2002/06/10 by Igor Zozoulenko, I. V. Zozoulenko, T. Blomquist
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.67.085320
5 pages, 4 figures
arxiv created 2002/06/10 · openalex publication_date 2003/02/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We perform numerical studies of wave packet propagation through open quantum billiards whose classical counterparts exhibit regular and chaotic dynamics. We show that for t\ensuremath\lesssim\ensuremathτH(\ensuremathτH being the Heisenberg time), the features in the transmitted and reflected currents are directly related to specific classical trajectories connecting the billiard leads. When t\ensuremath\gtrsim\ensuremathτH, the calculated quantum-mechanical current starts to deviate from its classical counterpart, with the decay rate obeying a power law that depends on the number of decay channels. In a striking contrast to the classical escape from chaotic and regular systems (exponentially fast e^\ensuremath-\ensuremathγt for the former versus power-law t^\ensuremath-\ensuremathξ for the latter), the asymptotic decay of the corresponding quantum systems does not show a qualitative difference.