Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians

Autor:	Mao, Weibo, Nozaki, Masahiro, Tamaoka, Kotaro, Tan, Mao Tian
Rok vydání:	2024
Předmět:	High Energy Physics - Theory Condensed Matter - Strongly Correlated Electrons Quantum Physics
Zdroj:	JHEP 07 (2024) 200
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP07(2024)200
Popis:	We explore non-equilibrium processes in two-dimensional conformal field theories (2d CFTs) due to the growth of operators induced by inhomogeneous and homogeneous Hamiltonians by investigating the time dependence of the partition function, energy density, and entanglement entropy. The non-equilibrium processes considered in this paper are constructed out of the Lorentzian and Euclidean time evolution governed by different Hamiltonians. We explore the effect of the time ordering on entanglement dynamics so that we find that in a free boson CFT and RCFTs, this time ordering does not affect the entanglement entropy, while in the holographic CFTs, it does. Our main finding is that in the holographic CFTs, the non-unitary time evolution induced by the inhomogeneous Hamiltonian can retain the initial state information longer than in the unitary time evolution. Comment: 37 pages+appendices, 6 figures. v2: references added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.15851 Zobrazit plný text záznamu View this record from Arxiv