论文标题
广义纠缠温度和纠缠Smarr关系
Generalized entanglement temperature and entanglement Smarr relation
论文作者
论文摘要
我们观察到，在存在激发的情况下，可以全力获取与子系统的纠缠熵的热力学Smarr一样的关系（$ t_g $）。这种关系自然而然地要求普遍的纠缠温度作为IR限制（$ l \ rightarrow \ infty $）的主要术语产生确切的霍金温度。值得注意的是，这种关系的形式与黑洞热力学中的Smarr关系相同。我们对三个时空几何形状进行了证明，即具有非符号因子的背景，违反几何背景的高度标准的背景以及带电的黑洞背景，该背景与具有有限化学势的现场理论相对应。
We observe that in presence of excitation, a thermodynamic Smarr like relation corresponding to a generalized entanglement temperature ($T_g$) can be holographically obtained for the entanglement entropy of a subsystem. Such a relation emerges naturally by demanding that the generalized entanglement temperature produces the exact Hawking temperature as the leading term in the IR limit ($l\rightarrow \infty$). Remarkably, this relation has the same form as the Smarr relation in black hole thermodynamics. We demonstrate this for three spacetime geometries, namely, a background with a nonconformal factor, a hyperscaling violating geometry background, and a charged black hole background which corresponds to a field theory with a finite chemical potential.
