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Rapid mixing and stability of quantum dissipative systems

机译:量子耗散系统的快速混合和稳定性

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摘要

The physics of many materials is modeled by quantum many-body systems with local interactions. If the model of the system is sensitive to noise from the environment, or small perturbations to the original interactions, it will not properly model the robustness of the real physical system it aims to describe, or be useful when engineering novel systems for quantum information processing. We show that local observables and correlation functions of local Liouvillians are stable to local perturbations if the dynamics is rapidly mixing and has a unique fixed point. No other condition is required.
机译:许多材料的物理学是通过具有局部相互作用的量子多体系统建模的。如果系统的模型对环境噪声或对原始相互作用的微小扰动敏感,那么它将无法正确地建模其要描述的真实物理系统的鲁棒性,或者在设计用于量子信息处理的新型系统时将很有用。我们显示,如果动力学迅速混合并具有唯一的不动点,则局部Liouvillians的局部可观性和相关函数对于局部扰动是稳定的。不需要其他条件。

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