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Non-ideal Boson system in the Gaussian approximation

Paolo Tommasini·A. F. R. de Toledo Piza
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Abstract

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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Paolo Tommasini, A. F. R. de Toledo Piza. 1996-09-05. Non-ideal Boson system in the Gaussian approximation. https://doi.org/10.1006/aphy.1997.5625

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