Evolution of entanglement entropy in the D1-D5 brane system

Details Evolution of entanglement entropy in the D1-D5 brane system Evolution of entanglement entropy in the D1-D5 brane system

2011-08-11

arxiv.org/abs/1108.2510v3

Phys. Rev. D 84, 124053 (2011)

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 7 figures. v2: added a reference, figures slightly changed. v3: fixed typos, added some discussion in the introducti

Scientific paper

10.1103/PhysRevD.84.124053

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.

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