Recovery of chaotic tunneling due to destruction of dynamical localization by external noise Export

@article{citeulike:5913571, abstract = {Quantum tunneling in the presence of chaos is analyzed, focusing especially on the interplay between quantum tunneling and dynamical localization. We observed flooding of potentially existing tunneling amplitude by adding noise to the chaotic sea to attenuate the destructive interference generating dynamical localization. This phenomenon is related to the nature of complex orbits describing tunneling between torus and chaotic regions. The tunneling rate is found to obey a perturbative scaling with noise intensity when the noise intensity is sufficiently small and then saturate in a large noise intensity regime. A relation between the tunneling rate and the localization length of the chaotic states is also demonstrated. It is shown that due to the competition between dynamical tunneling and dynamical localization, the tunneling rate is not a monotonically increasing function of Planck's constant. The above results are obtained for a system with a sharp border between torus and chaotic regions. The validity of the results for a system with a smoothed border is also explained.}, author = {Ishikawa, Akiyuki and Tanaka, Atushi and Shudo, Akira}, citeulike-article-id = {5913571}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000080000004046204000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v80/e046204}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/PhysRevE.80.046204}, comment = {Preprint version is available as http://arxiv.org/abs/0910.1163 }, doi = {10.1103/PhysRevE.80.046204}, journal = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}, keywords = {chaos, localization, tunnel}, number = {4}, pages = {046204+}, posted-at = {2009-10-09 02:21:52}, priority = {0}, publisher = {APS}, title = {Recovery of chaotic tunneling due to destruction of dynamical localization by external noise}, url = {http://dx.doi.org/10.1103/PhysRevE.80.046204}, volume = {80}, year = {2009} }

TY - JOUR ID - citeulike:5913571 L3 - citeulike-article-id:5913571 N2 - Quantum tunneling in the presence of chaos is analyzed, focusing especially on the interplay between quantum tunneling and dynamical localization. We observed flooding of potentially existing tunneling amplitude by adding noise to the chaotic sea to attenuate the destructive interference generating dynamical localization. This phenomenon is related to the nature of complex orbits describing tunneling between torus and chaotic regions. The tunneling rate is found to obey a perturbative scaling with noise intensity when the noise intensity is sufficiently small and then saturate in a large noise intensity regime. A relation between the tunneling rate and the localization length of the chaotic states is also demonstrated. It is shown that due to the competition between dynamical tunneling and dynamical localization, the tunneling rate is not a monotonically increasing function of Planck's constant. The above results are obtained for a system with a sharp border between torus and chaotic regions. The validity of the results for a system with a smoothed border is also explained. IS - 4 JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) TI - Recovery of chaotic tunneling due to destruction of dynamical localization by external noise PB - APS VL - 80 SP - 046204 KW - chaos KW - localization KW - tunnel N1 - Preprint version is available as http://arxiv.org/abs/0910.1163 AU - Ishikawa, Akiyuki AU - Tanaka, Atushi AU - Shudo, Akira PY - 2009/// UR - http://dx.doi.org/10.1103/PhysRevE.80.046204 ER -