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

Abstract

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.

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

References in corpus (1)

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

Cited by in corpus (4)

• Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
• The Dynamic Structure Factor of the 1D Bose Gas near the Tonks-Girardeau Limit
• A density-functional approach to fermionization in the 1D Bose gas
• Self-consistent calculation of the coupling constant in the Gross-Pitaevskii equation