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Local-in-time Error in Variational Quantum Dynamics by Martinazzo, Rocco; Burghardt, Irene is a scholarly article available to read on EtoBox.

What is Local-in-time Error in Variational Quantum Dynamics about?

The McLachlan "minimum-distance" principle for optimizing approximate solutions of the time-dependent Schrodinger equation is revisited, with a focus on the local-in-time error accompanying the variational solutions. Simple, exact expressions are provided for this error, which are then evaluated in illustrative cases, notably the widely used mean-field approach and the adiabatic quantum molecular dynamics. These findings pave the way for the rigorous development of adaptive schemes that re-size on-the-fly the underlying variational manifold and thus optimize the overall computational cost of a quantum dynamical simulation.

Author

Martinazzo, Rocco; Burghardt, Irene

Published

2019

Language

EN