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- W2586252007 abstract "For a perturbation of the state of a conformal field theory (CFT), the response of the entanglement entropy is governed by the so-called ``first law'' of entanglement entropy, in which the change in entanglement entropy is proportional to the change in energy. Whether such a first law holds for other types of perturbations, such as a change to the CFT Lagrangian, remains an open question. We use holography to study the evolution in time $t$ of entanglement entropy for a CFT driven by a $t$-linear source for a conserved $U(1)$ current or marginal scalar operator. We find that although the usual first law of entanglement entropy may be violated, a first law for the rates of change of entanglement entropy and energy still holds. More generally, we prove that this first law for rates holds in holography for any asymptotically ($d+1$)-dimensional anti--de Sitter metric perturbation whose $t$ dependence first appears at order ${z}^{d}$ in the Fefferman-Graham expansion about the boundary at $z=0$." @default.
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- W2586252007 date "2017-09-21" @default.
- W2586252007 modified "2023-10-14" @default.
- W2586252007 title "First law of entanglement rates from holography" @default.
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- W2586252007 doi "https://doi.org/10.1103/physrevd.96.066028" @default.
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