Local quenches, bulk entanglement entropy and a unitary Page curve

被引:23
作者
Agon, Cesar A. [1 ]
Lokhande, Sagar F. [2 ]
Pedraza, Juan F. [3 ,4 ]
机构
[1] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA
[2] Univ Illinois, Dept Phys, Urbana, IL 61801 USA
[3] UCL, Dept Phys & Astron, London WC1E 6BT, England
[4] Brandeis Univ, Martin Fisher Sch Phys, Waltham, MA 02453 USA
基金
美国国家科学基金会; 美国能源部; 英国工程与自然科学研究理事会;
关键词
AdS-CFT Correspondence; Conformal Field Theory; Black Holes; Holography and condensed matter physics (AdS; CMT);
D O I
10.1007/JHEP08(2020)152
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Quantum corrections to the entanglement entropy of matter fields interacting with dynamical gravity have proven to be very important in the study of the black hole information problem. We consider a one-particle excited state of a massive scalar field infalling in a pure AdS(3) geometry and compute these corrections for bulk subregions anchored on the AdS boundary. In the dual CFT2, the state is given by the insertion of a local primary operator and its evolution thereafter. We calculate the area and bulk entanglement entropy corrections at order O (N-0), both in AdS and its CFT dual. The two calculations match, thus providing a non-trivial check of the FLM formula in a dynamical setting. Further, we observe that the bulk entanglement entropy follows a Page curve. We explain the precise sense in which our setup can be interpreted as a simple model of black hole evaporation and comment on the implications for the information problem.
引用
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页数:61
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