发表机构
School of Mathematics and Statistics, Hainan Normal University(海南师范大学数学与统计学院)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
研究非惯性框架下高斯态的量子失谐在Unruh效应下的重新分布,揭示其随加速度的衰减规律及压缩参数、场频率对不同模式对失谐的影响。
AI 中文摘要
我们研究了单均匀加速观测者和双均匀加速观测者情形下,连续变量高斯量子失谐在Unruh效应下的重新分布。惯性模式与可及加速模式之间、以及两个可及加速模式之间共享的失谐随加速度单调衰减,并在$a\to\infty$时消失,而Unruh效应在所有因果不连通的Rindler模式对中产生失谐。因此初始量子关联是在Rindler分区中重新分布,而非被破坏。我们进一步刻画了压缩参数$s$和场频率$\u03c9$如何控制不同模式对类别中的失谐:对于因果连通对,$s$和$\u03c9$的影响相当且可互换;对于跨区域对,压缩参数起主导作用;对于观测者内跨区域对,场频率影响更大。在双观测者情形下,$A_{II}$-$B_{II}$对表现出非单调行为,存在一个峰值,其位置随$\u03c9$增大而向更大的$a$移动,除在最优$\u03c9/s$比值附近外,两个参数的影响均较弱。
英文摘要
We investigate the redistribution of continuous-variable Gaussian quantum discord under the Unruh effect for both one and two uniformly accelerated observers. The discord shared between the inertial mode and the accessible accelerated mode, as well as that between the two accessible accelerated modes, decays monotonically with acceleration and vanishes in the limit $a\to\infty$, while the Unruh effect generates discord in all causally disconnected Rindler mode pairs. The initial quantum correlation is therefore redistributed across Rindler partitions rather than destroyed. We further characterize how the squeezing parameter $s$ and field frequency $ω$ control the discord in different mode-pair classes. For causally connected pairs, $s$ and $ω$ exert comparable, interchangeable effects; for cross-region pairs, the squeezing parameter dominates; and for intra-observer cross-region pairs, the field frequency is more influential. In the two-observer case, the $A_{II}$-$B_{II}$ pair exhibits non-monotonic behavior with a peak whose position shifts to larger $a$ as $ω$ increases, and both parameters contribute only weakly except near an optimal $\fracω{s}$ ratio.
Comments11 pages, 31 figures