Transport phenomena in the asymmetric quantum multibaker map
arXiv:0707.4508 · doi:10.1103/PhysRevE.77.011126
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.
5 pages, 3 figures. Accepted version, minor changes, Journal-ref added