Simple theoretical tools for low dimension Bose gases

Details Simple theoretical tools for low dimension Bose gases Simple theoretical tools for low dimension Bose gases

2004-07-06

arxiv.org/abs/cond-mat/0407118v2

Quantum Gases in Low Dimensions, J. Phys. IV France, 116 (2004) 89

Physics

Condensed Matter

Other Condensed Matter

lecture notes of Les Houches school on low dimensional quantum gases (April 2003)

Scientific paper

We first consider an exactly solvable classical field model to understand the coherence properties and the density fluctuations of a one-dimensional (1D) weakly interacting degenerate Bose gas with repulsive interactions at temperatures larger than the chemical potential. In a second part, using a lattice model for the quantum field, we explain how to carefully generalize the usual Bogoliubov approach to study a degenerate and weakly interacting Bose gas in 1D, 2D or 3D in the regime of weak density fluctuations. In the last part, using the mapping to an ideal Fermi gas in second quantized formalism, we calculate and discuss physically the density fluctuations and the coherence properties of a gas of impenetrable bosons in 1D.

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