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arXiv · 0711.1674

Kicked rotor quantum resonances in position space

Maxence Lepers·Véronique Zehnlé·Jean Claude Garreau
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Abstract

We present an approach of the kicked rotor quantum resonances in position-space, based on its analogy with the optical Talbot effect. This approach leads to a very simple picture of the physical mechanism underlying the dynamics and to analytical expressions for relevant physical quantities, such as mean momentum or kinetic energy. The ballistic behavior, which is closely associated to quantum resonances, is analyzed and shown to emerge from a coherent adding of successive kicks applied to the rotor thanks to a periodic reconstruction of the spatial wavepacket.

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Maxence Lepers, Véronique Zehnlé, Jean Claude Garreau. 2007-11-11. Kicked rotor quantum resonances in position space. https://doi.org/10.1103/physreva.77.043628

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