Current-density functional theory of time-dependent linear response in quantal fluids: recent progress

TL;DR

This paper reviews recent advances in current-density functional theory for time-dependent linear response in quantum fluids, extending the theory to Bose superfluids and presenting computational results for exchange-correlation spectra.

Contribution

It introduces a generalized approach to time-dependent response in quantum fluids, applying the theory to both electron systems and superfluid bosons with new computational insights.

Findings

Exchange-correlation spectra computed for electron and boson systems.

Extension of the theory to inhomogeneous Bose superfluids.

Application of dynamic Kohn-Sham equations in superfluid response.

Abstract

Vignale and Kohn have recently formulated a local density approximation to the time-dependent linear response of an inhomogeneous electron system in terms of a vector potential for exchange and correlation. The vector potential depends on the induced current density through spectral kernels to be evaluated on the homogeneous electron-gas. After a brief review of their theory, the case of inhomogeneous Bose superfluids is considered, with main focus on dynamic Kohn-Sham equations for the condensate in the linear response regime and on quantal generalized hydrodynamic equations in the weak inhomogeneity limit. We also present the results of calculations of the exchange-correlation spectra in both electron and superfluid boson systems.