Entanglement and correlation functions following a local quench: a conformal field theory approach

Details Entanglement and correlation functions following a local quench: a conformal field theory approach Entanglement and correlation functions following a local quench: a conformal field theory approach

2007-08-28

arxiv.org/abs/0708.3750v2

J. Stat. Mech. (2007) P10004

Physics

Condensed Matter

Statistical Mechanics

19 pages, 4 figures, v2 typos corrected and refs added

Scientific paper

10.1088/1742-5468/2007/10/P10004

We show that the dynamics resulting from preparing a one-dimensional quantum system in the ground state of two decoupled parts, then joined together and left to evolve unitarily with a translational invariant Hamiltonian (a local quench), can be described by means of quantum field theory. In the case when the corresponding theory is conformal, we study the evolution of the entanglement entropy for different bi-partitions of the line. We also consider the behavior of one- and two-point correlation functions. All our findings may be explained in terms of a picture, that we believe to be valid more generally, whereby quasiparticles emitted from the joining point at the initial time propagate semiclassically through the system.

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