Quantum chaos and the double-slit experiment

Details Quantum chaos and the double-slit experiment Quantum chaos and the double-slit experiment

2004-03-18

arxiv.org/abs/nlin/0403038v1

Nonlinear Sciences

Chaotic Dynamics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevA.72.032111

We report on the numerical simulation of the double-slit experiment, where the initial wave-packet is bounded inside a billiard domain with perfectly reflecting walls. If the shape of the billiard is such that the classical ray dynamics is regular, we obtain interference fringes whose visibility can be controlled by changing the parameters of the initial state. However, if we modify the shape of the billiard thus rendering classical (ray) dynamics fully chaotic, the interference fringes disappear and the intensity on the screen becomes the (classical) sum of intensities for the two corresponding one-slit experiments. Thus we show a clear and fundamental example in which transition to chaotic motion in a deterministic classical system, in absence of any external noise, leads to a profound modification in the quantum behaviour.

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