body bosonic mixture in a harmonic trap

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arxiv 1601.06918 v2 pith:RNHAHXVQ submitted 2016-01-26 cond-mat.quant-gas

R. E. Barfknecht , A. S. Dehkharghani , A. Foerster , N. T. Zinner This is my paper
classification cond-mat.quant-gas
keywords interactionsresultsanalyticalapproachbosoniccasesdensitiesharmonic
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We make use of a simple pair correlated wave function approach to obtain results for the ground-state densities and momentum distribution of a one-dimensional three-body bosonic system with different interactions in a harmonic trap. For equal interactions this approach is able to reproduce the known analytical cases of zero and infinite repulsion. We show that our results for the correlations agree with the exact diagonalization in all interaction regimes and with analytical results for the strongly repulsive impurity. This method also enables us to access the more complicated cases of mixed interactions, and the probability densities of these systems are analyzed.

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