Quantum discord of Gaussian states in non-inertial frames

Abstract: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 $\omega$ control the discord in different mode-pair classes. For causally connected pairs, $s$ and $\omega$ 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 $\omega$ increases, and both parameters contribute only weakly except near an optimal $\frac{\omega}{s}$ ratio.

arXiv:2608.29079 [quant-ph]

(or arXiv:2608.29079v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.29079 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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