Holographic quantum entanglement negativity

被引:0
作者
Pankaj Chaturvedi
Vinay Malvimat
Gautam Sengupta
机构
[1] Indian Institute of Technology,Department of Physics
[2] Tsinghua University,Yau Mathematical Sciences Center
来源
Journal of High Energy Physics | / 2018卷
关键词
AdS-CFT Correspondence; Gauge-gravity correspondence;
D O I
暂无
中图分类号
学科分类号
摘要
We advance a holographic conjecture for the entanglement negativity of bipartite quantum states in (1 + 1)-dimensional conformal field theories in the AdS3/CF T2 framework. Our conjecture exactly reproduces the replica technique results in the large central charge limit, for both the pure state described by the CF T1+1 vacuum dual to bulk the pure AdS3 geometry and the finite temperature mixed state dual to a Euclidean BTZ black hole respectively. The holographic entanglement negativity characterizes the distillable entanglement and reduces to a specific sum of holographic mutual informations. We briefly allude to a possible higher dimensional generalization of our conjecture in a generic AdSd+1/CF Td scenario.
引用
收藏
相关论文
共 46 条
[1]  
Calabrese P(2004)Entanglement entropy and quantum field theory J. Stat. Mech. 0406 181602-undefined
[2]  
Cardy JL(2006)Holographic derivation of entanglement entropy from AdS/CFT Phys. Rev. Lett. 96 045-undefined
[3]  
Ryu S(2006)Aspects of holographic entanglement entropy JHEP 08 153001-undefined
[4]  
Takayanagi T(2012)Entanglement entropy from a holographic viewpoint Class. Quant. Grav. 29 504008-undefined
[5]  
Ryu S(2009)Holographic entanglement entropy: an overview J. Phys. A 42 098-undefined
[6]  
Takayanagi T(2013)Strongly coupled gauge theories: high and low temperature behavior of non-local observables JHEP 05 130502-undefined
[7]  
Takayanagi T(2012)Entanglement negativity in quantum field theory Phys. Rev. Lett. 109 015006-undefined
[8]  
Nishioka T(2013)Entanglement negativity in extended systems: a field theoretical approach J. Stat. Mech. 1302 060-undefined
[9]  
Ryu S(2014)Finite temperature entanglement negativity in conformal field theory Journal of Physics A: Mathematical and Theoretical 48 043-undefined
[10]  
Takayanagi T(2014)Comments on entanglement negativity in holographic field theories JHEP 10 P11001-undefined