Entanglement in spin chains with gradients

Viktor Eisler, F. 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 - 2009

Fingerprint

Spin Chains
Entanglement
Entropy
Vary
Gradient
gradients
Sandwich
Quenching
Ising
entropy
Ground State
Power Law
Transverse
sandwich structures
Linearly
quenching
ground state
Model
Generalization
Critical systems

Keywords

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

ASJC Scopus subject areas

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

Cite this

Entanglement in spin chains with gradients. / Eisler, Viktor; Iglói, F.; Peschel, Ingo.

In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, No. 2, P02011, 2009.

Research output: Contribution to journalArticle

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