Qiong Li, Daoguang Tu, Dingping Li
In this paper, we study the homogeneous one-dimensional bosonic gas
interacting via a repulsive contact potential by using the improved Gaussian
approximation. We obtain the gapless excitation spectrum of Bogoliubov mode.
Our result is in good agreement with the exact numerical calculation based on
the Bethe ansatz. We speculate that the improved Gaussian approximation could
be a quantitatively good approximation for higher dimensional systems.
View original:
http://arxiv.org/abs/1202.5355
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