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PKU HEP Seminar and Workshop (北京大学高能物理组)

Subsystem Trace Distance in Conformal Field Theory

by Dr Jiaju Zhang (SISSA)

Asia/Shanghai
B105 (CHEP)

B105

CHEP

West Building, School of Physics, PKU
Description
We develop a systematic method to calculate the trace distance between two reduced density matrices in 1+1 dimensional quantum field theories. The approach exploits the path integral representation of the reduced density matrices and an ad hoc replica trick. We then extensively apply this method to the calculation of the distance between reduced density matrices of one interval of length \ell in eigenstates of conformal field theories. When the interval is short, using the operator product expansion of twist operators, we obtain a universal form for the leading order in \ell of the trace distance. We compute the trace distances among the reduced density matrices of several low lying states in two-dimensional free massless boson and fermion theories. We compare our analytic conformal results with numerical calculations in XX and Ising spin chains finding perfect agreement.
Participants
  • Bin Chen
  • Bin Li
  • Clement Berthiere
  • Guojin Tseng
  • Jiang-Hao YU
  • Jue Hou
  • Jun Gao
  • Lin Chen
  • Peng-Xiang Hao
  • Qian-Fei Xiang
  • Qing-Hong Cao
  • Rui Zhang
  • S L ZHU
  • Shi-Ping He
  • Shu-Yuan Guo
  • Sijin Qian
  • Tian Jia
  • Xingchang Song
  • Yan-Qing Ma
  • Yandong Liu
  • Yanjun Liu
  • Yu-Jie Zhang
  • yuefeng liu
  • Zhen Zhang
  • 东 胡
  • 凌霄 徐
  • 娇 张
  • 安康 魏
  • 广娟 王
  • 律 吕
  • 昊 ZHANG
  • 星 王
  • 李林 杨
  • 浩然 蒋