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29 March 2024
 
  » arxiv » quant-ph/9702045

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Exact Solution Versus Gaussian Approximation for a Non-Ideal Bose Gas in One-Dimension
P.R.I. Tommasini ; P.L. Natti ; E.R. Takano Natti ; A.F.R. de Toledo Piza ; C.-Y. Lin ;
Date 21 Feb 1997
Subject quant-ph
AffiliationInst. for Theoretical Atomic and Molecular Physics), P.L. Natti (Univ. Estadual de Londrina), E.R. Takano Natti (Univ. do Norte do Parana), A.F.R. de Toledo Piza and C.-Y. Lin (Univ. de Sao Paulo
AbstractWe investigate ground-state and excitation spectrum of a system of non-relativistic bosons in one-dimension interacting through repulsive, two-body contact interactions in a self-consistent Gaussian mean-field approximation. The method consists in writing the variationally determined density operator as the most general Gaussian functional of the quantized field operators. There are mainly two advantages in working with one-dimension. First, the existence of an exact solution for the ground-state and excitation energies. Second, neither in the perturbative results nor in the Gaussian approximation itself we do not have to deal with the three-dimensional patologies of the contact interaction . So that this scheme provides a clear comparison between these three different results.
Source arXiv, quant-ph/9702045
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