Quantum suppression of chaotic tunnelling Export

@article{citeulike:4866237, abstract = {The interplay between chaotic tunnelling and dynamical localization in mixed phase space is investigated. Semiclassical analysis using complex classical orbits reveals that tunnelling through torus regions and transport in chaotic regions are not independent processes, rather they are strongly correlated and described by complex orbits with both properties. This predicts a phenomenon analogous to the quantum suppression of classical diffusion: chaotic tunnelling is suppressed as a result of dynamical localization in chaotic regions. This hypothesis is confirmed by numerical experiments where the effect of destructive interference is attenuated.}, author = {Ishikawa, Akiyuki and Tanaka, Atushi and Shudo, Akira}, citeulike-article-id = {4866237}, citeulike-linkout-0 = {http://dx.doi.org/10.1088/1751-8113/40/21/F01}, comment = {eprint: http://arxiv.org/abs/0707.4062}, doi = {10.1088/1751-8113/40/21/F01}, journal = {Journal of Physics A: Mathematical and Theoretical}, keywords = {chaos, localization, quantum, tunnel}, number = {21}, pages = {F397--F405}, posted-at = {2009-06-16 08:24:38}, priority = {0}, title = {Quantum suppression of chaotic tunnelling}, url = {http://dx.doi.org/10.1088/1751-8113/40/21/F01}, volume = {40}, year = {2007} }

TY - JOUR ID - citeulike:4866237 L3 - citeulike-article-id:4866237 N2 - The interplay between chaotic tunnelling and dynamical localization in mixed phase space is investigated. Semiclassical analysis using complex classical orbits reveals that tunnelling through torus regions and transport in chaotic regions are not independent processes, rather they are strongly correlated and described by complex orbits with both properties. This predicts a phenomenon analogous to the quantum suppression of classical diffusion: chaotic tunnelling is suppressed as a result of dynamical localization in chaotic regions. This hypothesis is confirmed by numerical experiments where the effect of destructive interference is attenuated. IS - 21 JF - Journal of Physics A: Mathematical and Theoretical EP - F405 TI - Quantum suppression of chaotic tunnelling VL - 40 SP - F397 KW - chaos KW - localization KW - quantum KW - tunnel N1 - eprint: http://arxiv.org/abs/0707.4062 AU - Ishikawa, Akiyuki AU - Tanaka, Atushi AU - Shudo, Akira PY - 2007/// UR - http://dx.doi.org/10.1088/1751-8113/40/21/F01 ER -