Quantum walk in stochastic environment

被引：0
作者：
Avnit B. [1 ]
Cohen D. [1 ]
机构：
[1] Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva
来源：
Physical Review E | 2023年 / 108卷 / 05期
基金：
以色列科学基金会;
关键词：
D O I：
10.1103/PhysRevE.108.054111
中图分类号：
学科分类号：
摘要：
We consider a quantized version of the Sinai-Derrida model for "random walk in random environment."The model is defined in terms of a Lindblad master equation. For a ring geometry (a chain with periodic boundary condition) it features a delocalization-transition as the bias in increased beyond a critical value, indicating that the relaxation becomes underdamped. Counterintuitively, the effective disorder is enhanced due to coherent hopping. We analyze in detail this enhancement and its dependence on the model parameters. The nonmonotonic dependence of the Lindbladian spectrum on the rate of the coherent transitions is highlighted. © 2023 American Physical Society.
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