Entanglement entropy dynamics of disordered quantum spin chains

Details Entanglement entropy dynamics of disordered quantum spin chains Entanglement entropy dynamics of disordered quantum spin chains

2012-01-18

arxiv.org/abs/1201.3695v2

Phys. Rev. B 85, 094417 (2012)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 8(+1) figures; published version

Scientific paper

10.1103/PhysRevB.85.094417

By means of free fermionic techniques we study the time evolution of the entanglement entropy, S(t), of a block of spins in the random transverse-field Ising chain after a sudden change of the parameters of the Hamiltonian. We consider global quenches, when the parameters are modified uniformly in space, as well as local quenches, when two disconnected blocks are suddenly joined together. For a non-critical final state, the dynamical entanglement entropy is found to approach a finite limiting value for both types of quenches. If the quench is performed to the critical state, the entropy grows for an infinite block as S(t) \sim ln ln t. This type of ultraslow increase is explained through the strong disorder renormalization group method.

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