Journal
PHYSICAL REVIEW A
Volume 91, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.91.023412
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Funding
- FWF doctoral school Solids4Fun [FWF SFB-041 ViCoM, FWF SFB-049 Next Lite]
- JSPS (Japan) [23750007, 23656043, 25286064, 26390076, 26600111]
- Photon Frontier Network Program of MEXT (Japan)
- Center of Innovation Program from JST (Japan)
- Grants-in-Aid for Scientific Research [26390076, 23656043, 25286064, 26600111, 23750007] Funding Source: KAKEN
- Austrian Science Fund (FWF) [W1243] Funding Source: Austrian Science Fund (FWF)
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Describing time-dependent many-body systems where correlation effects play an important role remains a major theoretical challenge. In this paper we develop a time-dependent many-body theory that is based on the two-particle reduced density matrix (2-RDM). We present a closed equation of motion for the 2-RDM by developing a reconstruction functional for the three-particle reduced density matrix (3-RDM) that preserves norm, energy, and spin symmetries during time propagation. We show that approximately enforcing N-representability during time evolution is essential for achieving stable solutions. As a prototypical test case which features long-range Coulomb interactions we employ the one-dimensional model for lithium hydride (LiH) in strong infrared laser fields. We probe both one-particle observables such as the time-dependent dipole moment and two-particle observables such as the pair density and mean electron-electron interaction energy. Our results are in very good agreement with numerically exact solutions for the N-electron wave function obtained from the multiconfigurational time-dependent Hartree-Fock method.
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