Transport phenomena in the asymmetric quantum multibaker map

Details Transport phenomena in the asymmetric quantum multibaker map Transport phenomena in the asymmetric quantum multibaker map

2007-07-31

arxiv.org/abs/0707.4508v3

Phys. Rev. E 77, 011126 (2008)

Physics

Quantum Physics

5 pages, 3 figures. Accepted version, minor changes, Journal-ref added

Scientific paper

10.1103/PhysRevE.77.011126

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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