Repository: Freie Universität Berlin, Math Department

Trigonometric pulse envelopes for laser-induced quantum dynamics

Barth, I. and Lasser, C. (2009) Trigonometric pulse envelopes for laser-induced quantum dynamics. J. Phys. B: At. Mol. Opt. Phys., 42 (23). p. 235101.


Official URL:


We relate powers of trigonometric functions to Gaussians by proving that properly truncated cosn functions converge to a Gaussian as n tends to infinity. For an application, we analyse the laser-induced population transfer |X1Σ+ → |A1Πx in a two-level model system of aluminium monochloride (AlCl) with fixed nuclei. We apply linearly x-polarized ultraviolet laser pulses with a trigonometric envelope function, whose square has full width at half-maximum of 2.5 fs and 5.0 fs. Studying population dynamics and optimized laser parameters, we find that the optimal field amplitude for trigonometric pulses with n = 20 and n = 1000 has a relative difference of 1%, which is below experimental resolution.

Item Type:Article
Subjects:Physical Sciences > Physics > Mathematical & Theoretical Physics > Quantum Mechanics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:899
Deposited By: Burkhard Schmidt
Deposited On:29 Apr 2010 07:36
Last Modified:03 Mar 2017 14:40

Repository Staff Only: item control page