通过引力解耦的毛状黑洞的Reeb-Wolf改进朗道尔原理
Reeb-Wolf Improved Landauer Principle for Hairy Black Holes via Gravitational Decoupling
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中文总结 AI 辅助
该研究针对通过引力解耦生成的毛状黑洞，分析其事件视界处信息擦除的朗道尔代价，发现引力毛会降低擦除代价，Reeb-Wolf修正为次要正贡献，且朗道尔谱随视界量子数变化。
中文摘要 AI 辅助
我们研究了通过扩展几何变形生成的毛状黑洞的事件视界处不可逆信息擦除的热力学和量子信息代价。从史瓦西黑洞种子解出发，我们考虑了满足强能量条件（SEC）和主能量条件（DEC）的两类毛状几何。朗道尔原理被用于将擦除1比特信息所需的最小能量与变形视界的霍金温度关联起来。我们推导了相应的视界半径、霍金温度、贝肯斯坦-霍金熵以及归一化朗道尔代价，这些量均作为解耦参数、毛长度尺度和额外引力扇区相关的有效电荷的函数。在分析的参数范围内，我们的结果表明，引力毛倾向于降低霍金温度和最小朗道尔擦除代价，同时增大视界面积和贝肯斯坦-霍金熵。Reeb-Wolf有限尺寸修正为擦除代价提供了额外的正贡献，但由于视界储库的有效维度较大，该修正仍处于次要地位。我们进一步将Reeb-Wolf修正分解为互信息和相对熵贡献，结果显示前者由面积间距参数控制，而后者由相邻视界能级之间的实际能隙控制。此外，通过对面积量子化得到的朗道尔谱随视界相关的量子数增加而减小，尽管这种变化在SEC分支和DEC分支中的表现方式并不相同。总体而言，引力毛的存在改变了视界的热力学性质，进而改变了连续 regime 以及面积量子化后与信息擦除相关的朗道尔代价。
英文摘要
We investigated the thermodynamic and quantum-information cost of irreversible information erasure at the event horizon of hairy black holes generated through extended geometric deformation. Starting from the Schwarzschild black hole seed solution, we considered two families of hairy geometries satisfying the strong and dominant energy conditions. Lan-dauer's principle was used to relate the minimum energy required to erase one bit of information to the Hawking temperature of deformed horizon. We derived corresponding horizon radii, Hawking temperatures, Bekenstein-Hawking entropies and normalised Landauer costs as functions of decoupling parameter, the hair length scale and the effective charge associated with the additional gravitational sector. For the parameter ranges analyzed, our results show that gravitational hair tends to reduce the Hawking temperature and the minimum Landauer erasure cost while simultaneously increasing the horizon area and the Bekenstein-Hawking entropy. The Reeb-Wolf finite-size correction provides an additional positive contribution to the erasure cost but remains subdominant due to the large effective dimension of the horizon reservoir. We further separated the Reeb-Wolf correction into mutual-information and relative-entropy contributions, showing that the former is governed by the area-spacing parameter, whereas the latter is controlled by the actual energy gap between neighboring horizon levels. Furthermore, the Landauer spectrum obtained by quantizing the area decreases as the quantum number associated with the horizon increases, although this variation does not occur in the same way in the SEC and DEC branches. Overall, the presence of gravitational hair alters the thermodynamic properties of the horizon and, consequently, the Landauer cost associated with information erasure, both in the continuous regime and after quantizing the area.
