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Issue 22, 2009
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Time-dependent current-density functional theory for generalized open quantum systems

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Abstract

In this article, we prove the one-to-one correspondence between vector potentials and particle and current densities in the context of master equations with arbitrary memory kernels, therefore extending time-dependent current-density functional theory (TD-CDFT) to the domain of generalized many-body open quantum systems (OQS). We also analyse the issue of A-representability for the Kohn–Sham (KS) scheme proposed by D’Agosta and Di Ventra for Markovian OQS [Phys. Rev. Lett. 2007, 98, 226403] and discuss its domain of validity. We suggest ways to expand their scheme, but also propose a novel KS scheme where the auxiliary system is both closed and non-interacting. This scheme is tested numerically with a model system, and several considerations for the future development of functionals are indicated. Our results formalize the possibility of practising TD-CDFT in OQS, hence expanding the applicability of the theory to non-Hamiltonian evolutions.

Graphical abstract: Time-dependent current-density functional theory for generalized open quantum systems

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Publication details

The article was received on 13 Feb 2009, accepted on 31 Mar 2009 and first published on 11 May 2009


Article type: Paper
DOI: 10.1039/B903064F
Citation: Phys. Chem. Chem. Phys., 2009,11, 4509-4522
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    Time-dependent current-density functional theory for generalized open quantum systems

    J. Yuen-Zhou, C. Rodríguez-Rosario and A. Aspuru-Guzik, Phys. Chem. Chem. Phys., 2009, 11, 4509
    DOI: 10.1039/B903064F

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