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Dimensional crossover in a Fermi gas and a cross-dimensional Tomonaga-Luttinger model

Dimensional crossover in a Fermi gas and a cross-dimensional Tomonaga-Luttinger model

We describe the dimensional crossover in a noninteracting Fermi gas in an anisotropic trap, obtained by populating various transverse modes of the trap. We study the dynamical structure factor and drag force. Starting from a dimension $d$, the $(d+1)$-dimensional case is obtained to a good approximation with relatively few modes. …