An efficient spectral method for numerical time-dependent perturbation theory
Abstract
We develop the Fourier-Laplace Inversion of the Perturbation Theory (FLIPT), a novel numerically exact “black box” method to compute perturbative expansions of the density matrix with rigorous convergence conditions. Specifically, the FLIPT method is extremely well-suited to simulate multiphoton pulsed laser experiments with complex pulse shapes. The n-dimensional frequency integrals of the nth order perturbative expansion are evaluated numerically using tensor products. The N-point discretized integrals are computed in O(N2) operations, a significant improvement over the O(Nn) scaling of standard quadrature methods.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Oct 08, 2019
- Source ID
- 10.1063/1.5121722
Entities
People
- Cyrille Lavigne
- Paul Brumer
Organizations
- Air Force Office of Scientific Research
- Natural Sciences and Engineering Research Council
- University of Toronto