https://doi.org/10.1140/epjb/e2002-00242-6
Ground state pressure and energy density of an interacting homogeneous Bose gas in two dimensions
Institute for Theoretical Physics, University of Utrecht,
Leuvenlaan 4, 3584 CE Utrecht, The Netherlands
Corresponding author: a andersen@phys.uu.nl
Received:
19
April
2002
Published online:
13
August
2002
We consider an interacting homogeneous
Bose gas at zero temperature in two spatial dimensions.
The properties of the system can be calculated as an expansion in powers of
g, where g is the coupling constant.
We calculate the ground state
pressure and the ground state
energy density to second order in the quantum loop expansion.
The renormalization group
is used to sum up leading and subleading logarithms from all orders
in perturbation theory.
In the dilute limit, the renormalization group improved
pressure and energy density are expansions in powers
of the and
, respectively, where
is the two-body T-matrix.
PACS: 03.75.Fi – Phase coherent atomic ensembles; quantum condensation phenomena / 05.45.Ac – Low-dimensional chaos
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002