含缺陷与界面的系统中的全息纠缠
Research
问题、方法与公开成果的研究地图
我的研究考察引力几何如何编码量子信息，尤其关注包含边界、缺陷或有效低维引力扇区的系统。我在全息、共形场论与半经典引力之间工作，使用几何构造、解析计算与数值模型区分稳健结构与依赖具体处方的细节。
01 / Research arc
从 island 到边界几何
- 2021
Island formula → defect extremal surfaces
AdS/BCFT · bulk decomposition
Defect extremal surface as the holographic counterpart of Island formula - 2021
Higher-dimensional Page curves
time dependence · dimensional comparison
Page curve from defect extremal surface and island in higher dimensions - 2023
JT gravity from partial reduction
brane fluctuation · dilaton gravity
JT gravity from partial reduction and defect extremal surface - 2024–25
EOW branes and irrelevant deformation
finite cutoff · boundary observables
End of the world brane meets TT̄
02 / Current interests
公开的问题类型，不公开私有项目路线
量子极值结构的几何描述
边界熵与缺陷熵
非平凡 Cauchy 切片上的量子场论
Gaussian 与格点场论的计算方法
AI 辅助的科学推理与验证
03 / Research surfaces
研究相遇的位置
public-summary
几何与量子信息
我研究纠缠与引力区域如何由极值几何结构表示，重点关注黑洞与 brane-world 场景。
RT/HRT/QESisland formulabrane constructionssemiclassical gravity
public-summary
边界、缺陷与界面
我考察边界与缺陷如何改变全息几何、场论观测量及有效低维引力描述。
AdS/BCFTBCFT/DCFTdefect entropypartial reduction
signal-only
计算场论
我为纠缠与界面问题建立解析和数值检验；在能够锐化连续理论问题时，使用格点与 Gaussian 方法。
lattice modelsGaussian covariance methodsMathematicaPython
04 / Methods
相互检验的方法层
| Domain | Methods |
|---|---|
| Holography | RT/HRT/QES, AdS/BCFT, brane constructions |
| Field theory | CFT/BCFT/DCFT, replica methods, open/closed channels |
| Gravity | semiclassical gravity, JT gravity, dimensional reduction |
| Numerics | lattice fermions, Gaussian bosonic systems, covariance methods |
| Computation | Mathematica, Python, symbolic and numerical verification |
| Research systems | literature mapping, manuscript auditing, AI-agent workflows |