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arXiv 2104.11269gr-qchep-thquant-ph
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热场在加速Unruh-DeWitt探测器纠缠捕获中的作用

Role of thermal field in entanglement harvesting between two accelerated Unruh-DeWitt detectors

Dipankar Barman, Subhajit Barman, Bibhas Ranjan Majhi

备注：
Modified version, to appear in JHEP
发表信息：
JHEP07(2021)124
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摘要：

我们研究了场温度$T^{(f)}$对两个匀加速探测器之间纠缠捕获的影响。对于它们的平行运动，场的热性质不会产生任何纠缠，因此，结果与非热情况相同。相反，当探测器处于反平行运动时，$T^{(f)}$影响纠缠捕获，即，当探测器$A$和$B$分别位于右Rindler楔形块和左Rindler楔形块时。虽然对于$T^{(f)}=0$，纠缠捕获对于$A$的加速度$a_A$的所有值都是可能的，但是在存在温度的情况下，仅在$a_A$的窄范围内是可能的。在$(1+1)$维度中，范围从特定值开始并延伸到无穷大，并且随着我们增加$T^{(f)}$，纠缠捕获所需的最小值$a_A$也增加。此外，在一个临界值以上，$a_A=a_c$的收获随$T^{(f)}$的增加而增加，这与低于该临界值的加速度正好相反，在不同的加速度下，$(1+3)$维度上存在多个临界值。与$(1+1)$维度中的单个范围相反，在此可以在$a_A$的若干离散范围内进行收集。有趣的是，对于相等的加速度，有一个单一的临界点，性质非常类似于$(1+1)$尺寸的结果。我们还讨论了这些检测器之间的互信息对$a_A$和$T^{(f)}$的依赖性。

英文摘要：

We investigate the effects of field temperature $T^{(f)}$ on the entanglement harvesting between two uniformly accelerated detectors. For their parallel motion, the thermal nature of fields does not produce any entanglement, and therefore, the outcome is the same as the non-thermal situation. On the contrary, $T^{(f)}$ affects entanglement harvesting when the detectors are in anti-parallel motion, i.e., when detectors $A$ and $B$ are in the right and left Rindler wedges, respectively. While for $T^{(f)}=0$ entanglement harvesting is possible for all values of $A$'s acceleration $a_A$, in the presence of temperature, it is possible only within a narrow range of $a_A$. In $(1+1)$ dimensions, the range starts from specific values and extends to infinity, and as we increase $T^{(f)}$, the minimum required value of $a_A$ for entanglement harvesting increases. Moreover, above a critical value $a_A=a_c$ harvesting increases as we increase $T^{(f)}$, which is just opposite to the accelerations below it. There are several critical values in $(1+3)$ dimensions when they are in different accelerations. Contrary to the single range in $(1+1)$ dimensions, here harvesting is possible within several discrete ranges of $a_A$. Interestingly, for equal accelerations, one has a single critical point, with nature quite similar to $(1+1)$ dimensional results. We also discuss the dependence of mutual information among these detectors on $a_A$ and $T^{(f)}$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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