Subsystem Trace Distance in Conformal Field Theory

admin   2019-05-22 21:18:40   6777

报告题目:Subsystem Trace Distance in Conformal Field Theory
报告时间:2019-06-10 15:30 (星期一)


 Wedevelop a systematic method to calculate the trace distance between two reduceddensity matrices in 1+1 dimensional quantum field theories. The approachexploits the path integral representation of the reduced density matrices andan ad hoc replica trick. We then extensively apply this method to thecalculation of the distance between reduced density matrices of one interval oflength l in eigenstates ofconformal field theories. When the interval is short, using the operatorproduct expansion of twist operators, we obtain a universal form for the leadingorder in l of the trace distance. Wecompute the trace distances among the reduced density matrices of several lowlying states in two-dimensional free massless boson and fermion theories. Wecompare our analytic conformal results with numerical calculations in XX andIsing spin chains finding perfect agreement.    




[1]J. Zhang, P. Ruggiero and P. Calabrese, Subsystem Trace Distance in QuantumField Theory, Phys. Rev. Lett. 122 (2019) 141602, [1901.10993].  

[2]W.-Z. Guo, F.-L. Lin and J. Zhang, Distinguishing Black Hole Microstates usingHolevo Information, Phys. Rev. Lett. 121 (2018) 251603, [1808.02873]    

[3]H. Ouyang, J.-B. Wu and J.-j. Zhang, Supersymmetric Wilson loops in N = 4 superChern-Simons-matter theory, JHEP 11 (2015) 213, [1506.06192].  

[4]B. Chen and J.-j. Zhang, On short interval expansion of Renyi entropy, JHEP 11(2013) 164, [1309.5453].  

[5]B. Chen, S.-x. Liu and J.-j. Zhang, Thermodynamics of Black Hole Horizons andKerr/CFT Correspondence, JHEP 11 (2012) 017, [1206.2015].


地址:long8唯一官方网站北洋园校区32教学楼B区 | 邮编:300350Designed by 2014级long8唯一本科生蒋啸寒
Copyright © 2022 long8唯一官方网站. All rights reserved. | Designed by 2014级long8唯一本科生蒋啸寒