F. Bellotti, F.3; Frederico, T.2; T. Yamashita, M.2; V. Fedorov, D.3; S. Jensen, A.3; Zinner, Nikolaj Thomas3
1 Department of Physics and Astronomy, Science and Technology, Aarhus University2 unknown3 Department of Physics and Astronomy, Science and Technology, Aarhus University
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.
Physical Review a (atomic, Molecular and Optical Physics), 2013, Vol 87, Issue 1