Entanglement between random and clean quantum spin chains

Róbert Juhász, István A. Kovács, Gergo Roósz, F. Iglói

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The entanglement entropy in clean, as well as in random quantum spin chains has a logarithmic size-dependence at the critical point. Here, we study the entanglement of composite systems that consist of a clean subsystem and a random subsystem, both being critical. In the composite, antiferromagnetic XX-chain with a sharp interface, the entropy is found to grow in a doublelogarithmic fashion S ∼ ln ln(L), where L is the length of the chain. We have also considered an extended defect at the interface, where the disorder penetrates into the homogeneous region in such a way that the strength of disorder decays with the distance l from the contact point as ∼l-k. For k < 1/2, the entropy scales as S(k) ln 2(1 6-2k)ln L, while for k 1/2, when the extended interface defect is an irrelevant perturbation, we recover the double-logarithmic scaling. These results are explained through strongdisorder RG arguments.

Original languageEnglish
Article number324003
JournalJournal of Physics A: Mathematical and Theoretical
Volume50
Issue number32
DOIs
Publication statusPublished - Jul 13 2017

Fingerprint

Quantum Spin Chain
Entanglement
Entropy
entropy
Disorder
Logarithmic
Subsystem
Defects
Composite
disorders
composite materials
defects
Point contacts
Large scale systems
Critical point
critical point
Scaling
Contact
Decay
Perturbation

Keywords

  • disordered systems
  • entanglement entropy
  • Quantum spin chains
  • strong disorder renormalisation group

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Entanglement between random and clean quantum spin chains. / Juhász, Róbert; Kovács, István A.; Roósz, Gergo; Iglói, F.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 50, No. 32, 324003, 13.07.2017.

Research output: Contribution to journalArticle

Juhász, Róbert ; Kovács, István A. ; Roósz, Gergo ; Iglói, F. / Entanglement between random and clean quantum spin chains. In: Journal of Physics A: Mathematical and Theoretical. 2017 ; Vol. 50, No. 32.
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