Study of two-spin entanglement in singlet states

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

doi:10.1016/j.ssc.2014.11.007

Study of two-spin entanglement in singlet states

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

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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, E_v² (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 E_v² rapidly increases with system size and saturates at its maximum allowed value. We adopt two ways of obtaining maximal E_v² 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 E²_v 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
Pages (from-to)	73-77
Number of pages	5
Journal	Solid State Communications
Volume	202
DOIs	https://doi.org/10.1016/j.ssc.2014.11.007
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

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10.1016/j.ssc.2014.11.007

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title = "Study of two-spin entanglement in singlet states",

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.",

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T1 - Study of two-spin entanglement in singlet states

AU - Lone, M. Q.

AU - Dey, A.

AU - Yarlagadda, S.

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N2 - 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.

AB - 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.

KW - A. Frustrated magnets

KW - D. Entanglement

KW - D. RVB states

KW - D. Singlet states

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DO - 10.1016/j.ssc.2014.11.007

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SN - 0038-1098

VL - 202

SP - 73

EP - 77

JO - Solid State Communications

JF - Solid State Communications

ER -

Study of two-spin entanglement in singlet states

Abstract

Keywords

ASJC Scopus subject areas

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