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.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.

quant-pharXiv:2608.29079Sep 1, 20260 citations

Decay of quantum accelerator modes

Michael Sheinman, Shmuel Fishman, Italo Guarneri +1 more

Experimentally observable quantum accelerator modes are used as a test case for the study of some general aspects of quantum decay from classical stable islands immersed in a chaotic sea. The modes are shown to correspond to metastable states, analogous to the Wannier-Stark resonances. Different regimes of tunneling, marked by different quantitative dependence of the lifetimes on $1∕\ensuremath{\hbar}$, are identified, depending on the resolution of KAM substructures that is achieved on the scale of $\ensuremath{\hbar}$. The theory of resonance assisted tunneling introduced by Brodier et al. [Ann. Phys. 300, 88 (2002)] is reexamined and found to well describe decay whenever applicable.Experimentally observable quantum accelerator modes are used as a test case for the study of some general aspects of quantum decay from classical stable islands immersed in a chaotic sea. The modes are shown to correspond to metastable states, analogous to the Wannier-Stark resonances. Different regimes of tunneling, marked by different quantitative dependence of the lifetimes on $1∕\ensuremath{\hbar}$, are identified, depending on the resolution of KAM substructures that is achieved on the scale of $\ensuremath{\hbar}$. The theory of resonance assisted tunneling introduced by Brodier et al. [Ann. Phys. 300, 88 (2002)] is reexamined and found to well describe decay whenever applicable.

arXiv:quant-ph/0512072Physical Review AMay 23, 200637 citations

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

ω

increases, and both parameters contribute only weakly except near an optimal

\fracω{s}

ratio.