Entanglement entropy dynamics of Heisenberg chains

Gabriele De Chiara, S. Montangero, P. Calabrese, R. Fazio

Research output: Contribution to journalArticlepeer-review

232 Citations (Scopus)

Abstract

By means of the time dependent density matrix renormalization group algorithm we study the zero-temperature dynamics of the Von Neumann entropy of a block of spins in a Heisenberg chain after a sudden quench in the anisotropy parameter. In the absence of any disorder the block entropy increases linearly with time and then saturates. We analyse the velocity of propagation of the entanglement as a function of the initial and final anisotropies and compare our results, wherever possible, with those obtained by means of conformal field theory. In the disordered case we find a slower ( logarithmic) evolution which may signal the onset of entanglement localization.
Original languageEnglish
Article numberP03001
JournalJournal of Statistical Mechanics: Theory and Experiment
VolumeP03001
Issue number3
DOIs
Publication statusPublished - 01 Mar 2006

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistical and Nonlinear Physics

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