A density-functional approach to fermionization in the 1D Bose gas

Details A density-functional approach to fermionization in the 1D Bose gas A density-functional approach to fermionization in the 1D Bose gas

2003-11-10

arxiv.org/abs/cond-mat/0311206v2

J. Phys. B: At. Mol. Opt. Phys. 37 (2004) S287-S300

Physics

Condensed Matter

Soft Condensed Matter

15 pages, 3 figures, misprints (of published version) corrected

Scientific paper

10.1088/0953-4075/37/7/073

A time-dependent Kohn-Sham scheme for 1D bosons with contact interaction is derived based on a model of spinor fermions. This model is specifically designed for the study of the strong interaction regime close to the Tonks gas. It allows us to treat the transition from the strongly-interacting Tonks-Girardeau to the weakly-interacting quasicondensate regime and provides an intuitive picture of the extent of fermionization in the system. An adiabatic local-density approximation is devised for the study of time-dependent processes. This scheme is shown to yield not only accurate ground-state properties but also overall features of the elementary excitation spectrum, which is described exactly in the Tonks-gas limit.

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