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Quantum Magnetism and Quantum Entanglement

Note - IPM

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Jahanfar Abouie<br />

Adv Cond Mat<br />

Smr School<br />

2012-IPM<br />

51/<br />

Factorizing point – Homogenous spin-1/2 model<br />

H = ∑ H<br />

l,<br />

l ′<br />

l,<br />

l′<br />

Bloch sphere<br />

H ψ ψ = ε ψ ψ<br />

l,<br />

l′ l l′ l l′<br />

ϕ<br />

ϕ<br />

θ −i<br />

θ i<br />

2 2<br />

ψ<br />

l<br />

= cos e ↑ + sin e ↓<br />

2 2<br />

ϕ<br />

Conditions for factorization

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