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arXiv · 1207.5429

Dimensional Effects on the Momentum distribution of Bosonic Trimer States

F. F. Bellotti·T. Frederico·M. T. Yamashita·D. V. Fedorov·A. S. Jensen·N. T. Zinner
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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.

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F. F. Bellotti, T. Frederico, M. T. Yamashita, D. V. Fedorov, A. S. Jensen, N. T. Zinner. 2013-01-11. Dimensional Effects on the Momentum distribution of Bosonic Trimer States. https://doi.org/10.1103/physreva.87.013610

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