2023/09/08 by Farzad Omidi, Omidi, Farzad · 1 citation
Computer Science · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum many-body systems
paper · pdf · doi:10.48550/arxiv.2309.04112
openalex publication_date 2023/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we investigate the second and third pseudo Rényi entanglement entropies (PREE) for a locally excited state | ψ⟩ and its time evolution | ϕ⟩ = e- i H t | ψ⟩ in a two-dimensional conformal field theory whose field content is a free massless scalar field. We consider excited states which are constructed by applying primary operators at time t=0, on the vacuum state. We study the time evolution of the PREE for an entangling region in the shape of finite and semi-infinite intervals at zero temperature. It is observed that the PREE is always a complex number for t ≠ 0 and is a pure real number at t=0. Moreover, we discuss on its dependence on the location xm of the center of the entangling region.