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arXiv · 0802.1310

Quantum Localization in Open Chaotic Systems

Jung-Wan Ryu·G. Hur·Sang Wook Kim
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Abstract

We study a quasi-Floquet state of a $δ$-kicked rotor with absorbing boundaries focusing on the nature of the dynamical localization in open quantum systems. The localization lengths $ξ$ of lossy quasi-Floquet states located near the absorbing boundaries decrease as they approach the boundary while the corresponding decay rates $Γ$ are dramatically enhanced. We find the relation $ξ\sim Γ^{-1/2}$ 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.

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Jung-Wan Ryu, G. Hur, Sang Wook Kim. 2008-02-10. Quantum Localization in Open Chaotic Systems. https://doi.org/10.1103/physreve.78.037201

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