Abstract
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 language | English |
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Pages (from-to) | 73-77 |
Number of pages | 5 |
Journal | Solid State Communications |
Volume | 202 |
DOIs | |
State | Published - 1 Jan 2015 |
Externally published | Yes |
Keywords
- A. Frustrated magnets
- D. Entanglement
- D. RVB states
- D. Singlet states
ASJC Scopus subject areas
- General Chemistry
- Condensed Matter Physics
- Materials Chemistry