2012/08/22 by S. E. B. Nielsen, Michael Ruggenthaler, M. Ruggenthaler +2 · 1 citation
Mathematics · Physics and Astronomy · #Adiabatic process #Advanced Chemical Physics Studies #Algorithm #Computer science #Construct (python library) #Mathematics #Physics #Quantum #Quantum mechanics #Quantum system #Quantum, superfluid, helium dynamics #Spectroscopy and Quantum Chemical Studies #State (computer science) #State dependent #Statistical physics #cond-mat.mtrl-sci #cond-mat.str-el
paper · pdf · doi:10.1209/0295-5075/101/33001
published as Europhys. Lett. 101, 33001 (2013) · 5 pages, 3 figures
arxiv created 2012/08/22 · openalex publication_date 2013/02/01 · arxiv updated 2013/02/14 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
We present a local control scheme to construct the external potential v that, for a given initial state, produces a prescribed time-dependent density in an interacting quantum many-body system. This numerical method is efficient and stable even for large and rapid density variations irrespective of the initial state and the interactions. It can at the same time be used to answer fundamental v -representability questions in density functional theory. In particular, in the absence of interactions, it allows us to construct the exact time-dependent Kohn-Sham potential for arbitrary initial states. We illustrate the method in a correlated one-dimensional two-electron system with different interactions, initial states and densities. For a Kohn-Sham system with a correlated initial state we demonstrate the interplay between memory and initial-state dependence as well as the failure of any adiabatic approximation.