Localization and Delocalization phenomena in polychromatically perturbed kicked Anderson model
DOI:
https://doi.org/10.51094/jxiv.154Keywords:
Quantum transport, disordered solids, Anderson localization, Quantum chaos, localized states, scaling theory, critical phenomenonAbstract
1D量子Anderson map (kicked Anderson model) を用い、ノイズや熱浴などのない少数個のモードからなるコヒーレントな摂動による量子ダイナミックスの非局在化現象を調べる。特に、モード数（色数）M に関する局在・非局在転移に関する臨界現象における拡散指数αや空間指数βの変化を示す。臨界点での局在長（相関長）の発散を特徴づける臨界指数νのM依存性は、平均場理論や修正された半古典理論の結果から有意にズレるように見えることが示される。また、臨界摂動強度ϵc はモード数に対してϵc ∼ (M − 1)−1 と減衰する。
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