| We study the characteristics of dynamical localization in a delta-kicked rotor, an analogue of Anderson model in disordered systems, with absorbing boundaries. The localization lengths of lossy quasi-Floquet states located near the absorbing boundaries decreases as they approach the boundary while the corresponding decay rates are dramatically enhanced. We find the localization length is inversely proportional to the square root of the decay rate and explain it based upon the finite time diffusion. By using random unitary operator model, we reconfirm that this idea can be applied to other systems exhibiting both the diffusion in classical dynamics and the exponential localization in quantum mechanics. |
|