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Spin

Predefined local spaces for spin systems.

FiniteMPS.SU₂Spin — Module
 module SU₂Spin

Prepare the local space of SU₂ spin-1/2.

Fields

 pspace::VectorSpace

Local d = 2 Hilbert space.

 SS::NTuple{2, TensorMap}

Two rank-3 operators of Heisenberg S⋅S interaction.

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FiniteMPS.U₁Spin — Module
 module U₁Spin

Prepare the local space of U₁ spin-1/2.

Fields

 pspace::VectorSpace

Local d = 2 Hilbert space.

Sz::TensorMap

Rank-2 spin-z operator Sz = (n↑ - n↓)/2.

S₊₋::NTuple{2, TensorMap}
S₋₊::NTuple{2, TensorMap}

Two rank-3 operators of S₊₋ and S₋₊ interaction. Note Heisenberg S⋅S = SzSz + (S₊₋ + S₋₊)/2.

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FiniteMPS.U1Spin — Module
 module U₁Spin

Prepare the local space of U₁ spin-1/2.

Fields

 pspace::VectorSpace

Local d = 2 Hilbert space.

Sz::TensorMap

Rank-2 spin-z operator Sz = (n↑ - n↓)/2.

S₊₋::NTuple{2, TensorMap}
S₋₊::NTuple{2, TensorMap}

Two rank-3 operators of S₊₋ and S₋₊ interaction. Note Heisenberg S⋅S = SzSz + (S₊₋ + S₋₊)/2.

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FiniteMPS.NoSymSpinOneHalf — Module
 module NoSymSpinOneHalf

Prepare the local space of U₁ spin-1/2. Basis convention is {|↑⟩, |↓⟩}.

Fields

 pspace::VectorSpace

Local d = 2 Hilbert space.

Sz::TensorMap
Sx::TensorMap
Sy::TensorMap

Rank-2 spin-1/2 operators.

S₊::TensorMap

Rank-2 spin-plus operator S₊ = Sx + iSy. S₋::TensorMap Rank-2 spin-minus operator S₋ = Sx - iSy.

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