Entanglement of excited states in critical spin chians

Details Entanglement of excited states in critical spin chians Entanglement of excited states in critical spin chians

2011-09-26

arxiv.org/abs/1109.5673v1

Physics

Condensed Matter

Statistical Mechanics

23 pages, 13 figures

Scientific paper

Renyi and von Neumann entropies quantifying the amount of entanglement in ground states of critical spin chains are known to satisfy a universal law which is given by the Conformal Field Theory (CFT) describing their scaling regime. This law can be generalized to excitations described by primary fields in CFT, as was done in reference (Alcaraz et. al., Phys. Rev. Lett. 106, 201601 (2011)), of which this work is a completion. An alternative derivation is presented, together with numerical verifications of our results in different models belonging to the c=1,1/2 universality classes. Oscillations of the Renyi entropy in excited states and descendant fields are also discussed.

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