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

Joachim Brand

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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.


PACS

05.30.Jp Boson systems

Subjects

Quantum gases, liquids and solids

Statistical physics and nonlinear systems

Dates

Issue 7 (14 April 2004)

Received 9 November 2003

Published 24 March 2004



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