The Dilute Bose Gas in 2D

Anna Posazhennikova

Pavlo Konietin, V. Pastukhov

William J. Mullin, Markus Holzmann, Franck Laloë

William R. Minor

A calculation of the ground-state energy per particle of two-dimensional (2D) dilute quantum gases is given. The method of calculation is based on the free t-matrix approach and the phase shifts associated with 2D scattering. The continuous interpolation of energy from a Fermi to a Bose gas via the anyon gas is demonstrated both for particles undergoing hard-disk repulsions and for noninteracting gases subject to the statistical interaction alone.

Marcin Napiórkowski, Robin Reuvers, J. P. Solovej

Following an earlier calculation in 3D, we calculate the 2D critical temperature of a dilute, translation-invariant Bose gas using a variational formulation of the Bogoliubov approximation introduced by Critchley and Solomon in 1976. This provides the first analytical calculation of the Kosterlitz-Thouless transition temperature that includes the constant in the logarithm.