Non-ideal Boson system in the Gaussian approximation

Details Non-ideal Boson system in the Gaussian approximation Non-ideal Boson system in the Gaussian approximation

1996-09-05

arxiv.org/abs/cond-mat/9609059v1

Physics

Condensed Matter

28 pages,5 figures to be published in Ann. of Phys

Scientific paper

10.1006/aphy.1997.5625

We investigate ground-state and thermal properties of a system of non-relativistic bosons interacting through repulsive, two-body interactions in a self-consistent gaussian mean-field approximation wich consists in writing the variational determined density operator as the most general gaussian functional of the quantized field operators. Finite temperature results are obtained in a grand canonical framework. Contact is made with the results of Lee,Yang and Huang in terms of a particular truncations of the gaussian approximation. The full gaussian approximation supports a free phase or a thermodynamically unstable phase when contact forces and a standard renormalization scheme are used. When applied to a Hamiltonian with zero range forces interpreted as an effective theory with a high momentum cut-off, the full gaussian approximation generates a quasi-particle spectrum having an energy gap.

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