MS Seminar (Mathematics - String Theory)

Speaker: Masahiro Nozaki (YITP Kyoto)
Title: Quantum Entanglement of Local Operators
Date: Fri, Oct 24, 2014, 13:15 - 14:45
Place: Balcony A
Related File: 1313.pdf
Abstract: We have introduced a new class of excited states which is defined by acting local operators on the ground state. We have investigated the time evolution of (Renyi) entanglement entropies for those locally excited states when the subsystem size is given by a half of the total space. We have found that they approach finite constants. We defined (Renyi) entanglement entropies of local operators by final values of those (Renyi) entanglement entropies. We have found that they depend on the details of local operators. We expect that they characterize local operators from the viewpoint of quantum entanglement. They help us study higher dimensional CFTs more. We also found the sum rule which those entropies obey. We also found that these results are interpreted in terms of the relativistic propagation of quasi-particles. We have investigated these quantities in strongly coupled theory. We obtained some interesting features of those quantities. We would like to talk about the results which we obtained as long as time allows. This talk is based on three papers (arXiv:1401.0539 [hep-th], arXiv:1405.5946 [hep-th], arXiv:1405.5875 [hep-th]).