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[SiteTypes] Add S2 operator for S=1 and update code style #1502

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merged 5 commits into from
Jun 16, 2024
Merged

[SiteTypes] Add S2 operator for S=1 and update code style #1502

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74a1d49
Add S2 for S=1 and update code style
emstoudenmire Jun 16, 2024
d538bf5
Formatting
emstoudenmire Jun 16, 2024
dc2e93e
Add spin operator aliases
emstoudenmire Jun 16, 2024
3f603d5
Use aliases in spinone.jl
emstoudenmire Jun 16, 2024
a2b4166
Define more aliases and use in qubit.jl
emstoudenmire Jun 16, 2024
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176 changes: 79 additions & 97 deletions src/lib/SiteTypes/src/sitetypes/spinone.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -51,103 +51,83 @@ state(::StateName"Y+", ::SiteType"S=1") = [-1 / 2, -im / sqrt(2), 1 / 2]
state(::StateName"Y0", ::SiteType"S=1") = [1 / sqrt(2), 0, 1 / sqrt(2)]
state(::StateName"Y-", ::SiteType"S=1") = [-1 / 2, im / sqrt(2), 1 / 2]

function op!(Op::ITensor, ::OpName"Sz", ::SiteType"S=1", s::Index)
Op[s' => 1, s => 1] = +1.0
return Op[s' => 3, s => 3] = -1.0
end

function op!(Op::ITensor, ::OpName"Sᶻ", t::SiteType"S=1", s::Index)
return op!(Op, OpName("Sz"), t, s)
end

function op!(Op::ITensor, ::OpName"S+", ::SiteType"S=1", s::Index)
Op[s' => 2, s => 3] = sqrt(2)
return Op[s' => 1, s => 2] = sqrt(2)
end

function op!(Op::ITensor, ::OpName"S⁺", t::SiteType"S=1", s::Index)
return op!(Op, OpName("S+"), t, s)
end

function op!(Op::ITensor, ::OpName"Splus", t::SiteType"S=1", s::Index)
return op!(Op, OpName("S+"), t, s)
end

function op!(Op::ITensor, ::OpName"Sp", t::SiteType"S=1", s::Index)
return op!(Op, OpName("S+"), t, s)
end

function op!(Op::ITensor, ::OpName"S-", ::SiteType"S=1", s::Index)
Op[s' => 3, s => 2] = sqrt(2)
return Op[s' => 2, s => 1] = sqrt(2)
end

function op!(Op::ITensor, ::OpName"S⁻", t::SiteType"S=1", s::Index)
return op!(Op, OpName("S-"), t, s)
end

function op!(Op::ITensor, ::OpName"Sminus", t::SiteType"S=1", s::Index)
return op!(Op, OpName("S-"), t, s)
end

function op!(Op::ITensor, ::OpName"Sm", t::SiteType"S=1", s::Index)
return op!(Op, OpName("S-"), t, s)
end

function op!(Op::ITensor, ::OpName"Sx", ::SiteType"S=1", s::Index)
Op[s' => 2, s => 1] = 1 / sqrt(2)
Op[s' => 1, s => 2] = 1 / sqrt(2)
Op[s' => 3, s => 2] = 1 / sqrt(2)
return Op[s' => 2, s => 3] = 1 / sqrt(2)
end

function op!(Op::ITensor, ::OpName"Sˣ", t::SiteType"S=1", s::Index)
return op!(Op, OpName("Sx"), t, s)
end

function op!(Op::ITensor, ::OpName"iSy", ::SiteType"S=1", s::Index)
Op[s' => 2, s => 1] = -1 / sqrt(2)
Op[s' => 1, s => 2] = +1 / sqrt(2)
Op[s' => 3, s => 2] = -1 / sqrt(2)
return Op[s' => 2, s => 3] = +1 / sqrt(2)
end

function op!(Op::ITensor, ::OpName"iSʸ", t::SiteType"S=1", s::Index)
return op!(Op, OpName("iSy"), t, s)
end

function op!(Op::ITensor, ::OpName"Sy", ::SiteType"S=1", s::Index)
complex!(Op)
Op[s' => 2, s => 1] = +1im / sqrt(2)
Op[s' => 1, s => 2] = -1im / sqrt(2)
Op[s' => 3, s => 2] = +1im / sqrt(2)
return Op[s' => 2, s => 3] = -1im / sqrt(2)
end

function op!(Op::ITensor, ::OpName"Sʸ", t::SiteType"S=1", s::Index)
return op!(Op, OpName("Sy"), t, s)
end

function op!(Op::ITensor, ::OpName"Sz2", ::SiteType"S=1", s::Index)
Op[s' => 1, s => 1] = +1.0
return Op[s' => 3, s => 3] = +1.0
end

function op!(Op::ITensor, ::OpName"Sx2", ::SiteType"S=1", s::Index)
Op[s' => 1, s => 1] = 0.5
Op[s' => 3, s => 1] = 0.5
Op[s' => 2, s => 2] = 1.0
Op[s' => 1, s => 3] = 0.5
return Op[s' => 3, s => 3] = 0.5
end

function op!(Op::ITensor, ::OpName"Sy2", ::SiteType"S=1", s::Index)
Op[s' => 1, s => 1] = +0.5
Op[s' => 3, s => 1] = -0.5
Op[s' => 2, s => 2] = +1.0
Op[s' => 1, s => 3] = -0.5
return Op[s' => 3, s => 3] = +0.5
end
op(::OpName"Sz", ::SiteType"S=1") = [
1.0 0.0 0.0
0.0 0.0 0.0
0.0 0.0 -1.0
]

op(::OpName"Sᶻ", t::SiteType"S=1") = op(OpName("Sz"), t)
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op(::OpName"S+", ::SiteType"S=1") = [
0.0 √2 0.0
0.0 0.0 √2
0.0 0.0 0.0
]

op(::OpName"S⁺", t::SiteType"S=1") = op(OpName("S+"), t)
op(::OpName"Splus", t::SiteType"S=1") = op(OpName("S+"), t)
op(::OpName"Sp", t::SiteType"S=1") = op(OpName("S+"), t)

op(::OpName"S-", ::SiteType"S=1") = [
0.0 0.0 0.0
√2 0.0 0.0
0.0 √2 0.0
]

op(::OpName"S⁻", t::SiteType"S=1") = op(OpName("S-"), t)
op(::OpName"Sminus", t::SiteType"S=1") = op(OpName("S-"), t)
op(::OpName"Sm", t::SiteType"S=1") = op(OpName("S-"), t)

op(::OpName"Sx", ::SiteType"S=1") = [
0.0 1/√2 0.0
1/√2 0.0 1/√2
0.0 1/√2 0.0
]

op(::OpName"Sˣ", t::SiteType"S=1") = op(OpName("Sx"), t)

op(::OpName"iSy", ::SiteType"S=1") = [
0.0 1/√2 0.0
-1/√2 0.0 1/√2
0.0 -1/√2 0.0
]

op(::OpName"iSʸ", t::SiteType"S=1") = op(OpName("iSy"), t)

op(::OpName"Sy", ::SiteType"S=1") = [
0.0 -im/√2 0.0
im/√2 0.0 -im/√2
0.0 im/√2 0.0
]

op(::OpName"Sʸ", t::SiteType"S=1") = op(OpName("Sy"), t)

op(::OpName"Sz2", ::SiteType"S=1") = [
1.0 0.0 0.0
0.0 0.0 0.0
0.0 0.0 1.0
]

op(::OpName"Sx2", ::SiteType"S=1") = [
0.5 0.0 0.5
0.0 1.0 0.0
0.5 0.0 0.5
]

op(::OpName"Sy2", ::SiteType"S=1") = [
0.5 0.0 -0.5
0.0 1.0 0.0
-0.5 0.0 0.5
]

op(::OpName"S2", ::SiteType"S=1") = [
2.0 0.0 0.0
0.0 2.0 0.0
0.0 0.0 2.0
]

op(::OpName"S²", t::SiteType"S=1") = op(OpName("S2"), t)

space(::SiteType"SpinOne"; kwargs...) = space(SiteType("S=1"); kwargs...)

Expand All @@ -157,3 +137,5 @@ val(name::ValName, ::SiteType"SpinOne") = val(name, SiteType("S=1"))
function op!(Op::ITensor, o::OpName, ::SiteType"SpinOne", s::Index)
return op!(Op, o, SiteType("S=1"), s)
end

op(o::OpName, ::SiteType"SpinOne") = op(o, SiteType("S=1"))
2 changes: 2 additions & 0 deletions test/base/test_phys_site_types.jl
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Expand Up @@ -393,6 +393,8 @@ using ITensors, LinearAlgebra, Test
@test Array(op("Sz2", s, 2), s[2]', s[2]) ≈ [1.0 0 0; 0 0 0; 0 0 +1.0]
@test Array(op("Sx2", s, 2), s[2]', s[2]) ≈ [0.5 0 0.5; 0 1.0 0; 0.5 0 0.5]
@test Array(op("Sy2", s, 2), s[2]', s[2]) ≈ [0.5 0 -0.5; 0 1.0 0; -0.5 0 0.5]
@test Array(op("S2", s, 2), s[2]', s[2]) ≈ [2. 0. 0.; 0. 2. 0.; 0. 0. 2.]
@test Array(op("S²", s, 2), s[2]', s[2]) ≈ [2. 0. 0.; 0. 2. 0.; 0. 0. 2.]
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end
end

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