Entanglement entropy dynamics of disordered quantum spin chains

Ferenc Iglói, Zsolt Szatmári, Yu Cheng Lin

Research output: Contribution to journalArticle

59 Citations (Scopus)

Abstract

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 noncritical 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)∼lnlnt. This type of ultraslow increase is explained through the strong disorder renormalization group method.

Original languageEnglish
Article number094417
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume85
Issue number9
DOIs
Publication statusPublished - Mar 12 2012

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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