Hannover 2016 – wissenschaftliches Programm
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A: Fachverband Atomphysik
A 21: Interaction with strong or short laser pulses
A 21.13: Poster
Dienstag, 1. März 2016, 16:30–19:00, Empore Lichthof
The orbital-truncation error in TDRNOT — •Felix Steinmeyer, Julius Rapp, and Dieter Bauer — Universität Rostock
In time-dependent renormalized-natural-orbital theory (TDRNOT), the complete and generally infinite basis of natural orbitals (NOs) is used to derive equations of motion (EOM) for few-body systems [1,2]. In the case of two particles, the exact EOM of the NOs are known explicitly. However, numerical calculations require a truncation of the number of NOs to a finite value No. This truncation introduces an error to the method which may spoil the (nonlinear) NO time evolution [3,4].
We analyze the impact of the truncation error by comparing the exact NOs with the NO subset of TDRNOT calculations considering exactly solvable model systems.
Furthermore, we discuss our efforts in constructing an effective potential which mimics the effect of the omitted NOs on a mean-field level.
[1] M. Brics and D. Bauer, Phys. Rev. A 88, 052514 (2013)
[2] J. Rapp, M. Brics, and D. Bauer, Phys. Rev. A 90, 012518 (2014)
[3] M. Brics, J. Rapp, and D. Bauer, Phys. Rev. A 90, 053418 (2014)
[4] M. Brics, J. Rapp, and D. Bauer, arXiv:1510.01682 (2015)