Holographic Local Quenches and Entanglement Density

Feb 22, 2013
41 pages
Published in:
  • JHEP 05 (2013) 080
e-Print:
Report number:
  • YITP-13-14,
  • IPMU-13-0045

Citations per year

201320162019202220250510152025
Abstract: (Springer)
We propose a free falling particle in an AdS space as a holographic model of local quench. Local quenches are triggered by local excitations in a given quantum system. We calculate the time-evolution of holographic entanglement entropy. We confirm a logarithmic time-evolution, which is known to be typical in two dimensional local quenches. To study the structure of quantum entanglement in general quantum systems, we introduce a new quantity which we call entanglement density and apply this analysis to quantum quenches. We show that this quantity is directly related to the energy density in a small size limit. Moreover, we find a simple relationship between the amount of quantum information possessed by a massive object and its total energy based on the AdS/CFT.
Note:
  • 41 pages, 19 figures, minor change
  • entanglement: quantum
  • entropy: entanglement
  • space: anti-de Sitter
  • field theory: conformal
  • dimension: 2
  • quenching
  • holography
  • AdS/CFT correspondence