Abstract The fine-grained uncertainty relation (FUR) is investigated for accelerating open quantum system, which manifests the celebrated Unruh effect, a crucial piece of the jigsaw for combining relativity and quantum physics. For a single detector, we show that the inevitable Unruh decoherence can induce a smaller FUR uncertainty bound, which indicates an additional measurement uncertainty may exist. For an open system combined with two detectors, via a nonlocal retrieval game, the related FUR uncertainty bound is determined by the non-classical correlation of the system. By estimating the maximal violation of Bell inequality for an accelerating system, we show that the FUR uncertainty bound can be protected from Unruh decoherence, due to quantum correlation generated through Markovian dynamics.
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12075178) and the Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2018JM1049).
Corresponding Authors:
Jun Feng
E-mail: j.feng@xjtu.edu.cn
Cite this article:
Shang-Bin Han(韩尚斌), Shuai-Jie Li(李帅杰), Jing-Jun Zhang(张精俊), and Jun Feng(冯俊) Fine-grained uncertainty relation for open quantum system 2021 Chin. Phys. B 30 060315
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