Quantum Localization in Open Chaotic Systems
arXiv:0802.1310 · doi:10.1103/PhysRevE.78.037201
Abstract
We study a quasi-Floquet state of a -kicked rotor with absorbing boundaries focusing on the nature of the dynamical localization in open quantum systems. The localization lengths of lossy quasi-Floquet states located near the absorbing boundaries decrease as they approach the boundary while the corresponding decay rates are dramatically enhanced. We find the relation and explain it based upon the finite time diffusion, which can also be applied to a random unitary operator model. We conjecture that this idea is valid for the system exhibiting both the diffusion in classical dynamics and the exponential localization in quantum mechanics.
4 pages, 4 figures
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