Dimensional Effects on the Momentum distribution of Bosonic Trimer States
arXiv:1207.5429 · doi:10.1103/PhysRevA.87.013610
Abstract
The momentum distribution is a powerful probe of strongly-interacting systems that are expected to display universal behavior. This is contained in the contact parameters which relate few- and many-body properties. Here we consider a Bose gas in two dimensions and explicitly show that the two-body contact parameter is universal and then demonstrate that the momentum distribution at next-to-leading order has a logarithmic dependence on momentum which is vastly different from the three-dimensional case. Based on this, we propose a scheme for measuring the effective dimensionality of a quantum many-body system by exploiting the functional form of the momentum distribution.
arXiv comment8 pages, 5 figures, final version
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