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

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Cited by in corpus (19)

• Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
• One-dimensional mixtures of several ultracold atoms: a review
• Pathway from condensation via fragmentation to fermionization of cold bosonic systems
• Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
• Topological Winding and Unwinding in Metastable Bose-Einstein Condensates
• Dynamics of shallow dark solitons in a trapped gas of impenetrable bosons
• Collective oscillations of one-dimensional Bose-Einstein gas in a time-varying trap potential and atomic scattering length
• The Dynamic Structure Factor of the 1D Bose Gas near the Tonks-Girardeau Limit
• Gap solitons in a model of a superfluid fermion gas in optical lattices
• Density-functional theory of two-component Bose gases in one-dimensional harmonic traps
• Low-dimensional weakly interacting Bose gases: non-universal equations of state
• A density-functional approach to fermionization in the 1D Bose gas
• Density functional theory for strongly-correlated bosonic and fermionic ultracold dipolar and ionic gases
• Self-consistent calculation of the coupling constant in the Gross-Pitaevskii equation
• Density-functional theory for 1D harmonically trapped Bose-Fermi mixture
• Finite-Temperature Density-Functional Theory of Bose-Einstein Condensates
• Density-functional theory for the spin-1 bosons in a one-dimensional harmonic trap
• Perturbative correction to the ground state properties of one-dimensional strongly interacting bosons in a harmonic trap
• Gradient corrections to the local density approximation in the one-dimensional Bose gas