Entanglement in spin chains with gradients

Viktor Eisler, Ferenc Iglói, Ingo Peschel

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

We study solvable spin chains where either fields or couplings vary linearly in space and create a sandwich-like structure of the ground state. We find that the entropy of entanglement between two halves of a chain varies logarithmically with the interface width. After quenching to a homogeneous critical system, the entropy grows logarithmically in time in the XX model, but quadratically in the transverse Ising chain. We explain this behaviour and indicate generalizations to other power laws.

Original languageEnglish
Article numberP02011
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2009
Issue number2
DOIs
Publication statusPublished - May 6 2009

    Fingerprint

Keywords

  • Entanglement in extended quantum systems (theory)
  • Ladders and planes (theory)
  • Spin chains

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this