Dresden 2011 – wissenschaftliches Programm

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A: Fachverband Atomphysik

A 16: Atomic systems in external fields I

A 16.4: Vortrag

Mittwoch, 16. März 2011, 14:45–15:00, BAR 106

Classical approaches to quantum dynamical systems — •Heiko Bauke and Christoph H. Keitel — Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg

Quantum dynamical systems are often investigated by classical or semi-classical approaches. Classical methods are applied when a full quantum mechanical treatment is not feasible. They allow to work in the framework of familiar classical concepts and to investigate the quantum-to-classical transition [1]. However, the limits of classical approaches to quantum dynamical systems are often not very well understood.

In our contribution, we investigate the validity and the limits of the classical trajectory Monte Carlo method [2] by comparing the dynamics of non-interacting classical particles under the evolution of the Liouville equation with the quantum dynamics in phase space under the quantum Liouville equation. Our results allow us to estimate in which setups quantum effects become non-negligible. We show that a modified classical trajectory Monte Carlo method becomes equivalent to the actual quantum dynamics in the limit that all forces are harmonic. This method allows us to study timde-dependent processes in driven many particle quantum systems with harmonic interactions.

[1] Quantum-Classical Correspondence, Josef Bolitschek, Springer, 2004
[2] Proceedings of the Physical Society, 88:861, 1966; Proceedings of the Physical Society, 88:873, 1966