发表机构
Department of Physics, Liaoning Normal University（辽宁师范大学物理学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究在连续变量框架下分析de Sitter空间中高斯三体导引的特性，发现其曲率可削弱、再分布并生成多体导引，且三体导引比二体更具鲁棒性。
AI 中文摘要
我们在连续变量框架内研究de Sitter空间中高斯三体量子导引的再分布与方向特性。通过Bogoliubov变换将Bunch-Davies真空表示为开图模式，我们推导了所得多体高斯态的协方差矩阵，并分析了一对一及一对二的导引构型。我们发现，de Sitter曲率通常会抑制可及模式间初始共享的导引，但其影响强烈依赖于导引方向。特别地，部分导引构型在有限曲率下会发生突然死亡，而朝向非引力模式的二对一导引在所考虑的整个参数范围内保持有限，展现出三体导引相较于其二体对应物所不具备的鲁棒性。值得注意的是，最大导引不对称性出现在某一临界节点，此时某一方向的导引发生突然死亡，标志着从双向导引向单向导引的转变。我们进一步证明，de Sitter引力场可生成包含被宇宙视界分隔模式的三体导引。根据导引划分，这种曲率诱导的导引表现出持续单向或不对称双向行为，以及从单向导引到双向导引的突然产生转变。这些结果表明，de Sitter曲率不仅会削弱已存在的量子关联，还能在因果不连通区域间再分布并生成具有方向性的多体导引。
英文摘要
We investigate the redistribution and directional properties of Gaussian tripartite quantum steering in de-Sitter space within the continuous-variable framework. By expressing the Bunch-Davies vacuum in terms of the open-chart modes through a Bogoliubov transformation, we derive the covariance matrix of the resulting multipartite Gaussian state and analyze both one-to-two and two-to-one steering configurations. We find that de-Sitter curvature generally suppresses the steering initially shared among the accessible modes, but its influence depends strongly on the steering direction. In particular, while some steering configurations undergo sudden death at finite curvature, two-to-one steering toward a nongravitational mode remains finite throughout the parameter range considered, demonstrating a robustness of tripartite steering absent in its bipartite counterpart. Remarkably, the maximum steering asymmetry occurs at the critical point at which steering in one direction undergoes sudden death, marking the transition from two-way to one-way steering. We further show that the de-Sitter gravitational field can generate tripartite steering involving modes separated by the cosmological horizon. Depending on the steering partition, this curvature-induced steering exhibits persistent one-way or asymmetric two-way behavior, as well as a sudden-birth transition from one-way to two-way steering. These results demonstrate that de-Sitter curvature not only degrades preexisting quantum correlations but also redistributes and generates directional multipartite steering across causally disconnected regions.
Comments26 pages, 4 figures
