Time-dependent occupation numbers in reduced-density-matrix-functional theory: Application to an interacting Landau-Zener model

Ryan Requist, Oleg Pankratov

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that if the two-body terms in the equation of motion for the one-body reduced density matrix are approximated by ground-state functionals, the eigenvalues of the one-body reduced density matrix (occupation numbers) remain constant in time. This deficiency is related to the inability of such an approximation to account for relative phases in the two-body reduced density matrix. We derive an exact differential equation giving the functional dependence of these phases in an interacting Landau-Zener model and study their behavior in short- and long-time regimes. The phases undergo resonances whenever the occupation numbers approach the boundaries of the interval [0,1]. In the long-time regime, the occupation numbers display correlation-induced oscillations and the memory dependence of the functionals assumes a simple form.

Original languageAmerican English
Article number052510
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume83
Issue number5
DOIs
StatePublished - 18 May 2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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