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Spin operators

TensorKitTensors.SpinOperators.S_min — Function
S_min([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)
S⁻([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)

The spin lowering operator. See also σ⁻

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TensorKitTensors.SpinOperators.S_minplus — Function
S_minplus([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)
S⁻⁺([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)

The spin lowering-raising operator.

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TensorKitTensors.SpinOperators.S_plus — Function
S_plus([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)
S⁺([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)

The spin raising operator. See also σ⁺

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TensorKitTensors.SpinOperators.S_plusmin — Function
S_plusmin([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)
S⁺⁻([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)

The spin raising-lowering operator.

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TensorKitTensors.SpinOperators.S_x — Function
S_x([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)
Sˣ([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)

The spin operator along the x-axis. See also σˣ

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TensorKitTensors.SpinOperators.S_xx — Function
S_xx([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)
Sˣˣ([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)

The spin x exchange operator.

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TensorKitTensors.SpinOperators.S_y — Function
S_y([eltype::Type{<:Complex}], [symmetry::Type{<:Sector}]; spin=1 // 2)
Sʸ([eltype::Type{<:Complex}], [symmetry::Type{<:Sector}]; spin=1 // 2)

The spin operator along the y-axis. See also σʸ

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TensorKitTensors.SpinOperators.S_yy — Function
S_yy([eltype::Type{<:Complex}], [symmetry::Type{<:Sector}]; spin=1 // 2)
Sʸʸ([eltype::Type{<:Complex}], [symmetry::Type{<:Sector}]; spin=1 // 2)

The spin y exchange operator.

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TensorKitTensors.SpinOperators.S_z — Function
S_z([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)
Sᶻ([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)

The spin operator along the z-axis. See also σᶻ

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TensorKitTensors.SpinOperators.S_zz — Function
S_zz([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)
Sᶻᶻ([eltype::Type{<:Number}], [symmetry::Type{<:Sector}]; spin=1 // 2)

The spin z exchange operator.

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TensorKitTensors.SpinOperators.spin_space — Method
spin_space([symmetry::Type{<:Sector}]; spin=1 // 2)

The local Hilbert space for a spin system with a given symmetry and spin. Available symmetries are Trivial, Z2Irrep, U1Irrep and SU2Irrep.

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