Tuesday, July 24, 2012

1207.5429 (F. F. Bellotti et al.)

Trimer States, Scale-invariance, and Effective Dimensionality    [PDF]

F. F. Bellotti, T. Frederico, M. T. Yamashita, D. V. Fedorov, A. S. Jensen, N. T. Zinner
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 show that, in spite of the presence of two three-body bound states, the two-body contact parameter is universal. We also demonstrate that the momentum distribution at next-to-leading order is vastly different from its three-dimensional counterpart. 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.
View original: http://arxiv.org/abs/1207.5429

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