Evolution of Entanglement Entropy in the D1-D5 Brane System
Aug, 201129 pages
Published in:
- Phys.Rev.D 84 (2011) 124053
e-Print:
- 1108.2510 [hep-th]
Report number:
- NSF-KITP-11-179,
- IMSC-2011-8-7
Citations per year
Abstract: (arXiv)
We calculate the evolution of the geometric entanglement entropy following a local quench in the D1D5 conformal field theory, a two-dimensional theory that describes a particular bound state of D1 and D5 branes. The quench corresponds to a localized insertion of the exactly marginal operator that deforms the field theory off of the orbifold (free) point in its moduli space. This deformation ultimately leads to thermalization of the system. We find an exact analytic expression for the entanglement entropy of any spatial interval as a function of time after the quench and analyze its properties. This process is holographically dual to one stage in the formation of a stringy black hole.Note:
- 30 pages, 7 figures. v2: added a reference, figures slightly changed. v3: fixed typos, added some discussion in the introduction and four references
- 04.70.Dy
- 05.20.-y
- 11.25.Hf
- entropy: entanglement
- field theory: conformal
- duality: holography
- quenching
- membrane model
- moduli space
- D-brane
References(73)
Figures(10)