Integrators for quantum dynamics: a numerical analyst’s brief review

Abstract

This note, written for the NIC Winter School ”Quantum Simulations of Complex Many-Body Systems: From Theory to Algorithms”, discusses and compares – in theoretical respects – various old and new approaches to numerical time integration for quantum dynamics: implicit vs. exponential midpoint rule; splitting, Chebyshev and Lanczos approximations to the… (More)

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