Abstract:For a harmonically trapped system consisting of two bosons in one spatial dimension with infinite contact repulsion (hard core bosons), we derive an expression for the one-body density matrix ρB in terms of centre of mass and relative coordinates of the particles. The deviation from ρF , the density matrix for the two fermions case, can be clearly identified. Moreover, the obtained ρB allows us to derive a closed form expression of the corresponding momentum distribution nB(p). We show how the result deviates … Show more
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