Comparative study of semiclassical approaches to quantum dynamics

Details Comparative study of semiclassical approaches to quantum dynamics Comparative study of semiclassical approaches to quantum dynamics

2008-10-23

arxiv.org/abs/0810.4302v2

Int. J. Mod. Phys. C, Vol. 20, 1155 (2009)

Physics

Quantum Physics

32 pages, 8 figures, corrected typos and added references; version as published

Scientific paper

10.1142/S0129183109014278

Quantum states can be described equivalently by density matrices, Wigner functions or quantum tomograms. We analyze the accuracy and performance of three related semiclassical approaches to quantum dynamics, in particular with respect to their numerical implementation. As test cases, we consider the time evolution of Gaussian wave packets in different one-dimensional geometries, whereby tunneling, resonance and anharmonicity effects are taken into account. The results and methods are benchmarked against an exact quantum mechanical treatment of the system, which is based on a highly efficient Chebyshev expansion technique of the time evolution operator.

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