Study of two-spin entanglement in singlet states

M. Q. Lone, A. Dey, S. Yarlagadda

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We study the entanglement properties of two-spin subsystems in spin-singlet states. The average entanglement between two spins is maximized in a single valence-bond (VB) state. On the other hand, Ev2 (the average entanglement between a subsystem of two spins and the rest of the system) can be maximized through a homogenized superposition of the VB states. The maximal Ev2 rapidly increases with system size and saturates at its maximum allowed value. We adopt two ways of obtaining maximal Ev2 states: (1) imposing homogeneity on singlet states; and (2) generating isotropy in a general homogeneous state. By using these two approaches, we construct explicitly four-spin and six-spin highly entangled states that are both isotropic and homogeneous. Our maximal E2v states represent a new class of resonating-valence-bond states which we show to be the ground states of the infinite-range Heisenberg model.

Original languageEnglish
Pages (from-to)73-77
Number of pages5
JournalSolid State Communications
StatePublished - 1 Jan 2015
Externally publishedYes


  • A. Frustrated magnets
  • D. Entanglement
  • D. RVB states
  • D. Singlet states

ASJC Scopus subject areas

  • Chemistry (all)
  • Condensed Matter Physics
  • Materials Chemistry


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