| Centre de mathématiques Laurent Schwartz |  |
Journal articles
On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime
Abstract : By using the pseudo-metric introduced in [F. Golse, T. Paul: Archive for Rational Mech. Anal. 223 (2017) 57-94], which is an analogue of the Wasserstein distance of exponent 2 between a quantum density operator and a classical (phase-space) density, we prove that the convergence of time splitting algorithms for the von Neumann equation of quantum dynamics is uniform in the Planck constant $\hbar$. We obtain explicit uniform in $\hbar$ error estimates for the first order Lie-Trotter, and the second order Strang splitting methods.
Cited literature [22 references]
https://hal-polytechnique.archives-ouvertes.fr/hal-02567952
Contributor : François Golse <>
Submitted on : Friday, May 8, 2020 - 10:43:52 AM
Last modification on : Tuesday, December 8, 2020 - 3:45:06 AM
Contributor : François Golse <>
Submitted on : Friday, May 8, 2020 - 10:43:52 AM
Last modification on : Tuesday, December 8, 2020 - 3:45:06 AM