2014/12/31 by Xiaojian Bai, Bum-Hoon Lee, Li Li +2 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Gaussian #Geometry #Holography #Mathematics #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum entanglement #Quantum mechanics #Scaling #Statistical physics #Superconductivity #hep-th
paper · pdf · doi:10.1007/jhep04(2015)066
19 pages; 7 figures; compatible with JHEP version
openalex publication_date 2015/04/01 · arxiv created 2015/04/16 · arxiv updated 2015/04/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the dynamical evolution of entanglement entropy in a holographic superconductor model by quenching the source term of the dual charged scalar operator. By access to the full background geometry, the holographic entanglement entropy is calculated for a strip geometry at the AdS boundary. It is found that the entanglement entropy exhibits a robust non-monotonic behaviour in time, independent of the strength of Gaussian quench and the size of the strip: it first displays a small dip, then grows linearly, and finally saturates. In particular, the linear growth velocity of the entanglement entropy has an upper bound for strip with large width; the equilibrium value of the non-local probe at late time shows a power law scaling behaviour with respect to the quench strength; moreover, the entanglement entropy can uncover the dynamical transition at certain critical quench strength which happens to coincide with the one obtained form the dynamical evolution of scalar order parameter.