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arXiv · 0707.4508

Transport phenomena in the asymmetric quantum multibaker map

Leonardo Ermann·Gabriel G. Carlo·Marcos Saraceno
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Abstract

By studying a modified (unbiased) quantum multibaker map, we were able to obtain a {\em finite} asymptotic quantum current without a classical analogue. This result suggests a general method for the design of {\em purely} quantum ratchets, and sheds light on the investigation of the mechanisms leading to net transport generation by breaking symmetries of quantum systems. Moreover, we propose the multibaker map as a resource to study directed transport phenomena in chaotic systems without bias. In fact, this is a paradigmatic model in classical and quantum chaos, but also in statistical mechanics.

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Leonardo Ermann, Gabriel G. Carlo, Marcos Saraceno. 2008-01-31. Transport phenomena in the asymmetric quantum multibaker map. https://doi.org/10.1103/physreve.77.011126

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