1995/05/31 by E. Doron, Eyal Doron, Steffen D. Frischat · 1 citation
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #chao-dyn #cond-mat #nlin.CD
paper · pdf · doi:10.1103/physrevlett.75.3661
published as Phys. Rev. Lett. 75, 3661 (1995). · 4 pages, uuencoded postscript file, replaces a corrupted version
arxiv created 1995/09/20 · openalex publication_date 1995/11/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study quantum-mechanical tunneling between symmetry-related pairs of regular phase space regions that are separated by a chaotic layer. We consider the annular billiard, and use scattering theory to relate the splitting of quasidegenerate states quantized on the two regular regions to specific paths connecting them. The tunneling amplitudes involved are given a semiclassical interpretation by extending the billiard boundaries to complex space and generalizing specular reflection to complex rays. We give analytical expressions for the splittings, and show that the dominant contributions come from chaos-assisted paths that tunnel into and out of the chaotic layer.